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106814780631 = 321323371072793
BaseRepresentation
bin110001101111010101…
…0000011010011010111
3101012201002212001211100
41203132222003103113
53222224040440011
6121023043241143
710500653440416
oct1433652032327
9335632761740
10106814780631
1141333182709
12188500791b3
13a0c3634c10
14525416547d
152ba2668d56
hex18dea834d7

106814780631 has 48 divisors (see below), whose sum is σ = 178066639296. Its totient is φ = 61174891008.

The previous prime is 106814780609. The next prime is 106814780641. The reversal of 106814780631 is 136087418601.

106814780631 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 4 + 7 + 8 + 0 + 631 = 666.

It is not a de Polignac number, because 106814780631 - 29 = 106814780119 is a prime.

It is a super-2 number, since 2×1068147806312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814780641) 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, 436830 + ... + 635963.

It is an arithmetic number, because the mean of its divisors is an integer number (3709721652).

Almost surely, 2106814780631 is an apocalyptic number.

106814780631 is a deficient number, since it is larger than the sum of its proper divisors (71251858665).

106814780631 is a wasteful number, since it uses less digits than its factorization.

106814780631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072872 (or 1072869 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106814780631 in words is "one hundred six billion, eight hundred fourteen million, seven hundred eighty thousand, six hundred thirty-one".

Divisors: 1 3 9 13 23 37 39 69 111 117 207 299 333 481 851 897 1443 2553 2691 4329 7659 11063 33189 99567 1072793 3218379 9655137 13946309 24674239 39693341 41838927 74022717 119080023 125516781 222068151 320765107 357240069 516013433 912946843 962295321 1548040299 2738840529 2886885963 4644120897 8216521587 11868308959 35604926877 106814780631