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103223746760 = 23541163386143
BaseRepresentation
bin110000000100010011…
…1010110000011001000
3100212102211200122102212
41200020213112003020
53142400234344020
6115230443044252
710312660241051
oct1401047260310
9325384618385
10103223746760
113a860128822
1218009510688
139970673bc4
144dd326b728
152a42278cc5
hex18089d60c8

103223746760 has 64 divisors (see below), whose sum is σ = 239378388480. Its totient is φ = 40035202560.

The previous prime is 103223746753. The next prime is 103223746777. The reversal of 103223746760 is 67647322301.

It is a super-2 number, since 2×1032237467602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 74249 + ... + 460391.

It is an arithmetic number, because the mean of its divisors is an integer number (3740287320).

Almost surely, 2103223746760 is an apocalyptic number.

103223746760 is a gapful number since it is divisible by the number (10) 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 103223746760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119689194240).

103223746760 is an abundant number, since it is smaller than the sum of its proper divisors (136154641720).

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

103223746760 is a wasteful number, since it uses less digits than its factorization.

103223746760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386358 (or 386354 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 103223746760 in words is "one hundred three billion, two hundred twenty-three million, seven hundred forty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 163 164 205 326 328 410 652 815 820 1304 1630 1640 3260 6520 6683 13366 26732 33415 53464 66830 133660 267320 386143 772286 1544572 1930715 3089144 3861430 7722860 15445720 15831863 31663726 62941309 63327452 79159315 125882618 126654904 158318630 251765236 314706545 316637260 503530472 629413090 633274520 1258826180 2517652360 2580593669 5161187338 10322374676 12902968345 20644749352 25805936690 51611873380 103223746760