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100232023100 = 225211472119301
BaseRepresentation
bin101110101011001001…
…0110100110000111100
3100120201100020100002212
41131112102310300330
53120233344214400
6114013532035552
710145562065456
oct1352622646074
9316640210085
10100232023100
1139565400530
1217513602bb8
1395b48c9811
144bcbbbb2d6
1529197bc335
hex17564b4c3c

100232023100 has 72 divisors (see below), whose sum is σ = 237339090576. Its totient is φ = 36438400000.

The previous prime is 100232023097. The next prime is 100232023109. The reversal of 100232023100 is 1320232001.

It is a happy number.

It is a super-2 number, since 2×1002320231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232023109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5183450 + ... + 5202750.

It is an arithmetic number, because the mean of its divisors is an integer number (3296376258).

Almost surely, 2100232023100 is an apocalyptic number.

100232023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232023100 is an abundant number, since it is smaller than the sum of its proper divisors (137107067476).

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

100232023100 is a wasteful number, since it uses less digits than its factorization.

100232023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24047 (or 24040 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100232023100 its reverse (1320232001), we get a palindrome (101552255101).

The spelling of 100232023100 in words is "one hundred billion, two hundred thirty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 4721 9442 18884 19301 23605 38602 47210 51931 77204 94420 96505 103862 118025 193010 207724 212311 236050 259655 386020 424622 472100 482525 519310 849244 965050 1038620 1061555 1298275 1930100 2123110 2596550 4246220 5193100 5307775 10615550 21231100 91120021 182240042 364480084 455600105 911200210 1002320231 1822400420 2004640462 2278000525 4009280924 4556001050 5011601155 9112002100 10023202310 20046404620 25058005775 50116011550 100232023100