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102113377300 = 225211773120091
BaseRepresentation
bin101111100011001101…
…1100111110000010100
3100202120110100000220001
41133012123213300110
53133112011033200
6114524340021044
710243315246234
oct1370633476024
9322513300801
10102113377300
113a340380810
1217959691784
13982460245c
144d299cdcc4
1529c9a4576a
hex17c66e7c14

102113377300 has 72 divisors (see below), whose sum is σ = 242044945632. Its totient is φ = 37083792000.

The previous prime is 102113377291. The next prime is 102113377313. The reversal of 102113377300 is 3773311201.

It is a super-2 number, since 2×1021133773002 (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 23 ways as a sum of consecutive naturals, for example, 790255 + ... + 910345.

It is an arithmetic number, because the mean of its divisors is an integer number (3361735356).

Almost surely, 2102113377300 is an apocalyptic number.

102113377300 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 102113377300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121022472816).

102113377300 is an abundant number, since it is smaller than the sum of its proper divisors (139931568332).

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

102113377300 is a wasteful number, since it uses less digits than its factorization.

102113377300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120889 (or 120882 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

Adding to 102113377300 its reverse (3773311201), we get a palindrome (105886688501).

The spelling of 102113377300 in words is "one hundred two billion, one hundred thirteen million, three hundred seventy-seven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 773 1100 1546 3092 3865 7730 8503 15460 17006 19325 34012 38650 42515 77300 85030 120091 170060 212575 240182 425150 480364 600455 850300 1200910 1321001 2401820 2642002 3002275 5284004 6004550 6605005 12009100 13210010 26420020 33025025 66050050 92830343 132100100 185660686 371321372 464151715 928303430 1021133773 1856606860 2042267546 2320758575 4084535092 4641517150 5105668865 9283034300 10211337730 20422675460 25528344325 51056688650 102113377300