Search a number
-
+
101981110 = 25711294567
BaseRepresentation
bin1100001010000…
…01101110110110
321002220011210011
412011001232312
5202101343420
614041450434
72345553010
oct605015666
9232804704
10101981110
1152624a10
122a1a0a1a
131818846a
14d7891b0
158e4695a
hex6141bb6

101981110 has 64 divisors (see below), whose sum is σ = 236805120. Its totient is φ = 30683520.

The previous prime is 101981107. The next prime is 101981137. The reversal of 101981110 is 11189101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20047 + ... + 24613.

It is an arithmetic number, because the mean of its divisors is an integer number (3700080).

Almost surely, 2101981110 is an apocalyptic number.

101981110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101981110 is an abundant number, since it is smaller than the sum of its proper divisors (134824010).

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

101981110 is a wasteful number, since it uses less digits than its factorization.

101981110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621.

The product of its (nonzero) digits is 72, while the sum is 22.

The square root of 101981110 is about 10098.5697007051. The cubic root of 101981110 is about 467.2040278229.

The spelling of 101981110 in words is "one hundred one million, nine hundred eighty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 29 35 55 58 70 77 110 145 154 203 290 319 385 406 638 770 1015 1595 2030 2233 3190 4466 4567 9134 11165 22330 22835 31969 45670 50237 63938 100474 132443 159845 251185 264886 319690 351659 502370 662215 703318 927101 1324430 1456873 1758295 1854202 2913746 3516590 4635505 7284365 9271010 10198111 14568730 20396222 50990555 101981110