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10123221132 = 22331717930803
BaseRepresentation
bin10010110110110010…
…00001100010001100
3222010111121220202000
421123121001202030
5131213021034012
64352303432300
7505601650143
oct113331014214
928114556660
1010123221132
114325326962
121b662b5690
13c543a159b
146c067a75a
153e3aecddc
hex25b64188c

10123221132 has 96 divisors (see below), whose sum is σ = 27945388800. Its totient is φ = 3158067456.

The previous prime is 10123221091. The next prime is 10123221167. The reversal of 10123221132 is 23112232101.

It is a super-2 number, since 2×101232211322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313243 + ... + 344045.

It is an arithmetic number, because the mean of its divisors is an integer number (291097800).

Almost surely, 210123221132 is an apocalyptic number.

10123221132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972694400).

10123221132 is an abundant number, since it is smaller than the sum of its proper divisors (17822167668).

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

10123221132 is a wasteful number, since it uses less digits than its factorization.

10123221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31012 (or 31004 counting only the distinct ones).

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

Adding to 10123221132 its reverse (23112232101), we get a palindrome (33235453233).

The spelling of 10123221132 in words is "ten billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 179 204 306 358 459 537 612 716 918 1074 1611 1836 2148 3043 3222 4833 6086 6444 9129 9666 12172 18258 19332 27387 30803 36516 54774 61606 82161 92409 109548 123212 164322 184818 277227 328644 369636 523651 554454 831681 1047302 1108908 1570953 1663362 2094604 3141906 3326724 4712859 5513737 6283812 9425718 11027474 14138577 16541211 18851436 22054948 28277154 33082422 49623633 56554308 66164844 93733529 99247266 148870899 187467058 198494532 281200587 297741798 374934116 562401174 595483596 843601761 1124802348 1687203522 2530805283 3374407044 5061610566 10123221132