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31133242100 = 2252311332421
BaseRepresentation
bin11100111111101011…
…111001001011110100
32222100201200120021202
4130333223321023310
51002230102221400
622145153232032
72151340122452
oct347753711364
988321616252
1031133242100
11122269a3654
12604a562618
132c220b465c
141714b5b9d2
15c233794d5
hex73faf92f4

31133242100 has 18 divisors (see below), whose sum is σ = 67559135574. Its totient is φ = 12453296800.

The previous prime is 31133242093. The next prime is 31133242169. The reversal of 31133242100 is 124233113.

It can be written as a sum of positive squares in 3 ways, for example, as 369485284 + 30763756816 = 19222^2 + 175396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 155666111 + ... + 155666310.

Almost surely, 231133242100 is an apocalyptic number.

It is an amenable number.

31133242100 is an abundant number, since it is smaller than the sum of its proper divisors (36425893474).

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

31133242100 is a wasteful number, since it uses less digits than its factorization.

31133242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311332435 (or 311332428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31133242100 its reverse (124233113), we get a palindrome (31257475213).

The spelling of 31133242100 in words is "thirty-one billion, one hundred thirty-three million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 311332421 622664842 1245329684 1556662105 3113324210 6226648420 7783310525 15566621050 31133242100