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10123231122 = 234193288899
BaseRepresentation
bin10010110110110010…
…00011111110010010
3222010111122102110000
421123121003332102
5131213021343442
64352303550430
7505602021234
oct113331037622
928114572400
1010123231122
114325333414
121b662bb416
13c543a5cb4
146c0680254
153e3b00d4c
hex25b643f92

10123231122 has 40 divisors (see below), whose sum is σ = 23877414000. Its totient is φ = 3196808856.

The previous prime is 10123231121. The next prime is 10123231163. The reversal of 10123231122 is 22113232101.

10123231122 is a `hidden beast` number, since 101 + 232 + 311 + 22 = 666.

It is a super-4 number, since 4×101232311224 (a number of 41 digits) contains 4444 as substring.

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 = 10123231095 and 10123231104.

It is not an unprimeable number, because it can be changed into a prime (10123231121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1641372 + ... + 1647527.

It is an arithmetic number, because the mean of its divisors is an integer number (596935350).

Almost surely, 210123231122 is an apocalyptic number.

10123231122 is an abundant number, since it is smaller than the sum of its proper divisors (13754182878).

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

10123231122 is a wasteful number, since it uses less digits than its factorization.

10123231122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288932 (or 3288923 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123231122 its reverse (22113232101), we get a palindrome (32236463223).

The spelling of 10123231122 in words is "ten billion, one hundred twenty-three million, two hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 3288899 6577798 9866697 19733394 29600091 59200182 62489081 88800273 124978162 177600546 187467243 266400819 374934486 532801638 562401729 1124803458 1687205187 3374410374 5061615561 10123231122