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10331013132 = 22341123126031
BaseRepresentation
bin10011001111100011…
…01100000000001100
3222122222121211210000
421213301230000030
5132124214410012
64425045244300
7514004106546
oct114761540014
928588554700
1010331013132
114421651090
122003a03690
13c8845642b
147000ca696
15406e95ddc
hex267c6c00c

10331013132 has 120 divisors (see below), whose sum is σ = 30743741952. Its totient is φ = 2994472800.

The previous prime is 10331013107. The next prime is 10331013149. The reversal of 10331013132 is 23131013301.

It is a happy number.

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 39 ways as a sum of consecutive naturals, for example, 18957 + ... + 144987.

Almost surely, 210331013132 is an apocalyptic number.

10331013132 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 10331013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371870976).

10331013132 is an abundant number, since it is smaller than the sum of its proper divisors (20412728820).

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

10331013132 is a wasteful number, since it uses less digits than its factorization.

10331013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126081 (or 126070 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10331013132 its reverse (23131013301), we get a palindrome (33462026433).

The spelling of 10331013132 in words is "ten billion, three hundred thirty-one million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 162 198 207 253 276 297 324 396 414 506 594 621 759 828 891 1012 1188 1242 1518 1782 1863 2277 2484 3036 3564 3726 4554 6831 7452 9108 13662 20493 27324 40986 81972 126031 252062 378093 504124 756186 1134279 1386341 1512372 2268558 2772682 2898713 3402837 4159023 4537116 5545364 5797426 6805674 8318046 8696139 10208511 11594852 12477069 13611348 16636092 17392278 20417022 24954138 26088417 31885843 34784556 37431207 40834044 49908276 52176834 63771686 74862414 78265251 95657529 104353668 112293621 127543372 149724828 156530502 191315058 224587242 234795753 286972587 313061004 382630116 449174484 469591506 573945174 860917761 939183012 1147890348 1721835522 2582753283 3443671044 5165506566 10331013132