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106215513032 = 232331109170837
BaseRepresentation
bin110001011101011110…
…0000001101111001000
3101011011100020010020002
41202322330001233020
53220012132404112
6120443355022132
710450055651516
oct1427274015710
9334140203202
10106215513032
1141055985032
121870343a948
13a0294347c5
1451d872d4b6
152b69c431c2
hex18baf01bc8

106215513032 has 64 divisors (see below), whose sum is σ = 216485913600. Its totient is φ = 48708760320.

The previous prime is 106215512941. The next prime is 106215513037. The reversal of 106215513032 is 230315512601.

It is a super-2 number, since 2×1062155130322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106215512986 and 106215513004.

It is not an unprimeable number, because it can be changed into a prime (106215513037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536318 + ... + 707154.

It is an arithmetic number, because the mean of its divisors is an integer number (3382592400).

Almost surely, 2106215513032 is an apocalyptic number.

It is an amenable number.

106215513032 is an abundant number, since it is smaller than the sum of its proper divisors (110270400568).

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

106215513032 is a wasteful number, since it uses less digits than its factorization.

106215513032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171006 (or 171002 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 106215513032 in words is "one hundred six billion, two hundred fifteen million, five hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 23 31 46 62 92 109 124 184 218 248 436 713 872 1426 2507 2852 3379 5014 5704 6758 10028 13516 20056 27032 77717 155434 170837 310868 341674 621736 683348 1366696 3929251 5295947 7858502 10591894 15717004 18621233 21183788 31434008 37242466 42367576 74484932 121806781 148969864 243613562 428288359 487227124 577258223 856576718 974454248 1154516446 1713153436 2309032892 3426306872 4618065784 13276939129 26553878258 53107756516 106215513032