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100533328112 = 24737181134033
BaseRepresentation
bin101110110100001000…
…0001101100011110000
3100121111100012012212202
41131220100031203300
53121343012444422
6114103454042332
710156211121650
oct1355020154360
9317440165782
10100533328112
11396aa496438
12175984a93a8
1396321635c9
144c19c10360
152935e87b92
hex176840d8f0

100533328112 has 80 divisors (see below), whose sum is σ = 229890827712. Its totient is φ = 41689313280.

The previous prime is 100533328069. The next prime is 100533328121. The reversal of 100533328112 is 211823335001.

It is a super-2 number, since 2×1005333281122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683048 + ... + 817080.

Almost surely, 2100533328112 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 100533328112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114945413856).

100533328112 is an abundant number, since it is smaller than the sum of its proper divisors (129357499600).

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

100533328112 is a wasteful number, since it uses less digits than its factorization.

100533328112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134266 (or 134260 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 100533328112 in words is "one hundred billion, five hundred thirty-three million, three hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 181 259 296 362 518 592 724 1036 1267 1448 2072 2534 2896 4144 5068 6697 10136 13394 20272 26788 46879 53576 93758 107152 134033 187516 268066 375032 536132 750064 938231 1072264 1876462 2144528 3752924 4959221 7505848 9918442 15011696 19836884 24259973 34714547 39673768 48519946 69429094 79347536 97039892 138858188 169819811 194079784 277716376 339639622 388159568 555432752 679279244 897619001 1358558488 1795238002 2717116976 3590476004 6283333007 7180952008 12566666014 14361904016 25133332028 50266664056 100533328112