Search a number
-
+
103230013032120 = 2335132137148924953
BaseRepresentation
bin10111011110001100011100…
…010000011100011010111000
3111112111200201002200111022110
4113132030130100130122320
5102012310031314011440
61003315114023452320
730513056646000612
oct2736143420343270
9445450632614273
10103230013032120
112a98a66a179327
12b6b28025b70a0
13457a718c70b00
141b6c505c67db2
15be03b22d8080
hex5de31c41c6b8

103230013032120 has 384 divisors, whose sum is σ = 338033012702400. Its totient is φ = 25207035789312.

The previous prime is 103230013032109. The next prime is 103230013032127. The reversal of 103230013032120 is 21230310032301.

It is a super-2 number, since 2×1032300130321202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103230013032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4136965564 + ... + 4136990516.

Almost surely, 2103230013032120 is an apocalyptic number.

103230013032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103230013032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169016506351200).

103230013032120 is an abundant number, since it is smaller than the sum of its proper divisors (234802999670280).

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

103230013032120 is a wasteful number, since it uses less digits than its factorization.

103230013032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26619 (or 26602 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103230013032120 its reverse (21230310032301), we get a palindrome (124460323064421).

The spelling of 103230013032120 in words is "one hundred three trillion, two hundred thirty billion, thirteen million, thirty-two thousand, one hundred twenty".