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107693381430 = 232517103683377
BaseRepresentation
bin110010001001100000…
…1101001011100110110
3101021222100002121112200
41210103001221130312
53231024001201210
6121250150525330
710531512431655
oct1442301513466
9337870077480
10107693381430
1141744119478
1218a56366846
13a20367834b
1452d8b1119c
152c0486a0c0
hex1913069736

107693381430 has 96 divisors (see below), whose sum is σ = 299352366144. Its totient is φ = 26766471168.

The previous prime is 107693381423. The next prime is 107693381441. The reversal of 107693381430 is 34183396701.

107693381430 is a `hidden beast` number, since 107 + 6 + 9 + 33 + 81 + 430 = 666.

107693381430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184099 + ... + 499278.

It is an arithmetic number, because the mean of its divisors is an integer number (3118253814).

Almost surely, 2107693381430 is an apocalyptic number.

107693381430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107693381430 is an abundant number, since it is smaller than the sum of its proper divisors (191658984714).

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

107693381430 is a wasteful number, since it uses less digits than its factorization.

107693381430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683510 (or 683507 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 107693381430 in words is "one hundred seven billion, six hundred ninety-three million, three hundred eighty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 103 153 170 206 255 306 309 510 515 618 765 927 1030 1530 1545 1751 1854 3090 3502 4635 5253 8755 9270 10506 15759 17510 26265 31518 52530 78795 157590 683377 1366754 2050131 3416885 4100262 6150393 6833770 10250655 11617409 12300786 20501310 23234818 30751965 34852227 58087045 61503930 69704454 70387831 104556681 116174090 140775662 174261135 209113362 211163493 348522270 351939155 422326986 522783405 633490479 703878310 1045566810 1055817465 1196593127 1266980958 2111634930 2393186254 3167452395 3589779381 5982965635 6334904790 7179558762 10769338143 11965931270 17948896905 21538676286 35897793810 53846690715 107693381430