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100122012300 = 22352418140001
BaseRepresentation
bin101110100111110111…
…1001010101010001100
3100120102200020012122210
41131033233022222030
53120022213343200
6113555002110420
710143055030332
oct1351757125214
9316380205583
10100122012300
11395092a1812
12174a27ab410
139597b8c57b
144bbb341b52
15290ecdb650
hex174fbcaa8c

100122012300 has 72 divisors (see below), whose sum is σ = 296751912912. Its totient is φ = 26048000000.

The previous prime is 100122012269. The next prime is 100122012301. The reversal of 100122012300 is 3210221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100122012301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4057701 + ... + 4082300.

It is an arithmetic number, because the mean of its divisors is an integer number (4121554346).

Almost surely, 2100122012300 is an apocalyptic number.

100122012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122012300 is an abundant number, since it is smaller than the sum of its proper divisors (196629900612).

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

100122012300 is a wasteful number, since it uses less digits than its factorization.

100122012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140059 (or 8140052 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100122012300 its reverse (3210221001), we get a palindrome (103332233301).

The spelling of 100122012300 in words is "one hundred billion, one hundred twenty-two million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 8140001 16280002 24420003 32560004 40700005 48840006 81400010 97680012 122100015 162800020 203500025 244200030 333740041 407000050 488400060 610500075 667480082 814000100 1001220123 1221000150 1334960164 1668700205 2002440246 2442000300 3337400410 4004880492 5006100615 6674800820 8343501025 10012201230 16687002050 20024402460 25030503075 33374004100 50061006150 100122012300