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10002021200 = 245225005053
BaseRepresentation
bin10010101000010101…
…01011101101010000
3221211001120022200122
421110022223231100
5130441004134300
64332254005412
7502600530443
oct112412535520
927731508618
1010002021200
114272975626
121b317a6868
13c35247452
146ac52b65a
153d815bc85
hex2542abb50

10002021200 has 30 divisors (see below), whose sum is σ = 24029856894. Its totient is φ = 4000808320.

The previous prime is 10002021181. The next prime is 10002021203. The reversal of 10002021200 is 212020001.

It can be written as a sum of positive squares in 3 ways, for example, as 66716224 + 9935304976 = 8168^2 + 99676^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002021203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12502127 + ... + 12502926.

Almost surely, 210002021200 is an apocalyptic number.

10002021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002021200 is an abundant number, since it is smaller than the sum of its proper divisors (14027835694).

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

10002021200 is a wasteful number, since it uses less digits than its factorization.

10002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25005071 (or 25005060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10002021200 its reverse (212020001), we get a palindrome (10214041201).

The spelling of 10002021200 in words is "ten billion, two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25005053 50010106 100020212 125025265 200040424 250050530 400080848 500101060 625126325 1000202120 1250252650 2000404240 2500505300 5001010600 10002021200