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101131330212 = 2232111132260019
BaseRepresentation
bin101111000101111100…
…1011010001010100100
3100200001000102212112200
41132023321122022210
53124104110031322
6114243055214500
710210062060213
oct1361371321244
9320030385480
10101131330212
1139986aaa250
1217724817430
1396c900c9c3
144c753d707a
15296d70d8ac
hex178be5a2a4

101131330212 has 72 divisors (see below), whose sum is σ = 281345369760. Its totient is φ = 30374641920.

The previous prime is 101131330193. The next prime is 101131330219. The reversal of 101131330212 is 212033131101.

101131330212 is a `hidden beast` number, since 10 + 113 + 1 + 330 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101131330219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1085262 + ... + 1174757.

It is an arithmetic number, because the mean of its divisors is an integer number (3907574580).

Almost surely, 2101131330212 is an apocalyptic number.

101131330212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101131330212 is an abundant number, since it is smaller than the sum of its proper divisors (180214039548).

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

101131330212 is a wasteful number, since it uses less digits than its factorization.

101131330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260153 (or 2260148 counting only the distinct ones).

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

Adding to 101131330212 its reverse (212033131101), we get a palindrome (313164461313).

The spelling of 101131330212 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 3729 4068 4972 7458 11187 14916 22374 44748 2260019 4520038 6780057 9040076 13560114 20340171 24860209 27120228 40680342 49720418 74580627 81360684 99440836 149161254 223741881 255382147 298322508 447483762 510764294 766146441 894967524 1021528588 1532292882 2298439323 2809203617 3064585764 4596878646 5618407234 8427610851 9193757292 11236814468 16855221702 25282832553 33710443404 50565665106 101131330212