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2082198131 = 13217724747
BaseRepresentation
bin111110000011011…
…1101001001110011
312101010000121212022
41330012331021303
513231020320011
6542340422055
7102412251326
oct17406751163
95333017768
102082198131
1197938a302
124a13a792b
132724c7100
1415a7747bd
15c2bec8db
hex7c1bd273

2082198131 has 12 divisors (see below), whose sum is σ = 2387319912. Its totient is φ = 1808966016.

The previous prime is 2082198113. The next prime is 2082198179. The reversal of 2082198131 is 1318912802.

It is not a de Polignac number, because 2082198131 - 218 = 2081935987 is a prime.

It is a super-2 number, since 2×20821981312 = 8671098113479786322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2082198091 and 2082198100.

It is not an unprimeable number, because it can be changed into a prime (2082198101) 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, 359501 + ... + 365246.

It is an arithmetic number, because the mean of its divisors is an integer number (198943326).

Almost surely, 22082198131 is an apocalyptic number.

2082198131 is a deficient number, since it is larger than the sum of its proper divisors (305121781).

2082198131 is a wasteful number, since it uses less digits than its factorization.

2082198131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724790 (or 724777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 2082198131 is about 45631.1092457766. The cubic root of 2082198131 is about 1276.9503675070.

The spelling of 2082198131 in words is "two billion, eighty-two million, one hundred ninety-eight thousand, one hundred thirty-one".

Divisors: 1 13 17 169 221 2873 724747 9421711 12320699 122482243 160169087 2082198131