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10210023032 = 23114153107499
BaseRepresentation
bin10011000001001000…
…01001011001111000
3222100112221220120012
421200210021121320
5131402231214112
64405044121052
7511004522666
oct114044113170
928315856505
1010210023032
11436a323470
121b8b396188
13c69373961
146cbdd3c36
153eb547022
hex260909678

10210023032 has 128 divisors (see below), whose sum is σ = 22044960000. Its totient is φ = 4391961600.

The previous prime is 10210023023. The next prime is 10210023049. The reversal of 10210023032 is 23032001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10210022998 and 10210023016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20460719 + ... + 20461217.

It is an arithmetic number, because the mean of its divisors is an integer number (172226250).

Almost surely, 210210023032 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 10210023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022480000).

10210023032 is an abundant number, since it is smaller than the sum of its proper divisors (11834936968).

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

10210023032 is a wasteful number, since it uses less digits than its factorization.

10210023032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10210023032 its reverse (23032001201), we get a palindrome (33242024233).

The spelling of 10210023032 in words is "ten billion, two hundred ten million, twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 41 44 53 82 88 106 107 164 212 214 328 424 428 451 499 583 856 902 998 1166 1177 1804 1996 2173 2332 2354 3608 3992 4346 4387 4664 4708 5489 5671 8692 8774 9416 10978 11342 17384 17548 20459 21956 22684 23903 26447 35096 40918 43912 45368 47806 48257 52894 53393 62381 81836 95612 96514 105788 106786 124762 163672 191224 193028 211576 213572 225049 232511 249524 290917 386056 427144 450098 465022 499048 581834 587323 900196 930044 1084327 1163668 1174646 1800392 1860088 2168654 2189113 2327336 2349292 2557621 2829829 4337308 4378226 4698584 5115242 5659658 8674616 8756452 10230484 11319316 11927597 17512904 20460968 22638632 23855194 24080243 31128119 47710388 48160486 62256238 95420776 96320972 116022989 124512476 192641944 232045978 249024952 464091956 928183912 1276252879 2552505758 5105011516 10210023032