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10100021200 = 245259427967
BaseRepresentation
bin10010110100000001…
…00001011111010000
3222001212222020102021
421122000201133100
5131141101134300
64350114301224
7505200522643
oct113200413720
928055866367
1010100021200
114313220465
121b5a587814
13c4c63a809
146bb55ba5a
153e1a68d1a
hex25a0217d0

10100021200 has 60 divisors (see below), whose sum is σ = 24676634880. Its totient is φ = 3971524480.

The previous prime is 10100021177. The next prime is 10100021201. The reversal of 10100021200 is 212000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100021201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190384 + ... + 237583.

It is an arithmetic number, because the mean of its divisors is an integer number (411277248).

Almost surely, 210100021200 is an apocalyptic number.

10100021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100021200 is an abundant number, since it is smaller than the sum of its proper divisors (14576613680).

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

10100021200 is a wasteful number, since it uses less digits than its factorization.

10100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428044 (or 428033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100021200 its reverse (212000101), we get a palindrome (10312021301).

The spelling of 10100021200 in words is "ten billion, one hundred million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2360 2950 4720 5900 11800 23600 427967 855934 1711868 2139835 3423736 4279670 6847472 8559340 10699175 17118680 21398350 25250053 34237360 42796700 50500106 85593400 101000212 126250265 171186800 202000424 252500530 404000848 505001060 631251325 1010002120 1262502650 2020004240 2525005300 5050010600 10100021200