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10213022220 = 22352913942227
BaseRepresentation
bin10011000001011111…
…00101101000001100
3222100202121021200020
421200233211220030
5131404013202340
64405232302140
7511042153662
oct114057455014
928322537606
1010213022220
114370a91835
121b903a1950
13c69b83b1b
146cc574c32
153eb93a9d0
hex260be5a0c

10213022220 has 96 divisors (see below), whose sum is σ = 29796076800. Its totient is φ = 2610580224.

The previous prime is 10213022207. The next prime is 10213022227. The reversal of 10213022220 is 2222031201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10213022220.

It is not an unprimeable number, because it can be changed into a prime (10213022227) 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, 220747 + ... + 262973.

It is an arithmetic number, because the mean of its divisors is an integer number (310375800).

Almost surely, 210213022220 is an apocalyptic number.

10213022220 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 10213022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14898038400).

10213022220 is an abundant number, since it is smaller than the sum of its proper divisors (19583054580).

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

10213022220 is a wasteful number, since it uses less digits than its factorization.

10213022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42407 (or 42405 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10213022220 its reverse (2222031201), we get a palindrome (12435053421).

The spelling of 10213022220 in words is "ten billion, two hundred thirteen million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 139 145 174 278 290 348 417 435 556 580 695 834 870 1390 1668 1740 2085 2780 4031 4170 8062 8340 12093 16124 20155 24186 40310 42227 48372 60465 80620 84454 120930 126681 168908 211135 241860 253362 422270 506724 633405 844540 1224583 1266810 2449166 2533620 3673749 4898332 5869553 6122915 7347498 11739106 12245830 14694996 17608659 18368745 23478212 24491660 29347765 35217318 36737490 58695530 70434636 73474980 88043295 117391060 170217037 176086590 340434074 352173180 510651111 680868148 851085185 1021302222 1702170370 2042604444 2553255555 3404340740 5106511110 10213022220