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102010332200200 = 23522691896102829
BaseRepresentation
bin10111001100011100100001…
…100111010011110100001000
3111101012002111110000112101021
4113030130201213103310020
5101332314130020401300
61000542522154402224
730326001061663054
oct2714344147236410
9441162443015337
10102010332200200
112a55a380139996
12b536351a30374
1344bc6c115ab38
141b2947d9bac64
15bbd7c98c9d1a
hex5cc7219d3d08

102010332200200 has 48 divisors (see below), whose sum is σ = 238055710306500. Its totient is φ = 40652444632320.

The previous prime is 102010332200197. The next prime is 102010332200323. The reversal of 102010332200200 is 2002233010201.

It can be written as a sum of positive squares in 6 ways, for example, as 19348086633316 + 82662245566884 = 4398646^2 + 9091878^2 .

It is a super-2 number, since 2×1020103322002002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 947997615 + ... + 948105214.

Almost surely, 2102010332200200 is an apocalyptic number.

102010332200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010332200200 is an abundant number, since it is smaller than the sum of its proper divisors (136045378106300).

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

102010332200200 is a wasteful number, since it uses less digits than its factorization.

102010332200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896103114 (or 1896103105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102010332200200 its reverse (2002233010201), we get a palindrome (104012565210401).

The spelling of 102010332200200 in words is "one hundred two trillion, ten billion, three hundred thirty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6725 10760 13450 26900 53800 1896102829 3792205658 7584411316 9480514145 15168822632 18961028290 37922056580 47402570725 75844113160 94805141450 189610282900 379220565800 510051661001 1020103322002 2040206644004 2550258305005 4080413288008 5100516610010 10201033220020 12751291525025 20402066440040 25502583050050 51005166100100 102010332200200