Search a number
-
+
107002520394 = 237211197167953
BaseRepresentation
bin110001110100111011…
…0001110001101001010
3101020012012010020100220
41203221312032031022
53223120121123034
6121053431210510
710505423262600
oct1435166161512
9336165106326
10107002520394
114141a151340
12188a2b16a36
13a1234b8933
145271075870
152bb3da0749
hex18e9d8e34a

107002520394 has 96 divisors (see below), whose sum is σ = 272956153536. Its totient is φ = 27651617280.

The previous prime is 107002520393. The next prime is 107002520461. The reversal of 107002520394 is 493025200701.

It is a super-2 number, since 2×1070025203942 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107002520393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553122 + ... + 721074.

It is an arithmetic number, because the mean of its divisors is an integer number (2843293266).

Almost surely, 2107002520394 is an apocalyptic number.

107002520394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107002520394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136478076768).

107002520394 is an abundant number, since it is smaller than the sum of its proper divisors (165953633142).

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

107002520394 is a wasteful number, since it uses less digits than its factorization.

107002520394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168180 (or 168173 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 107002520394 in words is "one hundred seven billion, two million, five hundred twenty thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 197 231 294 394 462 539 591 1078 1182 1379 1617 2167 2758 3234 4137 4334 6501 8274 9653 13002 15169 19306 28959 30338 45507 57918 91014 106183 167953 212366 318549 335906 503859 637098 1007718 1175671 1847483 2351342 3527013 3694966 5542449 7054026 8229697 11084898 12932381 16459394 24689091 25864762 33086741 38797143 49378182 66173482 77594286 90526667 99260223 181053334 198520446 231607187 271580001 363954151 463214374 543160002 694821561 727908302 1091862453 1389643122 1621250309 2183724906 2547679057 3242500618 4863750927 5095358114 7643037171 9727501854 15286074342 17833753399 35667506798 53501260197 107002520394