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10020102200 = 2352197137139
BaseRepresentation
bin10010101010011111…
…01010000000111000
3221212022120221011022
421111033222000320
5131010121232300
64334141322012
7503210314643
oct112517520070
927768527138
1010020102200
1142820a50a9
121b37866308
13c38c08274
146b0ab6a5a
153d9a2e285
hex2553ea038

10020102200 has 96 divisors (see below), whose sum is σ = 24868944000. Its totient is φ = 3743510400.

The previous prime is 10020102179. The next prime is 10020102203. The reversal of 10020102200 is 220102001.

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 (10020102203) 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, 251231 + ... + 288369.

It is an arithmetic number, because the mean of its divisors is an integer number (259051500).

Almost surely, 210020102200 is an apocalyptic number.

10020102200 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 10020102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434472000).

10020102200 is an abundant number, since it is smaller than the sum of its proper divisors (14848841800).

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

10020102200 is a wasteful number, since it uses less digits than its factorization.

10020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37245 (or 37236 counting only the distinct ones).

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

Adding to 10020102200 its reverse (220102001), we get a palindrome (10240204201).

The spelling of 10020102200 in words is "ten billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 71 76 95 100 142 152 190 200 284 355 380 475 568 710 760 950 1349 1420 1775 1900 2698 2840 3550 3800 5396 6745 7100 10792 13490 14200 26980 33725 37139 53960 67450 74278 134900 148556 185695 269800 297112 371390 705641 742780 928475 1411282 1485560 1856950 2636869 2822564 3528205 3713900 5273738 5645128 7056410 7427800 10547476 13184345 14112820 17641025 21094952 26368690 28225640 35282050 50100511 52737380 65921725 70564100 100201022 105474760 131843450 141128200 200402044 250502555 263686900 400804088 501005110 527373800 1002010220 1252512775 2004020440 2505025550 5010051100 10020102200