Search a number
-
+
102330100 = 22521023301
BaseRepresentation
bin1100001100101…
…10111011110100
321010112220111201
412012112323310
5202144030400
614053142244
72351535325
oct606267364
9233486451
10102330100
1152843134
122a32a984
131827b272
14d83a44c
158eb506a
hex6196ef4

102330100 has 18 divisors (see below), whose sum is σ = 222056534. Its totient is φ = 40932000.

The previous prime is 102330079. The next prime is 102330103. The reversal of 102330100 is 1033201.

It can be written as a sum of positive squares in 3 ways, for example, as 481636 + 101848464 = 694^2 + 10092^2 .

It is a super-3 number, since 3×1023301003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511551 + ... + 511750.

Almost surely, 2102330100 is an apocalyptic number.

102330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102330100 is an abundant number, since it is smaller than the sum of its proper divisors (119726434).

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

102330100 is a wasteful number, since it uses less digits than its factorization.

102330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023315 (or 1023308 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 102330100 is about 10115.8341227998. The cubic root of 102330100 is about 467.7363613620.

Adding to 102330100 its reverse (1033201), we get a palindrome (103363301).

The spelling of 102330100 in words is "one hundred two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1023301 2046602 4093204 5116505 10233010 20466020 25582525 51165050 102330100