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103216445560 = 23531661125929
BaseRepresentation
bin110000000100000101…
…1011111100001111000
3100212102022221201002001
41200020023133201320
53142341402224220
6115230022350344
710312541211544
oct1401013374170
9325368851061
10103216445560
113a856aa1278
1218006b8b3b4
13996bcb8877
144dd22caa24
152a417d580a
hex18082df878

103216445560 has 64 divisors (see below), whose sum is σ = 240093100800. Its totient is φ = 39893990400.

The previous prime is 103216445551. The next prime is 103216445573. The reversal of 103216445560 is 65544612301.

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, 756676 + ... + 882604.

It is an arithmetic number, because the mean of its divisors is an integer number (3751454700).

Almost surely, 2103216445560 is an apocalyptic number.

103216445560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103216445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120046550400).

103216445560 is an abundant number, since it is smaller than the sum of its proper divisors (136876655240).

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

103216445560 is a wasteful number, since it uses less digits than its factorization.

103216445560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126632 (or 126628 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 103216445560 in words is "one hundred three billion, two hundred sixteen million, four hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 661 1240 1322 2644 3305 5288 6610 13220 20491 26440 40982 81964 102455 125929 163928 204910 251858 409820 503716 629645 819640 1007432 1259290 2518580 3903799 5037160 7807598 15615196 19518995 31230392 39037990 78075980 83239069 156151960 166478138 332956276 416195345 665912552 832390690 1664781380 2580411139 3329562760 5160822278 10321644556 12902055695 20643289112 25804111390 51608222780 103216445560