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10021011000012 = 2233597691204481
BaseRepresentation
bin1001000111010011001011…
…0011010000101011001100
31022110222222111010122101000
42101310302303100223030
52303141012304000022
633151331111420300
72052664665035145
oct221646263205314
938428874118330
1010021011000012
11321398350a341
12115a180384690
13578c921220cc
1426903b7c6acc
15125a098146ac
hex91d32cd0acc

10021011000012 has 96 divisors (see below), whose sum is σ = 26424309139200. Its totient is φ = 3283278105600.

The previous prime is 10021010999939. The next prime is 10021011000031. The reversal of 10021011000012 is 21000011012001.

It is a happy number.

It is a super-2 number, since 2×100210110000122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021010999958 and 10021011000003.

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, 48904812 + ... + 49109292.

It is an arithmetic number, because the mean of its divisors is an integer number (275253220200).

Almost surely, 210021011000012 is an apocalyptic number.

10021011000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021011000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13212154569600).

10021011000012 is an abundant number, since it is smaller than the sum of its proper divisors (16403298139188).

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

10021011000012 is a wasteful number, since it uses less digits than its factorization.

10021011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212244 (or 212236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10021011000012 its reverse (21000011012001), we get a palindrome (31021022012013).

The spelling of 10021011000012 in words is "ten trillion, twenty-one billion, eleven million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 7691 15382 23073 30764 46146 69219 92292 138438 204481 207657 276876 408962 415314 453769 613443 817924 830628 907538 1226886 1361307 1815076 1840329 2453772 2722614 3680658 4083921 5445228 5520987 7361316 8167842 11041974 12064379 12251763 16335684 22083948 24128758 24503526 36193137 48257516 49007052 72386274 108579411 144772548 217158822 325738233 434317644 651476466 1302952932 1572663371 3145326742 4717990113 6290653484 9435980226 14153970339 18871960452 28307940678 42461911017 56615881356 84923822034 92787138889 169847644068 185574277778 278361416667 371148555556 556722833334 835084250001 1113445666668 1670168500002 2505252750003 3340337000004 5010505500006 10021011000012