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101313332124 = 2231731117113681
BaseRepresentation
bin101111001011010111…
…1101100001110011100
3100200111200220112020020
41132112233230032130
53124442203111444
6114313120152140
710214432054064
oct1362657541634
9320450815206
10101313332124
1139a6a809a54
1217775768650
139727934b44
144c916523a4
15297e6b0119
hex1796bec39c

101313332124 has 96 divisors (see below), whose sum is σ = 258617382912. Its totient is φ = 30730752000.

The previous prime is 101313332119. The next prime is 101313332137. The reversal of 101313332124 is 421233313101.

It is a junction number, because it is equal to n+sod(n) for n = 101313332094 and 101313332103.

It is a congruent number.

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, 7398564 + ... + 7412244.

It is an arithmetic number, because the mean of its divisors is an integer number (2693931072).

Almost surely, 2101313332124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101313332124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129308691456).

101313332124 is an abundant number, since it is smaller than the sum of its proper divisors (157304050788).

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

101313332124 is a wasteful number, since it uses less digits than its factorization.

101313332124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14907 (or 14905 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101313332124 its reverse (421233313101), we get a palindrome (522546645225).

The spelling of 101313332124 in words is "one hundred one billion, three hundred thirteen million, three hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1171 1581 2108 2342 3162 3513 4684 6324 7026 13681 14052 19907 27362 36301 39814 41043 54724 59721 72602 79628 82086 108903 119442 145204 164172 217806 232577 238884 424111 435612 465154 617117 697731 848222 930308 1234234 1272333 1395462 1696444 1851351 2468468 2544666 2790924 3702702 5089332 7209887 7405404 14419774 16020451 21629661 28839548 32040902 43259322 48061353 64081804 86518644 96122706 192245412 272347667 496633981 544695334 817043001 993267962 1089390668 1489901943 1634086002 1986535924 2979803886 3268172004 5959607772 8442777677 16885555354 25328333031 33771110708 50656666062 101313332124