Search a number
-
+
10202221312 = 28131304217
BaseRepresentation
bin10011000000001100…
…11000101100000000
3222100000021112121121
421200012120230000
5131343232040222
64404205002024
7510551310313
oct114006305400
928300245547
1010202221312
114365984968
121b88853314
13c6787185a
146cad6297a
153eaa055c7
hex260198b00

10202221312 has 36 divisors (see below), whose sum is σ = 20520112536. Its totient is φ = 5062154240.

The previous prime is 10202221301. The next prime is 10202221319. The reversal of 10202221312 is 21312220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10202221319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118573 + ... + 185644.

It is an arithmetic number, because the mean of its divisors is an integer number (570003126).

Almost surely, 210202221312 is an apocalyptic number.

It is an amenable number.

10202221312 is an abundant number, since it is smaller than the sum of its proper divisors (10317891224).

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

10202221312 is an equidigital number, since it uses as much as digits as its factorization.

10202221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304364 (or 304350 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10202221312 its reverse (21312220201), we get a palindrome (31514441513).

The spelling of 10202221312 in words is "ten billion, two hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 524 1048 2096 4192 8384 16768 33536 304217 608434 1216868 2433736 4867472 9734944 19469888 38939776 39852427 77879552 79704854 159409708 318819416 637638832 1275277664 2550555328 5101110656 10202221312