Search a number
-
+
106086969991 = 2943974791831
BaseRepresentation
bin110001011001101000…
…1101011001010000111
3101010211101100110022201
41202303101223022013
53214231231014431
6120422523535331
710443635236462
oct1426321531207
9333741313281
10106086969991
1140a9a368812
121868838a547
13a008909232
1451c562c2d9
152b5d801461
hex18b346b287

106086969991 has 32 divisors (see below), whose sum is σ = 113754009600. Its totient is φ = 98754647040.

The previous prime is 106086969953. The next prime is 106086969997. The reversal of 106086969991 is 199969680601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106086969991 is a prime.

It is a super-2 number, since 2×1060869699912 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106086969997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57938446 + ... + 57940276.

It is an arithmetic number, because the mean of its divisors is an integer number (3554812800).

Almost surely, 2106086969991 is an apocalyptic number.

106086969991 is a deficient number, since it is larger than the sum of its proper divisors (7667039609).

106086969991 is a wasteful number, since it uses less digits than its factorization.

106086969991 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479.

The product of its (nonzero) digits is 11337408, while the sum is 64.

The spelling of 106086969991 in words is "one hundred six billion, eighty-six million, nine hundred sixty-nine thousand, nine hundred ninety-one".

Divisors: 1 29 43 97 479 1247 1831 2813 4171 13891 20597 46463 53099 78733 120959 177607 597313 877049 1347427 1997909 2283257 5150603 7637101 25434421 37713107 57939361 85073753 221475929 1093680103 2467138837 3658171379 106086969991