Search a number
-
+
107151205686 = 23731531552781
BaseRepresentation
bin110001111001010110…
…1011010010100110110
3101020120112220020020120
41203302231122110312
53223421202040221
6121120302112410
710512210135450
oct1436255322466
9336515806216
10107151205686
1141496075848
121892487b706
13a1482472b5
145286adb2d0
152bc1e705c6
hex18f2b5a536

107151205686 has 64 divisors (see below), whose sum is σ = 257587900416. Its totient is φ = 29068041600.

The previous prime is 107151205673. The next prime is 107151205699. The reversal of 107151205686 is 686502151701.

It is an interprime number because it is at equal distance from previous prime (107151205673) and next prime (107151205699).

It is a super-2 number, since 2×1071512056862 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707385 + ... + 845396.

It is an arithmetic number, because the mean of its divisors is an integer number (4024810944).

Almost surely, 2107151205686 is an apocalyptic number.

107151205686 is an abundant number, since it is smaller than the sum of its proper divisors (150436694730).

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

107151205686 is a wasteful number, since it uses less digits than its factorization.

107151205686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552877.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 107151205686 in words is "one hundred seven billion, one hundred fifty-one million, two hundred five thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 14 21 31 42 53 62 93 106 159 186 217 318 371 434 651 742 1113 1302 1643 2226 3286 4929 9858 11501 23002 34503 69006 1552781 3105562 4658343 9316686 10869467 21738934 32608401 48136211 65216802 82297393 96272422 144408633 164594786 246892179 288817266 336953477 493784358 576081751 673906954 1010860431 1152163502 1728245253 2021720862 2551219183 3456490506 5102438366 7653657549 15307315098 17858534281 35717068562 53575602843 107151205686