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100122012200 = 23527584912227
BaseRepresentation
bin101110100111110111…
…1001010101000101000
3100120102200020012112002
41131033233022220220
53120022213342300
6113555002110132
710143055030130
oct1351757125050
9316380205462
10100122012200
11395092a1731
12174a27ab348
139597b8c502
144bbb341ac0
15290ecdb5d5
hex174fbcaa28

100122012200 has 96 divisors (see below), whose sum is σ = 266105736000. Its totient is φ = 34318871040.

The previous prime is 100122012187. The next prime is 100122012203. The reversal of 100122012200 is 2210221001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100122012203) 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, 8182487 + ... + 8194713.

It is an arithmetic number, because the mean of its divisors is an integer number (2771934750).

Almost surely, 2100122012200 is an apocalyptic number.

100122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122012200 is an abundant number, since it is smaller than the sum of its proper divisors (165983723800).

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

100122012200 is a wasteful number, since it uses less digits than its factorization.

100122012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18099 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100122012200 its reverse (2210221001), we get a palindrome (102332233201).

The spelling of 100122012200 in words is "one hundred billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 5849 11698 12227 23396 24454 29245 40943 46792 48908 58490 61135 81886 85589 97816 116980 122270 146225 163772 171178 204715 233960 244540 292450 305675 327544 342356 409430 427945 489080 584900 611350 684712 818860 855890 1023575 1169800 1222700 1637720 1711780 2047150 2139725 2445400 3423560 4094300 4279450 8188600 8558900 17117800 71515723 143031446 286062892 357578615 500610061 572125784 715157230 1001220122 1430314460 1787893075 2002440244 2503050305 2860628920 3575786150 4004880488 5006100610 7151572300 10012201220 12515251525 14303144600 20024402440 25030503050 50061006100 100122012200