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131101000244130 = 23571314765576163
BaseRepresentation
bin11101110011110001010100…
…100011001001101110100010
3122012012010121010012201111110
4131303301110203021232202
5114140424322030303010
61142454545034124150
736420510000314610
oct3563612443115642
9565163533181443
10131101000244130
1138855692929464
1212854303880656
13581ca04654797
1424534724386b0
151025387c78120
hex773c548c9ba2

131101000244130 has 64 divisors (see below), whose sum is σ = 362336286901248. Its totient is φ = 29737195250880.

The previous prime is 131101000244129. The next prime is 131101000244213. The reversal of 131101000244130 is 31442000101131.

131101000244130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311010002441302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131101000244097 and 131101000244106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2382760572 + ... + 2382815591.

It is an arithmetic number, because the mean of its divisors is an integer number (5661504482832).

Almost surely, 2131101000244130 is an apocalyptic number.

131101000244130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131101000244130 is an abundant number, since it is smaller than the sum of its proper divisors (231235286657118).

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

131101000244130 is a wasteful number, since it uses less digits than its factorization.

131101000244130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765576311.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131101000244130 its reverse (31442000101131), we get a palindrome (162543000345261).

The spelling of 131101000244130 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 131 210 262 393 655 786 917 1310 1834 1965 2751 3930 4585 5502 9170 13755 27510 4765576163 9531152326 14296728489 23827880815 28593456978 33359033141 47655761630 66718066282 71483642445 100077099423 142967284890 166795165705 200154198846 333590331410 500385497115 624290477353 1000770994230 1248580954706 1872871432059 3121452386765 3745742864118 4370033341471 6242904773530 8740066682942 9364357160295 13110100024413 18728714320590 21850166707355 26220200048826 43700333414710 65550500122065 131101000244130