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10032221120112 = 2432149467571827
BaseRepresentation
bin1001000111111100111011…
…1110011110011001110000
31022112001220201221202012100
42101333032332132121300
52303331442101320422
633200423323300400
72053542535345062
oct221771676363160
938461821852170
1010032221120112
113218706312504
12116038a67a700
1357a05a738179
142697c2551732
15125e63a5b7ac
hex91fcef9e670

10032221120112 has 60 divisors (see below), whose sum is σ = 28264717002600. Its totient is φ = 3321630251904.

The previous prime is 10032221120111. The next prime is 10032221120177. The reversal of 10032221120112 is 21102112223001.

10032221120112 is a `hidden beast` number, since 1 + 0 + 0 + 322 + 211 + 20 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032221120111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 233764458 + ... + 233807369.

It is an arithmetic number, because the mean of its divisors is an integer number (471078616710).

Almost surely, 210032221120112 is an apocalyptic number.

10032221120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10032221120112 is an abundant number, since it is smaller than the sum of its proper divisors (18232495882488).

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

10032221120112 is a wasteful number, since it uses less digits than its factorization.

10032221120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467571990 (or 467571981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10032221120112 its reverse (21102112223001), we get a palindrome (31134333343113).

The spelling of 10032221120112 in words is "ten trillion, thirty-two billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 467571827 935143654 1402715481 1870287308 2805430962 3740574616 4208146443 5610861924 7481149232 8416292886 11221723848 16832585772 22443447696 33665171544 67330343088 69668202223 139336404446 209004606669 278672808892 418009213338 557345617784 627013820007 836018426676 1114691235568 1254027640014 1672036853352 2508055280028 3344073706704 5016110560056 10032221120112