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10021312130985 = 335607331222267
BaseRepresentation
bin1001000111010100010010…
…1111111110111110101001
31022111000202110202200102000
42101311010233332332221
52303142121401142420
633151421030001213
72053005312435051
oct221650457767651
938430673680360
1010021312130985
113214018496511
12115a2451a6209
1357900c62790c
142690697b2561
15125a25e98690
hex91d44bfefa9

10021312130985 has 32 divisors (see below), whose sum is σ = 17815973930880. Its totient is φ = 5344607427264.

The previous prime is 10021312130903. The next prime is 10021312130993. The reversal of 10021312130985 is 58903121312001.

10021312130985 is a `hidden beast` number, since 10 + 0 + 21 + 312 + 1 + 309 + 8 + 5 = 666.

It is not a de Polignac number, because 10021312130985 - 217 = 10021311999913 is a prime.

It is a super-3 number, since 3×100213121309853 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7587822 + ... + 8810088.

It is an arithmetic number, because the mean of its divisors is an integer number (556749185340).

Almost surely, 210021312130985 is an apocalyptic number.

10021312130985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10021312130985 is a deficient number, since it is larger than the sum of its proper divisors (7794661799895).

10021312130985 is a wasteful number, since it uses less digits than its factorization.

10021312130985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283014 (or 1283008 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 10021312130985 its reverse (58903121312001), we get a palindrome (68924433442986).

The spelling of 10021312130985 in words is "ten trillion, twenty-one billion, three hundred twelve million, one hundred thirty thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 135 60733 182199 303665 546597 910995 1222267 1639791 2732985 3666801 6111335 8198955 11000403 18334005 33001209 55002015 165006045 74231941711 222695825133 371159708555 668087475399 1113479125665 2004262426197 3340437376995 10021312130985