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10105501122 = 2322343567661
BaseRepresentation
bin10010110100101010…
…11011010111000010
3222002021021122110100
421122111123113002
5131144002013442
64350431543230
7505265225253
oct113225332702
928067248410
1010105501122
114316323622
121b6038ab16
13c50808b82
146bc186b2a
153e229c84c
hex25a55b5c2

10105501122 has 48 divisors (see below), whose sum is σ = 23378591808. Its totient is φ = 3147107040.

The previous prime is 10105501121. The next prime is 10105501163. The reversal of 10105501122 is 22110550101.

10105501122 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 550 + 112 + 2 = 666.

10105501122 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10105501095 and 10105501104.

It is not an unprimeable number, because it can be changed into a prime (10105501121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 266029 + ... + 301632.

It is an arithmetic number, because the mean of its divisors is an integer number (487053996).

Almost surely, 210105501122 is an apocalyptic number.

10105501122 is an abundant number, since it is smaller than the sum of its proper divisors (13273090686).

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

10105501122 is a wasteful number, since it uses less digits than its factorization.

10105501122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567735 (or 567732 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 10105501122 in words is "ten billion, one hundred five million, five hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1978 2967 5934 8901 17802 567661 1135322 1702983 3405966 5108949 10217898 13056203 24409423 26112406 39168609 48818846 73228269 78337218 117505827 146456538 219684807 235011654 439369614 561416729 1122833458 1684250187 3368500374 5052750561 10105501122