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10133212021020 = 22325115117783849
BaseRepresentation
bin1001001101110101001010…
…0000001100000100011100
31022212201120222011001221200
42103131102200030010130
52312010304234133040
633315044444555500
72064046304006364
oct223352240140434
938781528131850
1010133212021020
113257520017080
121177a74252b90
1358673361a2ba
142706430319a4
151288c4c7b630
hex9375280c11c

10133212021020 has 72 divisors (see below), whose sum is σ = 33531719785200. Its totient is φ = 2456536247040.

The previous prime is 10133212021007. The next prime is 10133212021039. The reversal of 10133212021020 is 2012021233101.

10133212021020 is a `hidden beast` number, since 1 + 0 + 1 + 332 + 120 + 210 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10133212020984 and 10133212021002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2558889945 + ... + 2558893904.

It is an arithmetic number, because the mean of its divisors is an integer number (465718330350).

Almost surely, 210133212021020 is an apocalyptic number.

10133212021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133212021020 is an abundant number, since it is smaller than the sum of its proper divisors (23398507764180).

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

10133212021020 is a wasteful number, since it uses less digits than its factorization.

10133212021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117783875 (or 5117783870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10133212021020 its reverse (2012021233101), we get a palindrome (12145233254121).

The spelling of 10133212021020 in words is "ten trillion, one hundred thirty-three billion, two hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5117783849 10235567698 15353351547 20471135396 25588919245 30706703094 46060054641 51177838490 56295622339 61413406188 76766757735 92120109282 102355676980 112591244678 153533515470 168886867017 184240218564 225182489356 230300273205 281478111695 307067030940 337773734034 460600546410 506660601051 562956223390 675547468068 844434335085 921201092820 1013321202102 1125912446780 1688868670170 2026642404204 2533303005255 3377737340340 5066606010510 10133212021020