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31253142420 = 22325173628569
BaseRepresentation
bin11101000110110101…
…010001101110010100
32222200002022010121100
4131012311101232110
51003001301024140
622205115150100
72154324220203
oct350665215624
988602263540
1031253142420
1112288647525
126082745330
132c40ba50a6
141726a4d23a
15c2db60530
hex746d51b94

31253142420 has 36 divisors (see below), whose sum is σ = 94801199220. Its totient is φ = 8334171264.

The previous prime is 31253142409. The next prime is 31253142439. The reversal of 31253142420 is 2424135213.

It can be written as a sum of positive squares in 2 ways, for example, as 6293566224 + 24959576196 = 79332^2 + 157986^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×312531424202 (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 11 ways as a sum of consecutive naturals, for example, 86814105 + ... + 86814464.

It is an arithmetic number, because the mean of its divisors is an integer number (2633366645).

Almost surely, 231253142420 is an apocalyptic number.

31253142420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31253142420 is an abundant number, since it is smaller than the sum of its proper divisors (63548056800).

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

31253142420 is a wasteful number, since it uses less digits than its factorization.

31253142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173628584 (or 173628579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31253142420 its reverse (2424135213), we get a palindrome (33677277633).

The spelling of 31253142420 in words is "thirty-one billion, two hundred fifty-three million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 173628569 347257138 520885707 694514276 868142845 1041771414 1562657121 1736285690 2083542828 2604428535 3125314242 3472571380 5208857070 6250628484 7813285605 10417714140 15626571210 31253142420