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123012032310102 = 231323223836336767
BaseRepresentation
bin11011111110000011111000…
…011111010010101101010110
3121010112211120000221222212110
4123332003320133102231112
5112110412120232410402
61113342540354331450
734624216556324445
oct3376037037225526
9533484500858773
10123012032310102
113621712335a621
1211968680889b86
135383ca59c49a0
142253b57d94d5c
15e34c5a39d56c
hex6fe0f87d2b56

123012032310102 has 128 divisors (see below), whose sum is σ = 277749044084736. Its totient is φ = 36036569619072.

The previous prime is 123012032310077. The next prime is 123012032310109. The reversal of 123012032310102 is 201013230210321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012032310109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3345700123 + ... + 3345736889.

It is an arithmetic number, because the mean of its divisors is an integer number (2169914406912).

Almost surely, 2123012032310102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012032310102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138874522042368).

123012032310102 is an abundant number, since it is smaller than the sum of its proper divisors (154737011774634).

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

123012032310102 is a wasteful number, since it uses less digits than its factorization.

123012032310102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45394.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123012032310102 its reverse (201013230210321), we get a palindrome (324025262520423).

The spelling of 123012032310102 in words is "one hundred twenty-three trillion, twelve billion, thirty-two million, three hundred ten thousand, one hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 223 299 446 598 669 897 1338 1794 2899 5129 5798 8363 8697 10258 15387 16726 17394 25089 30774 36767 50178 66677 73534 108719 110301 133354 192349 200031 217438 220602 326157 384698 400062 477971 577047 652314 845641 955942 1154094 1433913 1691282 1864949 2500537 2536923 2867826 3729898 5001074 5073846 5594847 7501611 8199041 10993333 11189694 15003222 16398082 21986666 24244337 24597123 32979999 42893827 48488674 49194246 65959998 72733011 85787654 106587533 128681481 145466022 188577943 213175066 257362962 307482421 319762599 377155886 557619751 565733829 614964842 639525198 922447263 1115239502 1131467658 1672859253 1844894526 2451513259 3345718506 3997271473 4903026518 7072095683 7354539777 7994542946 11991814419 14144191366 14709079554 21216287049 23983628838 42432574098 68568579883 91937243879 137137159766 183874487758 205705739649 275811731637 411411479298 551623463274 891391538479 1577077337309 1782783076958 2674174615437 3154154674618 4731232011927 5348349230874 9462464023854 20502005385017 41004010770034 61506016155051 123012032310102