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10210442032 = 247229547821
BaseRepresentation
bin10011000001001011…
…01111101100110000
3222100120202012022201
421200211233230300
5131402333121112
64405101112544
7511011216400
oct114045575460
928316665281
1010210442032
11436a58a24a
121b8b558754
13c6948c59b
146cc0a2800
153eb5cb257
hex26096fb30

10210442032 has 120 divisors (see below), whose sum is σ = 23878672560. Its totient is φ = 4212149760.

The previous prime is 10210442027. The next prime is 10210442051. The reversal of 10210442032 is 23024401201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12436182 + ... + 12437002.

It is an arithmetic number, because the mean of its divisors is an integer number (198988938).

Almost surely, 210210442032 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 10210442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11939336280).

10210442032 is an abundant number, since it is smaller than the sum of its proper divisors (13668230528).

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

10210442032 is a wasteful number, since it uses less digits than its factorization.

10210442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10210442032 its reverse (23024401201), we get a palindrome (33234843233).

The spelling of 10210442032 in words is "ten billion, two hundred ten million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 547 784 812 821 1094 1421 1624 1642 2188 2842 3248 3284 3829 4376 5684 5747 6568 7658 8752 11368 11494 13136 15316 15863 22736 22988 23809 26803 30632 31726 40229 45976 47618 53606 61264 63452 80458 91952 95236 107212 111041 126904 160916 166663 190472 214424 222082 253808 321832 333326 380944 428848 444164 449087 643664 666652 777287 888328 898174 1166641 1333304 1554574 1776656 1796348 2333282 2666608 3109148 3143609 3592696 4666564 6218296 6287218 7185392 9333128 12436592 12574436 13023523 18666256 22005263 25148872 26047046 44010526 50297744 52094092 88021052 91164661 104188184 176042104 182329322 208376368 352084208 364658644 638152627 729317288 1276305254 1458634576 2552610508 5105221016 10210442032