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10211031220 = 22513732392251
BaseRepresentation
bin10011000001001111…
…11111100010110100
3222100121212010112111
421200213333202310
5131403010444340
64405121500404
7511016222215
oct114047774264
928317763474
1010211031220
11436a951985
121b8b7a1704
13c69637810
146cc1b740c
153eb695aea
hex2609ff8b4

10211031220 has 96 divisors (see below), whose sum is σ = 23517365760. Its totient is φ = 3701376000.

The previous prime is 10211031199. The next prime is 10211031221. The reversal of 10211031220 is 2213011201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10211031220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211031221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535095 + ... + 4537345.

It is an arithmetic number, because the mean of its divisors is an integer number (244972560).

Almost surely, 210211031220 is an apocalyptic number.

10211031220 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 10211031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758682880).

10211031220 is an abundant number, since it is smaller than the sum of its proper divisors (13306334540).

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

10211031220 is a wasteful number, since it uses less digits than its factorization.

10211031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10211031220 its reverse (2213011201), we get a palindrome (12424042421).

The spelling of 10211031220 in words is "ten billion, two hundred eleven million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 239 260 292 365 478 730 949 956 1195 1460 1898 2251 2390 3107 3796 4502 4745 4780 6214 9004 9490 11255 12428 15535 17447 18980 22510 29263 31070 34894 45020 58526 62140 69788 87235 117052 146315 164323 174470 226811 292630 328646 348940 453622 537989 585260 657292 821615 907244 1075978 1134055 1643230 2136199 2151956 2268110 2689945 3286460 4272398 4536220 5379890 6993857 8544796 10680995 10759780 13987714 21361990 27975428 34969285 39273197 42723980 69938570 78546394 139877140 157092788 196365985 392731970 510551561 785463940 1021103122 2042206244 2552757805 5105515610 10211031220