Search a number
-
+
101230001100 = 22345213195401
BaseRepresentation
bin101111001000111000…
…1110011101111001100
3100200021220002212120000
41132101301303233030
53124304340013400
6114300542124300
710212400545354
oct1362161635714
9320256085500
10101230001100
1139a27773138
1217751880690
1397135a9547
144c8455db64
1529771ee600
hex1791c73bcc

101230001100 has 180 divisors, whose sum is σ = 330656081448. Its totient is φ = 26788320000.

The previous prime is 101230001069. The next prime is 101230001107. The reversal of 101230001100 is 1100032101.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101230001107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1013400 + ... + 1108800.

Almost surely, 2101230001100 is an apocalyptic number.

101230001100 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 101230001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165328040724).

101230001100 is an abundant number, since it is smaller than the sum of its proper divisors (229426080348).

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

101230001100 is a wasteful number, since it uses less digits than its factorization.

101230001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95558 (or 95542 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101230001100 its reverse (1100032101), we get a palindrome (102330033201).

The spelling of 101230001100 in words is "one hundred one billion, two hundred thirty million, one thousand, one hundred".