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10010111220 = 223456179081
BaseRepresentation
bin10010101001010011…
…00010110011110100
3221211121210100010000
421110221202303310
5131000042024340
64333143231300
7503026353504
oct112451426364
927747710100
1010010111220
1142774a079a
121b34448530
13c36b1a845
146ad635a04
153d8c08d30
hex254a62cf4

10010111220 has 60 divisors (see below), whose sum is σ = 31402094724. Its totient is φ = 2669362560.

The previous prime is 10010111213. The next prime is 10010111227. The reversal of 10010111220 is 2211101001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10010111213) and next prime (10010111227).

It can be written as a sum of positive squares in 2 ways, for example, as 2563801956 + 7446309264 = 50634^2 + 86292^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111227) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3087921 + ... + 3091160.

Almost surely, 210010111220 is an apocalyptic number.

10010111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010111220 is an abundant number, since it is smaller than the sum of its proper divisors (21391983504).

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

10010111220 is a wasteful number, since it uses less digits than its factorization.

10010111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179102 (or 6179091 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010111220 its reverse (2211101001), we get a palindrome (12221212221).

The spelling of 10010111220 in words is "ten billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6179081 12358162 18537243 24716324 30895405 37074486 55611729 61790810 74148972 92686215 111223458 123581620 166835187 185372430 222446916 278058645 333670374 370744860 500505561 556117290 667340748 834175935 1001011122 1112234580 1668351870 2002022244 2502527805 3336703740 5005055610 10010111220