Search a number
-
+
102213108 = 223215118803
BaseRepresentation
bin1100001011110…
…10010111110100
321010022222000200
412011322113310
5202131304413
614050440500
72350540254
oct605722764
9233288020
10102213108
1152773248
122a293130
1318239c3a
14d809964
158e90573
hex617a5f4

102213108 has 36 divisors (see below), whose sum is σ = 260096928. Its totient is φ = 33843600.

The previous prime is 102213101. The next prime is 102213113. The reversal of 102213108 is 801312201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3966 + ... + 14837.

Almost surely, 2102213108 is an apocalyptic number.

102213108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102213108 is an abundant number, since it is smaller than the sum of its proper divisors (157883820).

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

102213108 is a wasteful number, since it uses less digits than its factorization.

102213108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18964 (or 18959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102213108 is about 10110.0498515091. The cubic root of 102213108 is about 467.5580421134.

Adding to 102213108 its reverse (801312201), we get a palindrome (903525309).

The spelling of 102213108 in words is "one hundred two million, two hundred thirteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 18803 37606 56409 75212 112818 169227 225636 338454 676908 2839253 5678506 8517759 11357012 17035518 25553277 34071036 51106554 102213108