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231253242352132 = 227112135250505003
BaseRepresentation
bin110100100101001011010111…
…010111010001001000000100
31010022210121001001220122121211
4310211023113113101020010
5220302323120020232012
62135500134541421204
766465331632155350
oct6445132727211004
91108717031818554
10231253242352132
1167758a49603700
1221b2a516b6a804
139c061197026b0
144116a066ba460
151bb0662db06a7
hexd252d75d1204

231253242352132 has 72 divisors (see below), whose sum is σ = 547480657777088. Its totient is φ = 83167999231680.

The previous prime is 231253242352117. The next prime is 231253242352141.

231253242352132 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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, 2625208458 + ... + 2625296545.

Almost surely, 2231253242352132 is an apocalyptic number.

231253242352132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231253242352132 is an abundant number, since it is smaller than the sum of its proper divisors (316227415424956).

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

231253242352132 is a wasteful number, since it uses less digits than its factorization.

231253242352132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250505049 (or 5250505036 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 231253242352132 in words is "two hundred thirty-one trillion, two hundred fifty-three billion, two hundred forty-two million, three hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 1001 1573 1694 2002 3146 3388 4004 6292 11011 22022 44044 5250505003 10501010006 21002020012 36753535021 57755555033 68256565039 73507070042 115511110066 136513130078 147014140084 231022220132 273026260156 404288885231 477795955273 635311105363 750822215429 808577770462 955591910546 1270622210726 1501644430858 1617155540924 1911183821092 2541244421452 3003288861716 4447177737541 5255755508003 8259044369719 8894355475082 10511511016006 16518088739438 17788710950164 21023022032012 33036177478876 57813310588033 115626621176066 231253242352132