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2072131731 = 32892586931
BaseRepresentation
bin111101110000010…
…0011100010010011
312100102002012100200
41323200203202103
513220431203411
6541340550243
7102230554245
oct17340434223
95312065320
102072131731
1197373426a
12499b52383
132703b1267
141592b4095
15c1daee56
hex7b823893

2072131731 has 12 divisors (see below), whose sum is σ = 3026710440. Its totient is φ = 1365899040.

The previous prime is 2072131727. The next prime is 2072131739. The reversal of 2072131731 is 1371312702.

It is not a de Polignac number, because 2072131731 - 22 = 2072131727 is a prime.

It is a super-2 number, since 2×20721317312 = 8587459821234112722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2072131695 and 2072131704.

It is not an unprimeable number, because it can be changed into a prime (2072131739) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1292665 + ... + 1294266.

It is an arithmetic number, because the mean of its divisors is an integer number (252225870).

Almost surely, 22072131731 is an apocalyptic number.

2072131731 is a deficient number, since it is larger than the sum of its proper divisors (954578709).

2072131731 is a wasteful number, since it uses less digits than its factorization.

2072131731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587026 (or 2587023 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2072131731 is about 45520.6736659290. The cubic root of 2072131731 is about 1274.8892342068.

The spelling of 2072131731 in words is "two billion, seventy-two million, one hundred thirty-one thousand, seven hundred thirty-one".

Divisors: 1 3 9 89 267 801 2586931 7760793 23282379 230236859 690710577 2072131731