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2221021010112 = 26373967163871
BaseRepresentation
bin100000010100011111001…
…010110001100011000000
321212022211202212111021120
4200110133022301203000
5242342122334310422
64420153432152240
7316314654043602
oct40243712614300
97768752774246
102221021010112
11786a25505013
122ba547538680
13131597943468
14796d86b3172
153cb91b4e45c
hex2051f2b18c0

2221021010112 has 112 divisors (see below), whose sum is σ = 5963147384832. Its totient is φ = 729439119360.

The previous prime is 2221021010099. The next prime is 2221021010123. The reversal of 2221021010112 is 2110101201222.

It is a super-3 number, since 3×22210210101123 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221021010091 and 2221021010100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13471537 + ... + 13635407.

Almost surely, 22221021010112 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 2221021010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981573692416).

2221021010112 is an abundant number, since it is smaller than the sum of its proper divisors (3742126374720).

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

2221021010112 is a wasteful number, since it uses less digits than its factorization.

2221021010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164926 (or 164916 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2221021010112 its reverse (2110101201222), we get a palindrome (4331122211334).

The spelling of 2221021010112 in words is "two trillion, two hundred twenty-one billion, twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 967 1168 1752 1934 2336 2901 3504 3868 4672 5802 7008 7736 11604 14016 15472 23208 30944 46416 61888 70591 92832 141182 163871 185664 211773 282364 327742 423546 491613 564728 655484 847092 983226 1129456 1310968 1694184 1966452 2258912 2621936 3388368 3932904 4517824 5243872 6776736 7865808 10487744 11962583 13553472 15731616 23925166 31463232 35887749 47850332 71775498 95700664 143550996 158463257 191401328 287101992 316926514 382802656 475389771 574203984 633853028 765605312 950779542 1148407968 1267706056 1901559084 2296815936 2535412112 3803118168 5070824224 7606236336 10141648448 11567817761 15212472672 23135635522 30424945344 34703453283 46271271044 69406906566 92542542088 138813813132 185085084176 277627626264 370170168352 555255252528 740340336704 1110510505056 2221021010112