Search a number
-
+
12343422101010 = 2357211131937101827
BaseRepresentation
bin1011001110011110110101…
…0010100010011000010010
31121201000112022100102002220
42303213231102202120102
53104213312024213020
642130253445321510
72412532335502500
oct263475522423022
947630468312086
1012343422101010
113a298a7a902a0
1214742a3106296
136b6c97564390
143095d39ad670
15166132737240
hexb39ed4a2612

12343422101010 has 1536 divisors, whose sum is σ = 44254835896320. Its totient is φ = 2158119936000.

The previous prime is 12343422100987. The next prime is 12343422101069. The reversal of 12343422101010 is 1010122434321.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 14925540217 + ... + 14925541043.

It is an arithmetic number, because the mean of its divisors is an integer number (28811742120).

Almost surely, 212343422101010 is an apocalyptic number.

12343422101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12343422101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22127417948160).

12343422101010 is an abundant number, since it is smaller than the sum of its proper divisors (31911413795310).

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

12343422101010 is a wasteful number, since it uses less digits than its factorization.

12343422101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12343422101010 its reverse (1010122434321), we get a palindrome (13353544535331).

The spelling of 12343422101010 in words is "twelve trillion, three hundred forty-three billion, four hundred twenty-two million, one hundred one thousand, ten".