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31640227129 = 72254112
BaseRepresentation
bin11101011101111001…
…111000110100111001
310000200001200002000001
4131131321320310321
51004244344232004
622311343513001
72200034331100
oct353571706471
9100601602001
1031640227129
11124670a0a45
1261702b8761
132ca3143bb4
141762211037
15c52b221a4
hex75de78d39

31640227129 has 9 divisors (see below), whose sum is σ = 36807426981. Its totient is φ = 27119127420.

The previous prime is 31640227111. The next prime is 31640227153. The reversal of 31640227129 is 92172204613.

The square root of 31640227129 is 177877.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 31640227129 - 221 = 31638129977 is a prime.

It is a super-3 number, since 3×316402271293 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31640224129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1232434 + ... + 1257844.

It is an arithmetic number, because the mean of its divisors is an integer number (4089714109).

Almost surely, 231640227129 is an apocalyptic number.

31640227129 is the 177877-th square number.

31640227129 is the 88939-th centered octagonal number.

It is an amenable number.

31640227129 is a deficient number, since it is larger than the sum of its proper divisors (5167199852).

31640227129 is an frugal number, since it uses more digits than its factorization.

31640227129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50836 (or 25418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 31640227129 in words is "thirty-one billion, six hundred forty million, two hundred twenty-seven thousand, one hundred twenty-nine".

Divisors: 1 7 49 25411 177877 1245139 645718921 4520032447 31640227129