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230122113300 = 2232521715040661
BaseRepresentation
bin1101011001010001011…
…0001100100100010100
3210222222121100120211100
43112110112030210110
512232242230111200
6253414443310100
722424432455212
oct3262426144424
9728877316740
10230122113300
1189659a2a812
123872351b330
1318914a9b061
14b1d0835cb2
155ebcb6ed00
hex359458c914

230122113300 has 108 divisors (see below), whose sum is σ = 763734735036. Its totient is φ = 57756134400.

The previous prime is 230122113241. The next prime is 230122113307. The reversal of 230122113300 is 3311221032.

230122113300 is a `hidden beast` number, since 2 + 301 + 22 + 11 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9556626564 + 220565486736 = 97758^2 + 469644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230122113307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7505031 + ... + 7535630.

It is an arithmetic number, because the mean of its divisors is an integer number (7071617917).

Almost surely, 2230122113300 is an apocalyptic number.

230122113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230122113300 is an abundant number, since it is smaller than the sum of its proper divisors (533612621736).

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

230122113300 is a wasteful number, since it uses less digits than its factorization.

230122113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15040698 (or 15040688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230122113300 its reverse (3311221032), we get a palindrome (233433334332).

It can be divided in two parts, 23012 and 2113300, that added together give a palindrome (2136312).

The spelling of 230122113300 in words is "two hundred thirty billion, one hundred twenty-two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 15040661 30081322 45121983 60162644 75203305 90243966 135365949 150406610 180487932 225609915 255691237 270731898 300813220 376016525 451219830 511382474 541463796 676829745 752033050 767073711 902439660 1022764948 1128049575 1278456185 1353659490 1504066100 1534147422 2256099150 2301221133 2556912370 2707318980 3068294844 3384148725 3835368555 4512198300 4602442266 5113824740 6392280925 6768297450 7670737110 9204884532 11506105665 12784561850 13536594900 15341474220 19176842775 23012211330 25569123700 38353685550 46024422660 57530528325 76707371100 115061056650 230122113300