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8105000202 = 23213198920483
BaseRepresentation
bin1111000110001100…
…00111110100001010
3202220211222200002200
413203012013310022
5113044340001302
63420130141030
7404564236125
oct74306076412
922824880080
108105000202
11348a074682
1216a2421776
139c2217810
1456c5db3bc
1532683b81c
hex1e3187d0a

8105000202 has 96 divisors (see below), whose sum is σ = 20131675200. Its totient is φ = 2335931136.

The previous prime is 8105000161. The next prime is 8105000203. The reversal of 8105000202 is 2020005018.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8105000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385453 + ... + 405935.

It is an arithmetic number, because the mean of its divisors is an integer number (209704950).

Almost surely, 28105000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8105000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065837600).

8105000202 is an abundant number, since it is smaller than the sum of its proper divisors (12026674998).

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

8105000202 is a wasteful number, since it uses less digits than its factorization.

8105000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20612 (or 20609 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8105000202 is about 90027.7746142822. The cubic root of 8105000202 is about 2008.7120121526.

The spelling of 8105000202 in words is "eight billion, one hundred five million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 89 114 117 171 178 234 247 267 342 494 534 741 801 1157 1482 1602 1691 2223 2314 3382 3471 4446 5073 6942 10146 10413 15219 20483 20826 21983 30438 40966 43966 61449 65949 122898 131898 184347 197847 266279 368694 389177 395694 532558 778354 798837 1167531 1597674 1822987 2335062 2396511 3502593 3645974 4793022 5059301 5468961 7005186 10118602 10937922 15177903 16406883 23698831 30355806 32813766 34636753 45533709 47397662 69273506 71096493 91067418 103910259 142192986 207820518 213289479 311730777 426578958 450277789 623461554 900555578 1350833367 2701666734 4052500101 8105000202