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10010022100 = 2252132592309
BaseRepresentation
bin10010101001010010…
…01101000011010100
3221211121121210212021
421110221031003110
5131000031201400
64333141302524
7503025532621
oct112451150324
927747553767
1010010022100
11427743a841
121b34404a44
13c36ab9100
146ad611348
153d8bdc71a
hex254a4d0d4

10010022100 has 54 divisors (see below), whose sum is σ = 23521222410. Its totient is φ = 3696001920.

The previous prime is 10010022089. The next prime is 10010022131. The reversal of 10010022100 is 122001001.

It can be written as a sum of positive squares in 9 ways, for example, as 6419855376 + 3590166724 = 80124^2 + 59918^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 279255 + ... + 313054.

Almost surely, 210010022100 is an apocalyptic number.

10010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010022100 is an abundant number, since it is smaller than the sum of its proper divisors (13511200310).

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

10010022100 is a wasteful number, since it uses less digits than its factorization.

10010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592349 (or 592329 counting only the distinct ones).

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

Adding to 10010022100 its reverse (122001001), we get a palindrome (10132023101).

The spelling of 10010022100 in words is "ten billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 592309 1184618 2369236 2961545 5923090 7700017 11846180 14807725 15400034 29615450 30800068 38500085 59230900 77000170 100100221 154000340 192500425 200200442 385000850 400400884 500501105 770001700 1001002210 2002004420 2502505525 5005011050 10010022100