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101000021321331 = 32112337587468841
BaseRepresentation
bin10110111101101111100110…
…011001001010011001110011
3111020121111201010212012010200
4112331233212121022121303
5101214241020424240311
6554450434054130243
730163003453132506
oct2675574631123163
9436544633765120
10101000021321331
112a1aa960a75100
12b3b2592950983
134448351968452
141ad25da00913d
15ba2397d48556
hex5bdbe664a673

101000021321331 has 72 divisors (see below), whose sum is σ = 161107415060592. Its totient is φ = 60926395622400.

The previous prime is 101000021321327. The next prime is 101000021321363. The reversal of 101000021321331 is 133123120000101.

101000021321331 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 0 + 0 + 2 + 1 + 321 + 331 = 666.

It is not a de Polignac number, because 101000021321331 - 22 = 101000021321327 is a prime.

It is a super-2 number, since 2×1010000213213312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101000021326331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 215190471 + ... + 215659311.

Almost surely, 2101000021321331 is an apocalyptic number.

101000021321331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101000021321331 is a deficient number, since it is larger than the sum of its proper divisors (60107393739261).

101000021321331 is a wasteful number, since it uses less digits than its factorization.

101000021321331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469793 (or 469779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101000021321331 its reverse (133123120000101), we get a palindrome (234123141321432).

The spelling of 101000021321331 in words is "one hundred one trillion, twenty-one million, three hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 337 363 587 1011 1089 1761 3033 3707 5283 6457 11121 19371 33363 40777 58113 71027 122331 197819 213081 366993 468841 593457 639243 1406523 1780371 2176009 4219569 5157251 6528027 15471753 19584081 23936099 46415259 56729761 71808297 157999417 170189283 215424891 275209667 473998251 510567849 825629001 1421994753 1737993587 2476887003 3027306337 5213980761 9081919011 15641942283 19117929457 27245757033 33300369707 57353788371 92745657779 99901109121 172061365113 278236973337 299703327363 834710920011 1020202235569 3060606706707 9181820120121 11222224591259 33666673773777 101000021321331