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120231132021 = 327111364720627
BaseRepresentation
bin110111111111001010…
…1010111101101110101
3102111100010002100000200
41233332111113231311
53432213132211041
6131122230231113
711454303521460
oct1577625275565
9374303070020
10120231132021
1146a98381020
121b3751b5499
13b451051990
145b67d102d7
1531da40e1b6
hex1bfe557b75

120231132021 has 96 divisors (see below), whose sum is σ = 233547245568. Its totient is φ = 57561390720.

The previous prime is 120231132017. The next prime is 120231132037.

120231132021 is a `hidden beast` number, since 12 + 0 + 2 + 311 + 320 + 21 = 666.

120231132021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120231132021 - 22 = 120231132017 is a prime.

It is a super-2 number, since 2×1202311320212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120231131985 and 120231132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120231132011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5818510 + ... + 5839136.

It is an arithmetic number, because the mean of its divisors is an integer number (2432783808).

Almost surely, 2120231132021 is an apocalyptic number.

120231132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120231132021 is a deficient number, since it is larger than the sum of its proper divisors (113316113547).

120231132021 is a wasteful number, since it uses less digits than its factorization.

120231132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21311 (or 21308 counting only the distinct ones).

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

It can be divided in two parts, 120231 and 132021, that added together give a palindrome (252252).

The spelling of 120231132021 in words is "one hundred twenty billion, two hundred thirty-one million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 647 693 819 1001 1287 1941 3003 4529 5823 7117 8411 9009 13587 20627 21351 25233 40761 49819 58877 61881 64053 75699 92521 144389 149457 176631 185643 226897 268151 277563 433167 448371 529893 647647 680691 804453 832689 1299501 1588279 1877057 1942941 2042073 2413359 2949661 4764837 5631171 5828823 8848983 13345669 14294511 16893513 20647627 26546949 40037007 61942881 93419683 120111021 146802359 173493697 185828643 280259049 440407077 520481091 840777147 1027616513 1214455879 1321221231 1561443273 1908430667 3082849539 3643367637 5725292001 9248548617 10930102911 13359014669 17175876003 40077044007 120231132021