Search a number
-
+
102191881 = 1129192
BaseRepresentation
bin1100001011101…
…01001100001001
321010021212220111
412011311030021
5202130120011
614050154321
72350421341
oct605651411
9233255814
10102191881
1152759300
122a2829a1
131823038c
14d801d21
158e89121
hex6175309

102191881 has 9 divisors (see below), whose sum is σ = 112448973. Its totient is φ = 92800620.

The previous prime is 102191867. The next prime is 102191909. The reversal of 102191881 is 188191201.

The square root of 102191881 is 10109.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 102191881 - 223 = 93803273 is a prime.

It is a super-2 number, since 2×1021918812 = 20886361084636322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102191821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110740 + ... + 111658.

Almost surely, 2102191881 is an apocalyptic number.

102191881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102191881 is the 10109-th square number.

102191881 is the 5055-th centered octagonal number.

It is an amenable number.

102191881 is a deficient number, since it is larger than the sum of its proper divisors (10257092).

102191881 is an frugal number, since it uses more digits than its factorization.

102191881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 31.

The cubic root of 102191881 is about 467.5256733306.

It can be divided in two parts, 10219 and 1881, that added together give a square (12100 = 1102).

The spelling of 102191881 in words is "one hundred two million, one hundred ninety-one thousand, eight hundred eighty-one".

Divisors: 1 11 121 919 10109 111199 844561 9290171 102191881