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10221122032 = 241158074557
BaseRepresentation
bin10011000010011100…
…11111000111110000
3222101022211210112021
421201032133013300
5131413101401112
64410122041224
7511201050412
oct114116370760
928338753467
1010221122032
1143756142a0
121b93049214
13c6b75b804
146cd6829b2
153ec4da907
hex26139f1f0

10221122032 has 20 divisors (see below), whose sum is σ = 21603735576. Its totient is φ = 4645964480.

The previous prime is 10221121951. The next prime is 10221122081. The reversal of 10221122032 is 23022112201.

It is a happy number.

10221122032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10221121997 and 10221122015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29037103 + ... + 29037454.

Almost surely, 210221122032 is an apocalyptic number.

It is an amenable number.

10221122032 is an abundant number, since it is smaller than the sum of its proper divisors (11382613544).

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

10221122032 is a wasteful number, since it uses less digits than its factorization.

10221122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58074576 (or 58074570 counting only the distinct ones).

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

Adding to 10221122032 its reverse (23022112201), we get a palindrome (33243234233).

It can be divided in two parts, 1022112 and 2032, that added together give a square (1024144 = 10122).

The spelling of 10221122032 in words is "ten billion, two hundred twenty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 58074557 116149114 232298228 464596456 638820127 929192912 1277640254 2555280508 5110561016 10221122032