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10121133222 = 23589233993
BaseRepresentation
bin10010110110100010…
…00011110010100110
3222010100200211200000
421123101003302212
5131212002230342
64352151002130
7505545133014
oct113321036246
928110624600
1010121133222
114324130212
121b65669346
13c53b20135
146c02958b4
153e383944c
hex25b443ca6

10121133222 has 48 divisors (see below), whose sum is σ = 22996930320. Its totient is φ = 3335789952.

The previous prime is 10121133221. The next prime is 10121133241. The reversal of 10121133222 is 22233112101.

10121133222 is a `hidden beast` number, since 101 + 211 + 332 + 22 = 666.

It is a super-4 number, since 4×101211332224 (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 = 10121133195 and 10121133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121133221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73743 + ... + 160250.

It is an arithmetic number, because the mean of its divisors is an integer number (479102715).

Almost surely, 210121133222 is an apocalyptic number.

10121133222 is an abundant number, since it is smaller than the sum of its proper divisors (12875797098).

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

10121133222 is an equidigital number, since it uses as much as digits as its factorization.

10121133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234099 (or 234087 counting only the distinct ones).

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

Adding to 10121133222 its reverse (22233112101), we get a palindrome (32354245323).

The spelling of 10121133222 in words is "ten billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1602 2403 4806 7209 14418 21627 43254 233993 467986 701979 1403958 2105937 4211874 6317811 12635622 18953433 20825377 37906866 41650754 56860299 62476131 113720598 124952262 187428393 374856786 562285179 1124570358 1686855537 3373711074 5060566611 10121133222