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21031123132100 = 22523715493366881
BaseRepresentation
bin1001100100000101100001…
…00111111001111011000100
32202110120000010112212010002
410302002300213321323010
510224033220010211400
6112421321541220432
74300306560025244
oct462026047717304
982416003485102
1021031123132100
116779281800804
122437b80701718
13b972c3534273
14529ca9d4db24
15267103b2aed5
hex1320b09f9ec4

21031123132100 has 72 divisors (see below), whose sum is σ = 46874137212168. Its totient is φ = 8184535142400.

The previous prime is 21031123132093. The next prime is 21031123132189. The reversal of 21031123132100 is 123132113012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8457673771264 + 12573449360836 = 2908208^2 + 3545906^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 57140660 + ... + 57507540.

Almost surely, 221031123132100 is an apocalyptic number.

21031123132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21031123132100 is an abundant number, since it is smaller than the sum of its proper divisors (25843014080068).

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

21031123132100 is a wasteful number, since it uses less digits than its factorization.

21031123132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382425 (or 382418 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21031123132100 its reverse (123132113012), we get a palindrome (21154255245112).

The spelling of 21031123132100 in words is "twenty-one trillion, thirty-one billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 15493 30986 61972 77465 154930 309860 366881 387325 573241 733762 774650 1146482 1467524 1549300 1834405 2292964 2866205 3668810 5732410 7337620 9172025 11464820 13574597 14331025 18344050 27149194 28662050 36688100 54298388 57324100 67872985 135745970 271491940 339364925 678729850 1357459700 5684087333 11368174666 22736349332 28420436665 56840873330 113681746660 142102183325 210311231321 284204366650 420622462642 568408733300 841244925284 1051556156605 2103112313210 4206224626420 5257780783025 10515561566050 21031123132100