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101311020312030 = 232510111145326767
BaseRepresentation
bin10111000010010001001111…
…011000001010010111011110
3111021201020110012022211121200
4113002101033120022113132
5101234334432144441110
6555245350141540330
730224323346005344
oct2702211730122736
9437636405284550
10101311020312030
112a30a84287a961
12b4429078746a6
13446b78542a179
141b0369dc37994
15baa4eae476c0
hex5c244f60a5de

101311020312030 has 48 divisors (see below), whose sum is σ = 266016659298624. Its totient is φ = 26748784238400.

The previous prime is 101311020312023. The next prime is 101311020312109. The reversal of 101311020312030 is 30213020113101.

101311020312030 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 0 + 203 + 120 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101311020311994 and 101311020312012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5572654294 + ... + 5572672473.

It is an arithmetic number, because the mean of its divisors is an integer number (5542013735388).

Almost surely, 2101311020312030 is an apocalyptic number.

101311020312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101311020312030 is an abundant number, since it is smaller than the sum of its proper divisors (164705638986594).

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

101311020312030 is a wasteful number, since it uses less digits than its factorization.

101311020312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145326881 (or 11145326878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101311020312030 its reverse (30213020113101), we get a palindrome (131524040425131).

The spelling of 101311020312030 in words is "one hundred one trillion, three hundred eleven billion, twenty million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 11145326767 22290653534 33435980301 55726633835 66871960602 100307940903 111453267670 167179901505 200615881806 334359803010 501539704515 1003079409030 1125678003467 2251356006934 3377034010401 5628390017335 6754068020802 10131102031203 11256780034670 16885170052005 20262204062406 33770340104010 50655510156015 101311020312030