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141112131210 = 23354329714091
BaseRepresentation
bin1000001101101011110…
…0000011111010001010
3111111020100100222222000
42003122330003322022
54302444201144320
6144454230411430
713123614216231
oct2033274037212
9444210328860
10141112131210
1154933134846
1223422200b76
13103cb0cc5bb
146b89207b18
153a0d6a1c90
hex20daf03e8a

141112131210 has 128 divisors (see below), whose sum is σ = 385273912320. Its totient is φ = 36733435200.

The previous prime is 141112131179. The next prime is 141112131229. The reversal of 141112131210 is 12131211141.

141112131210 is a `hidden beast` number, since 1 + 411 + 12 + 1 + 31 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34491265 + ... + 34495355.

It is an arithmetic number, because the mean of its divisors is an integer number (3009952440).

Almost surely, 2141112131210 is an apocalyptic number.

141112131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141112131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192636956160).

141112131210 is an abundant number, since it is smaller than the sum of its proper divisors (244161781110).

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

141112131210 is a wasteful number, since it uses less digits than its factorization.

141112131210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 141112131210 its reverse (12131211141), we get a palindrome (153243342351).

The spelling of 141112131210 in words is "one hundred forty-one billion, one hundred twelve million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 2971 3870 4091 5805 5942 8182 8913 11610 12273 14855 17826 20455 24546 26739 29710 36819 40910 44565 53478 61365 73638 80217 89130 110457 122730 127753 133695 160434 175913 184095 220914 255506 267390 351826 368190 383259 401085 527739 552285 638765 766518 802170 879565 1055478 1104570 1149777 1277530 1583217 1759130 1916295 2299554 2638695 3166434 3449331 3832590 4749651 5277390 5748885 6898662 7916085 9499302 11497770 12154361 15832170 17246655 23748255 24308722 34493310 36463083 47496510 60771805 72926166 109389249 121543610 182315415 218778498 328167747 364630830 522637523 546946245 656335494 1045275046 1093892490 1567912569 1640838735 2613187615 3135825138 3281677470 4703737707 5226375230 7839562845 9407475414 14111213121 15679125690 23518688535 28222426242 47037377070 70556065605 141112131210