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120130031021 = 711131723319901
BaseRepresentation
bin110111111100001001…
…1101100110110101101
3102111002001211212112012
41233320103230312231
53432011241443041
6131104215251005
711451635262410
oct1577023546655
9374061755465
10120130031021
1146a462a8380
121b347379a65
13b436113cc0
145b58713b77
1531d15dd3eb
hex1bf84ecdad

120130031021 has 128 divisors (see below), whose sum is σ = 183973773312. Its totient is φ = 75271680000.

The previous prime is 120130031017. The next prime is 120130031023.

120130031021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120130031021 - 22 = 120130031017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120130030987 and 120130031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130031023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12128171 + ... + 12138071.

It is an arithmetic number, because the mean of its divisors is an integer number (1437295104).

Almost surely, 2120130031021 is an apocalyptic number.

120130031021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120130031021 is a deficient number, since it is larger than the sum of its proper divisors (63843742291).

120130031021 is a wasteful number, since it uses less digits than its factorization.

120130031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10003.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 1201300 and 31021, that added together give a palindrome (1232321).

The spelling of 120130031021 in words is "one hundred twenty billion, one hundred thirty million, thirty-one thousand, twenty-one".

Divisors: 1 7 11 13 17 23 31 77 91 119 143 161 187 217 221 253 299 341 391 403 527 713 1001 1309 1547 1771 2093 2387 2431 2737 2821 3289 3689 4301 4433 4991 5083 5797 6851 7843 9269 9901 12121 17017 23023 30107 31031 35581 40579 47957 54901 55913 64883 69307 75361 84847 101959 108911 128713 133331 157573 168317 227723 306931 391391 527527 713713 762377 900991 933317 1103011 1178219 1415843 1594061 1733303 1851487 2148517 2188121 2504953 2960399 3376241 3871291 3990103 5217827 7059413 9910901 12133121 12960409 15316847 17534671 20722793 23633687 24069331 27099037 27930721 32564389 36524789 42584201 43891133 49415891 50326783 57396097 67831751 77653543 91772369 120010021 168485317 227950723 298089407 307237931 352287481 401772679 474822257 543574801 553594613 642406583 746149261 840070147 1009496059 1320110231 1560130273 3875162291 5223044827 7066472413 9240771617 10920911911 17161433003 120130031021