Search a number
-
+
106815912813 = 3417107724967
BaseRepresentation
bin110001101111010111…
…0010111101101101101
3101012201011222120220000
41203132232113231231
53222224333202223
6121023123414513
710500666164301
oct1433656275555
9335634876800
10106815912813
11413338862a5
1218850524439
13a0c394034c
14525437bd01
152ba27de543
hex18deb97b6d

106815912813 has 40 divisors (see below), whose sum is σ = 170529872832. Its totient is φ = 66395286144.

The previous prime is 106815912811. The next prime is 106815912823. The reversal of 106815912813 is 318219518601.

It is not a de Polignac number, because 106815912813 - 21 = 106815912811 is a prime.

It is a super-2 number, since 2×1068159128132 (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 (106815912811) 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, 215145 + ... + 509822.

Almost surely, 2106815912813 is an apocalyptic number.

It is an amenable number.

106815912813 is a deficient number, since it is larger than the sum of its proper divisors (63713960019).

106815912813 is a wasteful number, since it uses less digits than its factorization.

106815912813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725103 (or 725094 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 106815912813 in words is "one hundred six billion, eight hundred fifteen million, nine hundred twelve thousand, eight hundred thirteen".

Divisors: 1 3 9 17 27 51 81 107 153 321 459 963 1377 1819 2889 5457 8667 16371 49113 147339 724967 2174901 6524703 12324439 19574109 36973317 58722327 77571469 110919951 232714407 332759853 698143221 998279559 1318714973 2094429663 3956144919 6283288989 11868434757 35605304271 106815912813