Search a number
-
+
101916342 = 232111927091
BaseRepresentation
bin1100001001100…
…01111010110110
321002202212221100
412010301322312
5202042310332
614040230530
72345163123
oct604617266
9232685840
10101916342
1152590290
122a16b446
1318164b38
14d76d74a
158e3267c
hex6131eb6

101916342 has 48 divisors (see below), whose sum is σ = 253581120. Its totient is φ = 29257200.

The previous prime is 101916341. The next prime is 101916349. The reversal of 101916342 is 243619101.

101916342 is a `hidden beast` number, since 10 + 19 + 1 + 634 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101916341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9784 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (5282940).

Almost surely, 2101916342 is an apocalyptic number.

101916342 is an abundant number, since it is smaller than the sum of its proper divisors (151664778).

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

101916342 is a wasteful number, since it uses less digits than its factorization.

101916342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27129 (or 27126 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101916342 is about 10095.3624006273. The cubic root of 101916342 is about 467.1051000942.

The spelling of 101916342 in words is "one hundred one million, nine hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 27091 54182 81273 162546 243819 298001 487638 514729 596002 894003 1029458 1544187 1788006 2682009 3088374 4632561 5364018 5662019 9265122 11324038 16986057 33972114 50958171 101916342