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10200220100 = 22527130711149
BaseRepresentation
bin10010111111111101…
…10000000111000100
3222022212111212110122
421133332300013010
5131342224020400
64404054041112
7510525304010
oct113776600704
928285455418
1010200220100
114364838374
121b88049198
13c673209c5
146ca9a1540
153ea75c685
hex25ffb01c4

10200220100 has 72 divisors (see below), whose sum is σ = 25318171200. Its totient is φ = 3494229120.

The previous prime is 10200220087. The next prime is 10200220123. The reversal of 10200220100 is 102200201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909326 + ... + 920474.

Almost surely, 210200220100 is an apocalyptic number.

10200220100 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 10200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659085600).

10200220100 is an abundant number, since it is smaller than the sum of its proper divisors (15117951100).

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

10200220100 is a wasteful number, since it uses less digits than its factorization.

10200220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12477 (or 12470 counting only the distinct ones).

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

Adding to 10200220100 its reverse (102200201), we get a palindrome (10302420301).

The spelling of 10200220100 in words is "ten billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1307 2614 5228 6535 9149 11149 13070 18298 22298 26140 32675 36596 44596 45745 55745 65350 78043 91490 111490 130700 156086 182980 222980 228725 278725 312172 390215 457450 557450 780430 914900 1114900 1560860 1951075 3902150 7804300 14571743 29143486 58286972 72858715 102002201 145717430 204004402 291434860 364293575 408008804 510011005 728587150 1020022010 1457174300 2040044020 2550055025 5100110050 10200220100