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123430301010 = 23359714473257
BaseRepresentation
bin111001011110100000…
…1001110110101010010
3102210121001212221212000
41302331001032311102
54010241124113020
6132411511414430
711626501150662
oct1627501166522
9383531787760
10123430301010
114838a207035
121bb08684416
13b840a8c193
145d8cb601a2
1533261e6090
hex1cbd04ed52

123430301010 has 128 divisors (see below), whose sum is σ = 332872727040. Its totient is φ = 32542912512.

The previous prime is 123430301009. The next prime is 123430301039. The reversal of 123430301010 is 10103034321.

123430301010 is a `hidden beast` number, since 12 + 343 + 0 + 301 + 0 + 10 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37895302 + ... + 37898558.

It is an arithmetic number, because the mean of its divisors is an integer number (2600568180).

Almost surely, 2123430301010 is an apocalyptic number.

123430301010 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 123430301010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166436363520).

123430301010 is an abundant number, since it is smaller than the sum of its proper divisors (209442426030).

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

123430301010 is a wasteful number, since it uses less digits than its factorization.

123430301010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4811 counting only the distinct ones).

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

Adding to 123430301010 its reverse (10103034321), we get a palindrome (133533335331).

The spelling of 123430301010 in words is "one hundred twenty-three billion, four hundred thirty million, three hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 97 135 194 270 291 485 582 873 970 1447 1455 1746 2619 2894 2910 3257 4341 4365 5238 6514 7235 8682 8730 9771 13023 13095 14470 16285 19542 21705 26046 26190 29313 32570 39069 43410 48855 58626 65115 78138 87939 97710 130230 140359 146565 175878 195345 280718 293130 315929 390690 421077 439695 631858 701795 842154 879390 947787 1263231 1403590 1579645 1895574 2105385 2526462 2843361 3159290 3789693 4210770 4712879 4738935 5686722 6316155 7579386 8530083 9425758 9477870 12632310 14138637 14216805 17060166 18948465 23564395 28277274 28433610 37896930 42415911 42650415 47128790 70693185 84831822 85300830 127247733 141386370 212079555 254495466 424159110 457149263 636238665 914298526 1272477330 1371447789 2285746315 2742895578 4114343367 4571492630 6857238945 8228686734 12343030101 13714477890 20571716835 24686060202 41143433670 61715150505 123430301010