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102200520700 = 22522349190499
BaseRepresentation
bin101111100101110100…
…0000010111111111100
3100202210112022101011101
41133023220002333330
53133301313130300
6114541131502444
710245424043515
oct1371350027774
9322715271141
10102200520700
113a385590953
12179828b7a24
1398396940b5
144d373d5a0c
1529d250ab6a
hex17cba02ffc

102200520700 has 72 divisors (see below), whose sum is σ = 231891408000. Its totient is φ = 39022737600.

The previous prime is 102200520691. The next prime is 102200520701. The reversal of 102200520700 is 7025002201.

It is a super-2 number, since 2×1022005207002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200520701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084051 + ... + 1174549.

It is an arithmetic number, because the mean of its divisors is an integer number (3220714000).

Almost surely, 2102200520700 is an apocalyptic number.

102200520700 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 102200520700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115945704000).

102200520700 is an abundant number, since it is smaller than the sum of its proper divisors (129690887300).

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

102200520700 is a wasteful number, since it uses less digits than its factorization.

102200520700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91027 (or 91020 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

Adding to 102200520700 its reverse (7025002201), we get a palindrome (109225522901).

The spelling of 102200520700 in words is "one hundred two billion, two hundred million, five hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 491 575 982 1150 1964 2300 2455 4910 9820 11293 12275 22586 24550 45172 49100 56465 90499 112930 180998 225860 282325 361996 452495 564650 904990 1129300 1809980 2081477 2262475 4162954 4524950 8325908 9049900 10407385 20814770 41629540 44435009 52036925 88870018 104073850 177740036 208147700 222175045 444350090 888700180 1022005207 1110875225 2044010414 2221750450 4088020828 4443500900 5110026035 10220052070 20440104140 25550130175 51100260350 102200520700