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31231300100 = 2252711131718353
BaseRepresentation
bin11101000101100001…
…111101001000000100
32222121120012102120112
4131011201331020010
51002430203100400
622203015052152
72153640446030
oct350541751004
988546172515
1031231300100
1112277289020
126077371058
132c394c8240
141723ba51c0
15c2bc98835
hex74587d204

31231300100 has 288 divisors, whose sum is σ = 96352333056. Its totient is φ = 8456601600.

The previous prime is 31231300081. The next prime is 31231300129. The reversal of 31231300100 is 100313213.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1692524 + ... + 1710876.

It is an arithmetic number, because the mean of its divisors is an integer number (334556712).

Almost surely, 231231300100 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 31231300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48176166528).

31231300100 is an abundant number, since it is smaller than the sum of its proper divisors (65121032956).

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

31231300100 is a wasteful number, since it uses less digits than its factorization.

31231300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18408 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31231300100 its reverse (100313213), we get a palindrome (31331613313).

The spelling of 31231300100 in words is "thirty-one billion, two hundred thirty-one million, three hundred thousand, one hundred".