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123132001100100 = 223522881314244959
BaseRepresentation
bin11011111111110011100111…
…001011111010000101000100
3121010222022012212101222021220
4123333303213023322011010
5112114343314240200400
61113514021014040340
734635664526241546
oct3377634713720504
9533868185358256
10123132001100100
1136262a96638153
12119879820490b0
1353923b45a23a5
1422598990d5696
15e37e2c73b7a0
hex6ffce72fa144

123132001100100 has 72 divisors (see below), whose sum is σ = 356274312817920. Its totient is φ = 32834058391680.

The previous prime is 123132001100089. The next prime is 123132001100113. The reversal of 123132001100100 is 1001100231321.

It is a happy number.

It is a super-2 number, since 2×1231320011001002 (a number of 29 digits) contains 22 as substring.

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 123132001100100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1521421 + ... + 15766379.

Almost surely, 2123132001100100 is an apocalyptic number.

123132001100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123132001100100 is an abundant number, since it is smaller than the sum of its proper divisors (233142311717820).

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

123132001100100 is a wasteful number, since it uses less digits than its factorization.

123132001100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14273789 (or 14273782 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123132001100100 its reverse (1001100231321), we get a palindrome (124133101331421).

The spelling of 123132001100100 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, one million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 28813 57626 86439 115252 144065 172878 288130 345756 432195 576260 720325 864390 1440650 1728780 2160975 2881300 4321950 8643900 14244959 28489918 42734877 56979836 71224795 85469754 142449590 170939508 213674385 284899180 356123975 427348770 712247950 854697540 1068371925 1424495900 2136743850 4273487700 410440003667 820880007334 1231320011001 1641760014668 2052200018335 2462640022002 4104400036670 4925280044004 6156600055005 8208800073340 10261000091675 12313200110010 20522000183350 24626400220020 30783000275025 41044000366700 61566000550050 123132001100100