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101331131132 = 227211192473663
BaseRepresentation
bin101111001011111001…
…1100101101011111100
3100200112221101210212202
41132113303211223330
53130011232144012
6114314553451032
710215036255200
oct1362763455374
9320487353782
10101331131132
1139a79866680
121777b710a78
13972b5274ba
144c93b66b00
152981028cc2
hex1797ce5afc

101331131132 has 72 divisors (see below), whose sum is σ = 236878064640. Its totient is φ = 37401769440.

The previous prime is 101331131131. The next prime is 101331131147. The reversal of 101331131132 is 231131133101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331131131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195868 + ... + 1277795.

It is an arithmetic number, because the mean of its divisors is an integer number (3289973120).

Almost surely, 2101331131132 is an apocalyptic number.

It is an amenable number.

101331131132 is an abundant number, since it is smaller than the sum of its proper divisors (135546933508).

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

101331131132 is a wasteful number, since it uses less digits than its factorization.

101331131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473711 (or 2473702 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101331131132 its reverse (231131133101), we get a palindrome (332462264233).

The spelling of 101331131132 in words is "one hundred one billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 418 532 539 836 931 1078 1463 1862 2156 2926 3724 5852 10241 20482 40964 2473663 4947326 9894652 17315641 27210293 34631282 46999597 54420586 69262564 93999194 108841172 121209487 187998388 190472051 242418974 328997179 380944102 484837948 516995567 657994358 761888204 1033991134 1315988716 1333304357 2067982268 2302980253 2666608714 3618968969 4605960506 5333217428 7237937938 9211921012 14475875876 25332782783 50665565566 101331131132