Search a number
-
+
100312434420 = 2235111011679011
BaseRepresentation
bin101110101101100010…
…1100100011011110100
3100120220221112122200220
41131123011210123310
53120414440400140
6114025523334340
710150556424012
oct1353305443364
9316827478626
10100312434420
11395a6832770
12175365213b0
1395c8472193
144bd874d8b2
1529218a2bd0
hex175b1646f4

100312434420 has 192 divisors, whose sum is σ = 311330138112. Its totient is φ = 23930560000.

The previous prime is 100312434403. The next prime is 100312434433. The reversal of 100312434420 is 24434213001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11127715 + ... + 11136725.

It is an arithmetic number, because the mean of its divisors is an integer number (1621511136).

Almost surely, 2100312434420 is an apocalyptic number.

100312434420 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 100312434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155665069056).

100312434420 is an abundant number, since it is smaller than the sum of its proper divisors (211017703692).

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

100312434420 is a wasteful number, since it uses less digits than its factorization.

100312434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100312434420 its reverse (24434213001), we get a palindrome (124746647421).

The spelling of 100312434420 in words is "one hundred billion, three hundred twelve million, four hundred thirty-four thousand, four hundred twenty".