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10242347610 = 2351131232297
BaseRepresentation
bin10011000100111110…
…11101001001011010
3222102210210011112210
421202133131021122
5131434020110420
64412201015550
7511546342515
oct114237351132
928383704483
1010242347610
1143865a13a0
121b9a1845b6
13c72c80a21
146d2409d7c
153ee2ce9e0
hex2627dd25a

10242347610 has 96 divisors (see below), whose sum is σ = 27710133696. Its totient is φ = 2402822400.

The previous prime is 10242347587. The next prime is 10242347611. The reversal of 10242347610 is 1674324201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10242347611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300982 + ... + 333278.

It is an arithmetic number, because the mean of its divisors is an integer number (288647226).

Almost surely, 210242347610 is an apocalyptic number.

10242347610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242347610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13855066848).

10242347610 is an abundant number, since it is smaller than the sum of its proper divisors (17467786086).

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

10242347610 is a wasteful number, since it uses less digits than its factorization.

10242347610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32380 (or 32349 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10242347610 in words is "ten billion, two hundred forty-two million, three hundred forty-seven thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 961 1023 1705 1922 2046 2883 3410 4805 5115 5766 9610 10230 10571 14415 21142 28830 31713 32297 52855 63426 64594 96891 105710 158565 161485 193782 317130 322970 355267 484455 710534 968910 1001207 1065801 1776335 2002414 2131602 3003621 3552670 5006035 5329005 6007242 10012070 10658010 11013277 15018105 22026554 30036210 31037417 33039831 55066385 62074834 66079662 93112251 110132770 155187085 165199155 186224502 310374170 330398310 341411587 465561255 682823174 931122510 1024234761 1707057935 2048469522 3414115870 5121173805 10242347610