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123113030100 = 2235229112312601
BaseRepresentation
bin111001010101000011…
…0111100000111010100
3102202202221212220222120
41302222012330013110
54004113413430400
6132320215255540
711615566326624
oct1625206740724
9382687786876
10123113030100
1148237106775
121ba3a37a5b0
13b7c0125208
145d5c972884
153308424ca0
hex1caa1bc1d4

123113030100 has 144 divisors (see below), whose sum is σ = 368847433920. Its totient is φ = 31667328000.

The previous prime is 123113030087. The next prime is 123113030101. The reversal of 123113030100 is 1030311321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123113030100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113030101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9763800 + ... + 9776400.

Almost surely, 2123113030100 is an apocalyptic number.

123113030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123113030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184423716960).

123113030100 is an abundant number, since it is smaller than the sum of its proper divisors (245734403820).

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

123113030100 is a wasteful number, since it uses less digits than its factorization.

123113030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13770 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 123113030100 its reverse (1030311321), we get a palindrome (124143341421).

The spelling of 123113030100 in words is "one hundred twenty-three billion, one hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1123 1450 1740 2175 2246 2900 3369 4350 4492 5615 6738 8700 11230 12601 13476 16845 22460 25202 28075 32567 33690 37803 50404 56150 63005 65134 67380 75606 84225 97701 112300 126010 130268 151212 162835 168450 189015 195402 252020 315025 325670 336900 365429 378030 390804 488505 630050 651340 730858 756060 814175 945075 977010 1096287 1260100 1461716 1628350 1827145 1890150 1954020 2192574 2442525 3256700 3654290 3780300 4385148 4885050 5481435 7308580 9135725 9770100 10962870 14150923 18271450 21925740 27407175 28301846 36542900 42452769 54814350 56603692 70754615 84905538 109628700 141509230 169811076 212263845 283018460 353773075 410376767 424527690 707546150 820753534 849055380 1061319225 1231130301 1415092300 1641507068 2051883835 2122638450 2462260602 4103767670 4245276900 4924521204 6155651505 8207535340 10259419175 12311303010 20518838350 24622606020 30778257525 41037676700 61556515050 123113030100