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13141233120420 = 22325312355059699
BaseRepresentation
bin1011111100111010111010…
…0010000011010010100100
31201112021211010112102020100
42333032232202003102210
53210301221134323140
643540555452304100
72524265002332066
oct277165642032244
951467733472210
1013141233120420
114207190561519
121582a38472030
1374429cb69c62
14336079325736
1517bc78787530
hexbf3ae8834a4

13141233120420 has 72 divisors (see below), whose sum is σ = 41147603078400. Its totient is φ = 3391285965120.

The previous prime is 13141233120413. The next prime is 13141233120511. The reversal of 13141233120420 is 2402133214131.

13141233120420 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 233 + 1 + 2 + 0 + 420 = 666.

13141233120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1177524270 + ... + 1177535429.

It is an arithmetic number, because the mean of its divisors is an integer number (571494487200).

Almost surely, 213141233120420 is an apocalyptic number.

13141233120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141233120420 is an abundant number, since it is smaller than the sum of its proper divisors (28006369957980).

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

13141233120420 is a wasteful number, since it uses less digits than its factorization.

13141233120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355059745 (or 2355059740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13141233120420 its reverse (2402133214131), we get a palindrome (15543366334551).

The spelling of 13141233120420 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty-three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2355059699 4710119398 7065179097 9420238796 11775298495 14130358194 21195537291 23550596990 28260716388 35325895485 42391074582 47101193980 70651790970 73006850669 84782149164 105977686455 141303581940 146013701338 211955372910 219020552007 292027402676 365034253345 423910745820 438041104014 657061656021 730068506690 876082208028 1095102760035 1314123312042 1460137013380 2190205520070 2628246624084 3285308280105 4380411040140 6570616560210 13141233120420