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31243432400 = 245278108581
BaseRepresentation
bin11101000110010000…
…001111000111010000
32222122102000210221222
4131012100033013100
51002441304314100
622204131104212
72154145536125
oct350620170720
988572023858
1031243432400
1112283115214
12607b442068
132c3bb8550b
14172564274c
15c2cd93485
hex74640f1d0

31243432400 has 30 divisors (see below), whose sum is σ = 75062347302. Its totient is φ = 12497372800.

The previous prime is 31243432397. The next prime is 31243432403. The reversal of 31243432400 is 423434213.

It is an interprime number because it is at equal distance from previous prime (31243432397) and next prime (31243432403).

It can be written as a sum of positive squares in 3 ways, for example, as 44568976 + 31198863424 = 6676^2 + 176632^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31243432400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243432403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39053891 + ... + 39054690.

Almost surely, 231243432400 is an apocalyptic number.

It is an amenable number.

31243432400 is an abundant number, since it is smaller than the sum of its proper divisors (43818914902).

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

31243432400 is a wasteful number, since it uses less digits than its factorization.

31243432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78108599 (or 78108588 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 31243432400 its reverse (423434213), we get a palindrome (31666866613).

The spelling of 31243432400 in words is "thirty-one billion, two hundred forty-three million, four hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 78108581 156217162 312434324 390542905 624868648 781085810 1249737296 1562171620 1952714525 3124343240 3905429050 6248686480 7810858100 15621716200 31243432400