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10286032212 = 2234109291257
BaseRepresentation
bin10011001010001100…
…00110010101010100
3222112211222120120000
421211012012111110
5132031211012322
64420401211300
7512616555051
oct114506062524
928484876500
1010286032212
1143a9219275
121bb0930b30
13c7c0376c1
146d813c028
1540305d3ac
hex265186554

10286032212 has 60 divisors (see below), whose sum is σ = 27136507860. Its totient is φ = 3397209984.

The previous prime is 10286032157. The next prime is 10286032247. The reversal of 10286032212 is 21223068201.

10286032212 is a `hidden beast` number, since 1 + 0 + 28 + 603 + 22 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5819248656 + 4466783556 = 76284^2 + 66834^2 .

It is a super-2 number, since 2×102860322122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110313 + ... + 180944.

It is an arithmetic number, because the mean of its divisors is an integer number (452275131).

Almost surely, 210286032212 is an apocalyptic number.

10286032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10286032212 is an abundant number, since it is smaller than the sum of its proper divisors (16850475648).

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

10286032212 is a wasteful number, since it uses less digits than its factorization.

10286032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291382 (or 291371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10286032212 in words is "ten billion, two hundred eighty-six million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 17658 35316 291257 582514 873771 1165028 1747542 2621313 3495084 5242626 7863939 10485252 15727878 23591817 31455756 31747013 47183634 63494026 94367268 95241039 126988052 190482078 285723117 380964156 571446234 857169351 1142892468 1714338702 2571508053 3428677404 5143016106 10286032212