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10100011220 = 2251322988169
BaseRepresentation
bin10010110100000000…
…11111000011010100
3222001212221201201122
421122000133003110
5131141100324340
64350114143112
7505200451565
oct113200370324
928055851648
1010100011220
114313213a12
121b5a581a98
13c4c636100
146bb55816c
153e1a65db5
hex25a01f0d4

10100011220 has 36 divisors (see below), whose sum is σ = 22967074620. Its totient is φ = 3729233664.

The previous prime is 10100011157. The next prime is 10100011223. The reversal of 10100011220 is 2211000101.

It can be written as a sum of positive squares in 6 ways, for example, as 179452816 + 9920558404 = 13396^2 + 99602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100011198 and 10100011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1490705 + ... + 1497464.

It is an arithmetic number, because the mean of its divisors is an integer number (637974295).

Almost surely, 210100011220 is an apocalyptic number.

10100011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100011220 is an abundant number, since it is smaller than the sum of its proper divisors (12867063400).

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

10100011220 is a wasteful number, since it uses less digits than its factorization.

10100011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988204 (or 2988189 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100011220 its reverse (2211000101), we get a palindrome (12311011321).

The spelling of 10100011220 in words is "ten billion, one hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 2988169 5976338 11952676 14940845 29881690 38846197 59763380 77692394 155384788 194230985 388461970 505000561 776923940 1010001122 2020002244 2525002805 5050005610 10100011220