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10220130312 = 2337217511211
BaseRepresentation
bin10011000010010101…
…01101000000001000
3222101020222102010220
421201022231000020
5131412323132222
64410044510040
7511156450200
oct114112550010
928336872126
1010220130312
114374aa7197
121b9284b320
13c6b4a22b2
146cd4a5400
153ec391b5c
hex2612ad008

10220130312 has 96 divisors (see below), whose sum is σ = 31470210720. Its totient is φ = 2748264960.

The previous prime is 10220130233. The next prime is 10220130317. The reversal of 10220130312 is 21303102201.

It is a super-2 number, since 2×102201303122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10220130291 and 10220130300.

It is not an unprimeable number, because it can be changed into a prime (10220130317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235614 + ... + 275597.

It is an arithmetic number, because the mean of its divisors is an integer number (327814695).

Almost surely, 210220130312 is an apocalyptic number.

10220130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220130312 is an abundant number, since it is smaller than the sum of its proper divisors (21250080408).

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

10220130312 is a wasteful number, since it uses less digits than its factorization.

10220130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511251 (or 511240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10220130312 its reverse (21303102201), we get a palindrome (31523232513).

The spelling of 10220130312 in words is "ten billion, two hundred twenty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4998 6664 9996 19992 511211 1022422 1533633 2044844 3067266 3578477 4089688 6134532 7156954 8690587 10735431 12269064 14313908 17381174 21470862 25049339 26071761 28627816 34762348 42941724 50098678 52143522 60834109 69524696 75148017 85883448 100197356 104287044 121668218 150296034 182502327 200394712 208574088 243336436 300592068 365004654 425838763 486672872 601184136 730009308 851677526 1277516289 1460018616 1703355052 2555032578 3406710104 5110065156 10220130312