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103003859968 = 2105315112569
BaseRepresentation
bin101111111101110000…
…0100010110000000000
3100211212111221020110121
41133323200202300000
53141422442004333
6115152550110024
710304350235512
oct1377340426000
9324774836417
10103003859968
113a757aa25a9
1217b6794b314
139936c45b89
144db1d8dbb2
152a2cce232d
hex17fb822c00

103003859968 has 88 divisors (see below), whose sum is σ = 211198324320. Its totient is φ = 50191564800.

The previous prime is 103003859941. The next prime is 103003860007. The reversal of 103003859968 is 869958300301.

It is a super-2 number, since 2×1030038599682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8188788 + ... + 8201356.

Almost surely, 2103003859968 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 103003859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105599162160).

103003859968 is an abundant number, since it is smaller than the sum of its proper divisors (108194464352).

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

103003859968 is a wasteful number, since it uses less digits than its factorization.

103003859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 103003859968 in words is "one hundred three billion, three million, eight hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 151 212 256 302 424 512 604 848 1024 1208 1696 2416 3392 4832 6784 8003 9664 12569 13568 16006 19328 25138 27136 32012 38656 50276 54272 64024 77312 100552 128048 154624 201104 256096 402208 512192 666157 804416 1024384 1332314 1608832 1897919 2048768 2664628 3217664 3795838 4097536 5329256 6435328 7591676 8195072 10658512 12870656 15183352 21317024 30366704 42634048 60733408 85268096 100589707 121466816 170536192 201179414 242933632 341072384 402358828 485867264 682144768 804717656 971734528 1609435312 1943469056 3218870624 6437741248 12875482496 25750964992 51501929984 103003859968