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10210013220 = 22351117986423
BaseRepresentation
bin10011000001001000…
…00111000000100100
3222100112221102002210
421200210013000210
5131402230410340
64405044003420
7511004452251
oct114044070044
928315842083
1010210013220
11436a317060
121b8b390570
13c6936c354
146cbdd0428
153eb544180
hex260907024

10210013220 has 96 divisors (see below), whose sum is σ = 31361541120. Its totient is φ = 2461298560.

The previous prime is 10210013197. The next prime is 10210013243. The reversal of 10210013220 is 2231001201.

It is an interprime number because it is at equal distance from previous prime (10210013197) and next prime (10210013243).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210013196 and 10210013205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74929 + ... + 161351.

It is an arithmetic number, because the mean of its divisors is an integer number (326682720).

Almost surely, 210210013220 is an apocalyptic number.

10210013220 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 10210013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680770560).

10210013220 is an abundant number, since it is smaller than the sum of its proper divisors (21151527900).

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

10210013220 is a wasteful number, since it uses less digits than its factorization.

10210013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86625 (or 86623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10210013220 its reverse (2231001201), we get a palindrome (12441014421).

The spelling of 10210013220 in words is "ten billion, two hundred ten million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 537 660 716 895 1074 1790 1969 2148 2685 3580 3938 5370 5907 7876 9845 10740 11814 19690 23628 29535 39380 59070 86423 118140 172846 259269 345692 432115 518538 864230 950653 1037076 1296345 1728460 1901306 2592690 2851959 3802612 4753265 5185380 5703918 9506530 11407836 14259795 15469717 19013060 28519590 30939434 46409151 57039180 61878868 77348585 92818302 154697170 170166887 185636604 232045755 309394340 340333774 464091510 510500661 680667548 850834435 928183020 1021001322 1701668870 2042002644 2552503305 3403337740 5105006610 10210013220