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10012022132 = 22743101281293
BaseRepresentation
bin10010101001100001…
…10101010101110100
3221211202101102101112
421110300311111310
5131001034202012
64333252214152
7503051532620
oct112460652564
927752342345
1010012022132
114278586462
121b3500a358
13c37339568
146ad9b2180
153d8e85122
hex254c35574

10012022132 has 96 divisors (see below), whose sum is σ = 20837101824. Its totient is φ = 4120704000.

The previous prime is 10012022117. The next prime is 10012022191. The reversal of 10012022132 is 23122021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 34170578 + ... + 34170870.

It is an arithmetic number, because the mean of its divisors is an integer number (217053144).

Almost surely, 210012022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418550912).

10012022132 is an abundant number, since it is smaller than the sum of its proper divisors (10825079692).

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

10012022132 is a wasteful number, since it uses less digits than its factorization.

10012022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10012022132 its reverse (23122021001), we get a palindrome (33134043133).

The spelling of 10012022132 in words is "ten billion, twelve million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 101 172 202 281 293 301 404 562 586 602 707 1124 1172 1204 1414 1967 2051 2828 3934 4102 4343 7868 8204 8686 12083 12599 17372 24166 25198 28381 29593 30401 48332 50396 56762 59186 60802 82333 84581 88193 113524 118372 121604 164666 169162 176386 198667 207151 329332 338324 352772 397334 414302 576331 794668 828604 1152662 1220383 1272499 2305324 2440766 2544998 3540319 4881532 5089996 7080638 8315633 8542681 8907493 14161276 16631266 17085362 17814986 24782233 33262532 34170724 35629972 49564466 58209431 99128932 116418862 232837724 357572219 715144438 1430288876 2503005533 5006011066 10012022132