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31434332500 = 225429433577
BaseRepresentation
bin11101010001101000…
…011101100101010100
310000010201020112200001
4131101220131211110
51003334142120000
622235110501044
72161654263154
oct352150354524
9100121215601
1031434332500
111237095229a
126113364784
132c6c5a485c
141742b36764
15c3ea0146a
hex751a1d954

31434332500 has 60 divisors (see below), whose sum is σ = 71111127780. Its totient is φ = 12140128000.

The previous prime is 31434332491. The next prime is 31434332519. The reversal of 31434332500 is 523343413.

It can be written as a sum of positive squares in 10 ways, for example, as 28546129936 + 2888202564 = 168956^2 + 53742^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144289 + ... + 289288.

It is an arithmetic number, because the mean of its divisors is an integer number (1185185463).

Almost surely, 231434332500 is an apocalyptic number.

It is an amenable number.

31434332500 is an abundant number, since it is smaller than the sum of its proper divisors (39676795280).

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

31434332500 is a wasteful number, since it uses less digits than its factorization.

31434332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433630 (or 433613 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 31434332500 its reverse (523343413), we get a palindrome (31957675913).

The spelling of 31434332500 in words is "thirty-one billion, four hundred thirty-four million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 1250 1450 2500 2900 3625 7250 14500 18125 36250 72500 433577 867154 1734308 2167885 4335770 8671540 10839425 12573733 21678850 25147466 43357700 50294932 54197125 62868665 108394250 125737330 216788500 251474660 270985625 314343325 541971250 628686650 1083942500 1257373300 1571716625 3143433250 6286866500 7858583125 15717166250 31434332500