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10032020200 = 235253946417
BaseRepresentation
bin10010101011111010…
…00111101011101000
3221220011000102120201
421111331013223220
5131021144121300
64335245001544
7503413523206
oct112575075350
927804012521
1010032020200
1142888a5294
121b3b8532b4
13c3b51bb37
146b24da076
153daad566a
hex255f47ae8

10032020200 has 48 divisors (see below), whose sum is σ = 23764555980. Its totient is φ = 3937090560.

The previous prime is 10032020171. The next prime is 10032020203. The reversal of 10032020200 is 202023001.

It can be written as a sum of positive squares in 6 ways, for example, as 1516790916 + 8515229284 = 38946^2 + 92278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10032020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462609 + ... + 483808.

Almost surely, 210032020200 is an apocalyptic number.

10032020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032020200 is an abundant number, since it is smaller than the sum of its proper divisors (13732535780).

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

10032020200 is a wasteful number, since it uses less digits than its factorization.

10032020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946486 (or 946477 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10032020200 its reverse (202023001), we get a palindrome (10234043201).

The spelling of 10032020200 in words is "ten billion, thirty-two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 946417 1892834 3785668 4732085 7571336 9464170 18928340 23660425 37856680 47320850 50160101 94641700 100320202 189283400 200640404 250800505 401280808 501601010 1003202020 1254002525 2006404040 2508005050 5016010100 10032020200