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34220131000 = 2353112436577
BaseRepresentation
bin11111110111101011…
…011100001010111000
310021022212012202210021
4133313223130022320
51030040323143000
623415344100224
72321002212526
oct376753341270
9107285182707
1034220131000
111357040aa00
126770304674
1332c479ba33
141928b01316
15d5438311a
hex7f7adc2b8

34220131000 has 192 divisors, whose sum is σ = 90077027040. Its totient is φ = 12152448000.

The previous prime is 34220130979. The next prime is 34220131019. The reversal of 34220131000 is 13102243.

It is a happy number.

It is a super-2 number, since 2×342201310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5199712 + ... + 5206288.

Almost surely, 234220131000 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 34220131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45038513520).

34220131000 is an abundant number, since it is smaller than the sum of its proper divisors (55856896040).

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

34220131000 is a wasteful number, since it uses less digits than its factorization.

34220131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34220131000 its reverse (13102243), we get a palindrome (34233233243).

The spelling of 34220131000 in words is "thirty-four billion, two hundred twenty million, one hundred thirty-one thousand".