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123232202231130 = 23451076132319503
BaseRepresentation
bin11100000001010000111011…
…101000111000110101011010
3121011022212212001111211110000
4130001100323220320311122
5112123014022232344010
61114032031524033430
734646142564635106
oct3401207350706532
9534285761454400
10123232202231130
11362a1535558a43
12119a3287232876
13539b992973b75
142260682b50906
15e3a8444557c0
hex70143ba38d5a

123232202231130 has 160 divisors (see below), whose sum is σ = 335000247462144. Its totient is φ = 32501678488704.

The previous prime is 123232202231119. The next prime is 123232202231167. The reversal of 123232202231130 is 31132202232321.

123232202231130 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 322 + 0 + 22 + 311 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123232202231094 and 123232202231103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51968959 + ... + 54288461.

Almost surely, 2123232202231130 is an apocalyptic number.

123232202231130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123232202231130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167500123731072).

123232202231130 is an abundant number, since it is smaller than the sum of its proper divisors (211768045231014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123232202231130 is a wasteful number, since it uses less digits than its factorization.

123232202231130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320242 (or 2320233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123232202231130 its reverse (31132202232321), we get a palindrome (154364404463451).

The spelling of 123232202231130 in words is "one hundred twenty-three trillion, two hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 107 135 162 214 270 321 405 535 613 642 810 963 1070 1226 1605 1839 1926 2889 3065 3210 3678 4815 5517 5778 6130 8667 9195 9630 11034 14445 16551 17334 18390 27585 28890 33102 43335 49653 55170 65591 82755 86670 99306 131182 165510 196773 248265 327955 393546 496530 590319 655910 983865 1180638 1770957 1967730 2319503 2951595 3541914 4639006 5312871 5903190 6958509 8854785 10625742 11597515 13917018 17709570 20875527 23195030 26564355 34792545 41751054 53128710 62626581 69585090 104377635 125253162 187879743 208755270 248186821 313132905 375759486 496373642 626265810 744560463 939398715 1240934105 1421855339 1489120926 1878797430 2233681389 2481868210 2843710678 3722802315 4265566017 4467362778 6701044167 7109276695 7445604630 8531132034 11168406945 12796698051 13402088334 14218553390 20103132501 21327830085 22336813890 25593396102 33505220835 38390094153 40206265002 42655660170 63983490255 67010441670 76780188306 100515662505 115170282459 127966980510 152138521273 191950470765 201031325010 230340564918 304277042546 383900941530 456415563819 575851412295 760692606365 912831127638 1151702824590 1369246691457 1521385212730 2282077819095 2738493382914 4107740074371 4564155638190 6846233457285 8215480148742 12323220223113 13692466914570 20538700371855 24646440446226 41077400743710 61616101115565 123232202231130