Search a number
-
+
122113100 = 22521221131
BaseRepresentation
bin1110100011101…
…00110001001100
322111202222200102
413101310301030
5222230104400
620041150232
73011641604
oct721646114
9274688612
10122113100
1162a2541a
1234a8b378
131c3b6995
1412309c04
15aac19d5
hex7474c4c

122113100 has 18 divisors (see below), whose sum is σ = 264985644. Its totient is φ = 48845200.

The previous prime is 122113093. The next prime is 122113109. The reversal of 122113100 is 1311221.

It is a super-2 number, since 2×1221131002 = 29823218383220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122113109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 610466 + ... + 610665.

Almost surely, 2122113100 is an apocalyptic number.

122113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122113100 is an abundant number, since it is smaller than the sum of its proper divisors (142872544).

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

122113100 is a wasteful number, since it uses less digits than its factorization.

122113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221145 (or 1221138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 122113100 is about 11050.4796275999. The cubic root of 122113100 is about 496.1207811567.

Adding to 122113100 its reverse (1311221), we get a palindrome (123424321).

It can be divided in two parts, 12 and 2113100, that added together give a palindrome (2113112).

The spelling of 122113100 in words is "one hundred twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221131 2442262 4884524 6105655 12211310 24422620 30528275 61056550 122113100