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10108384308 = 2234117613727
BaseRepresentation
bin10010110101000000…
…11011010000110100
3222002110201010110000
421122200123100310
5131200221244213
64351013431300
7505331564121
oct113240332064
928073633400
1010108384308
114317a12820
121b6133b530
13c512a82b9
146bc6d7748
153e266bc73
hex25a81b434

10108384308 has 120 divisors (see below), whose sum is σ = 28873240704. Its totient is φ = 3058300800.

The previous prime is 10108384301. The next prime is 10108384327. The reversal of 10108384308 is 80348380101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108384301) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2710341 + ... + 2714067.

Almost surely, 210108384308 is an apocalyptic number.

10108384308 is a gapful number since it is divisible by the number (18) 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 10108384308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436620352).

10108384308 is an abundant number, since it is smaller than the sum of its proper divisors (18764856396).

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

10108384308 is a wasteful number, since it uses less digits than its factorization.

10108384308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4504 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10108384308 in words is "ten billion, one hundred eight million, three hundred eighty-four thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 761 891 1188 1522 1782 2283 3044 3564 3727 4566 6849 7454 8371 9132 11181 13698 14908 16742 20547 22362 25113 27396 33484 33543 40997 41094 44724 50226 61641 67086 75339 81994 82188 100452 100629 122991 123282 134172 150678 163988 201258 226017 245982 246564 301356 301887 368973 402516 452034 491964 603774 678051 737946 904068 1106919 1207548 1356102 1475892 2213838 2712204 2836247 3320757 4427676 5672494 6641514 8508741 11344988 13283028 17017482 25526223 31198717 34034964 51052446 62397434 76578669 93596151 102104892 124794868 153157338 187192302 229736007 280788453 306314676 374384604 459472014 561576906 842365359 918944028 1123153812 1684730718 2527096077 3369461436 5054192154 10108384308