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31212111300 = 223521929316091
BaseRepresentation
bin11101000100011000…
…110000010111000100
32222120020002112111020
4131010120300113010
51002410300030200
622201051511140
72153315366016
oct350430602704
988506075436
1031212111300
1112267472207
126070a584b0
132c3553a116
14172140c1b6
15c2a257ea0
hex7446305c4

31212111300 has 288 divisors, whose sum is σ = 101526835200. Its totient is φ = 7366464000.

The previous prime is 31212111283. The next prime is 31212111341. The reversal of 31212111300 is 311121213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31212111300.

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, 5121255 + ... + 5127345.

Almost surely, 231212111300 is an apocalyptic number.

31212111300 is a gapful number since it is divisible by the number (30) 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 31212111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50763417600).

31212111300 is an abundant number, since it is smaller than the sum of its proper divisors (70314723900).

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

31212111300 is a wasteful number, since it uses less digits than its factorization.

31212111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31212111300 its reverse (311121213), we get a palindrome (31523232513).

The spelling of 31212111300 in words is "thirty-one billion, two hundred twelve million, one hundred eleven thousand, three hundred".