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221011210011012 = 2231933724943115319
BaseRepresentation
bin110010010000001000101110…
…101010100000000110000100
31001222112110120020010112220020
4302100020232222200012010
5212432021424230323022
62102015052003335140
764360350546532341
oct6220105652400604
91058473506115806
10221011210011012
116446a367334493
12209555530814b0
139642363116955
143c80ddd0257c8
151a8401e8b135c
hexc9022eaa0184

221011210011012 has 96 divisors (see below), whose sum is σ = 544471884902400. Its totient is φ = 69582519562752.

The previous prime is 221011210010977. The next prime is 221011210011019. The reversal of 221011210011012 is 210110012110122.

It is a happy number.

It is a super-2 number, since 2×2210112100110122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221011210010982 and 221011210011000.

It is not an unprimeable number, because it can be changed into a prime (221011210011019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916462689 + ... + 1916578007.

It is an arithmetic number, because the mean of its divisors is an integer number (5671582134400).

Almost surely, 2221011210011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221011210011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272235942451200).

221011210011012 is an abundant number, since it is smaller than the sum of its proper divisors (323460674891388).

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

221011210011012 is a wasteful number, since it uses less digits than its factorization.

221011210011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140625 (or 140623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221011210011012 its reverse (210110012110122), we get a palindrome (431121222121134).

The spelling of 221011210011012 in words is "two hundred twenty-one trillion, eleven billion, two hundred ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 337 674 1011 1348 2022 4044 6403 12806 19209 24943 25612 38418 49886 74829 76836 99772 115319 149658 230638 299316 345957 461276 473917 691914 947834 1383828 1421751 1895668 2191061 2843502 4382122 5687004 6573183 8405791 8764244 13146366 16811582 25217373 26292732 33623164 38862503 50434746 77725006 100869492 116587509 155450012 159710029 233175018 319420058 466350036 479130087 638840116 738387557 958260174 1476775114 1916520348 2215162671 2876401817 2953550228 4430325342 5752803634 8629205451 8860650684 11505607268 17258410902 34516821804 54651634523 109303269046 163954903569 218606538092 327909807138 655819614276 969347412329 1938694824658 2908042236987 3877389649316 5816084473974 11632168947948 18417600834251 36835201668502 55252802502753 73670403337004 110505605005506 221011210011012