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323012121432 = 2337111323727953
BaseRepresentation
bin1001011001101010000…
…01011101001101011000
31010212202021021220210220
410230311001131031120
520243012100341212
6404220102440040
732223353505360
oct4546501351530
91125667256726
10323012121432
11114a96a15780
1252728133020
13245c9573100
14118c34a79a0
158607ab538c
hex4b3505d358

323012121432 has 384 divisors, whose sum is σ = 1119698588160. Its totient is φ = 75349647360.

The previous prime is 323012121427. The next prime is 323012121457. The reversal of 323012121432 is 234121210323.

It is a super-2 number, since 2×3230121214322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11541568 + ... + 11569520.

It is an arithmetic number, because the mean of its divisors is an integer number (2915881740).

Almost surely, 2323012121432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323012121432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559849294080).

323012121432 is an abundant number, since it is smaller than the sum of its proper divisors (796686466728).

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

323012121432 is a wasteful number, since it uses less digits than its factorization.

323012121432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28043 (or 28026 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 323012121432 its reverse (234121210323), we get a palindrome (557133331755).

It can be divided in two parts, 323012 and 121432, that added together give a palindrome (444444).

The spelling of 323012121432 in words is "three hundred twenty-three billion, twelve million, one hundred twenty-one thousand, four hundred thirty-two".