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141131611230 = 235231877108971
BaseRepresentation
bin1000001101110000011…
…0010111110001011110
3111111021201000200112020
42003130012113301132
54303014143024410
6144500204121010
713124241621261
oct2033406276136
9444251020466
10141131611230
115494312a435
1223428836166
131040216013c
146b8ba38cd8
153a1024da70
hex20dc197c5e

141131611230 has 64 divisors (see below), whose sum is σ = 353634190848. Its totient is φ = 35979278720.

The previous prime is 141131611193. The next prime is 141131611267. The reversal of 141131611230 is 32116131141.

141131611230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141131611193) and next prime (141131611267).

It is a super-2 number, since 2×1411316112302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141131611230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240645 + ... + 1349615.

It is an arithmetic number, because the mean of its divisors is an integer number (5525534232).

Almost surely, 2141131611230 is an apocalyptic number.

141131611230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141131611230 is an abundant number, since it is smaller than the sum of its proper divisors (212502579618).

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

141131611230 is a wasteful number, since it uses less digits than its factorization.

141131611230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110881.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 141131611230 its reverse (32116131141), we get a palindrome (173247742371).

The spelling of 141131611230 in words is "one hundred forty-one billion, one hundred thirty-one million, six hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1877 3754 5631 9385 11262 18770 28155 43171 56310 86342 108971 129513 215855 217942 259026 326913 431710 544855 647565 653826 1089710 1295130 1634565 2506333 3269130 5012666 7518999 12531665 15037998 25063330 37594995 75189990 204538567 409077134 613615701 1022692835 1227231402 2045385670 3068078505 4704387041 6136157010 9408774082 14113161123 23521935205 28226322246 47043870410 70565805615 141131611230