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123001223133100 = 225213114281827927
BaseRepresentation
bin11011111101111001110100…
…001101100011011110101100
3121010111210122201120220120111
4123331321310031203132230
5112110223001110224400
61113333552024225404
734623354654665044
oct3375716415433654
9533453581526514
10123001223133100
1136212586906994
121196656490b264
135382c72490570
142253410598724
15e348264543ba
hex6fde743637ac

123001223133100 has 72 divisors (see below), whose sum is σ = 287447259260448. Its totient is φ = 45415383974400.

The previous prime is 123001223133091. The next prime is 123001223133119. The reversal of 123001223133100 is 1331322100321.

It is a super-2 number, since 2×1230012231331002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148151337 + ... + 148979263.

It is an arithmetic number, because the mean of its divisors is an integer number (3992323045284).

Almost surely, 2123001223133100 is an apocalyptic number.

123001223133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123001223133100 is an abundant number, since it is smaller than the sum of its proper divisors (164446036127348).

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

123001223133100 is a wasteful number, since it uses less digits than its factorization.

123001223133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942235 (or 942228 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123001223133100 its reverse (1331322100321), we get a palindrome (124332545233421).

The spelling of 123001223133100 in words is "one hundred twenty-three trillion, one billion, two hundred twenty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 114281 228562 457124 571405 827927 1142810 1485653 1655854 2285620 2857025 2971306 3311708 4139635 5714050 5942612 7428265 8279270 10763051 11428100 14856530 16558540 20698175 21526102 29713060 37141325 41396350 43052204 53815255 74282650 82792700 107630510 148565300 215261020 269076275 538152550 1076305100 94616325487 189232650974 378465301948 473081627435 946163254870 1230012231331 1892326509740 2365408137175 2460024462662 4730816274350 4920048925324 6150061156655 9461632548700 12300122313310 24600244626620 30750305783275 61500611566550 123001223133100