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13220201320100 = 22523116072653753
BaseRepresentation
bin1100000001100001000101…
…1001110100111010100100
31201210211122120010121021122
43000120101121310322210
53213044433014220400
644041135431033112
72533061625055355
oct300302131647244
951724576117248
1013220201320100
114237723aa4765
1215961b680b798
1374b8762ac328
14339c0b035d2c
1517dd4b392685
hexc0611674ea4

13220201320100 has 72 divisors (see below), whose sum is σ = 29631689783808. Its totient is φ = 5114310854400.

The previous prime is 13220201320093. The next prime is 13220201320201. The reversal of 13220201320100 is 102310202231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654824 + ... + 6308576.

Almost surely, 213220201320100 is an apocalyptic number.

13220201320100 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 13220201320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815844891904).

13220201320100 is an abundant number, since it is smaller than the sum of its proper divisors (16411488463708).

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

13220201320100 is a wasteful number, since it uses less digits than its factorization.

13220201320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655405 (or 2655398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13220201320100 its reverse (102310202231), we get a palindrome (13322511522331).

The spelling of 13220201320100 in words is "thirteen trillion, two hundred twenty billion, two hundred one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1607 3100 3214 6428 8035 16070 32140 40175 49817 80350 99634 160700 199268 249085 498170 996340 1245425 2490850 2653753 4981700 5307506 10615012 13268765 26537530 53075060 66343825 82266343 132687650 164532686 265375300 329065372 411331715 822663430 1645326860 2056658575 4113317150 4264581071 8226634300 8529162142 17058324284 21322905355 42645810710 85291621420 106614526775 132202013201 213229053550 264404026402 426458107100 528808052804 661010066005 1322020132010 2644040264020 3305050330025 6610100660050 13220201320100