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1102222936644 = 2231722543124981
BaseRepresentation
bin10000000010100001100…
…110110100101001000100
310220101000210220122112120
4100002201212310221010
5121024323032433034
62202204302445540
7142430053243254
oct20024146645104
93811023818476
101102222936644
113954a5127215
121597502938b0
137cc294aa8bb
143b4c27d5964
151da10bedc49
hex100a19b4a44

1102222936644 has 72 divisors (see below), whose sum is σ = 2733134371968. Its totient is φ = 345656686080.

The previous prime is 1102222936643. The next prime is 1102222936667. The reversal of 1102222936644 is 4466392222011.

It is a super-3 number, since 3×11022229366443 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102222936596 and 1102222936605.

It is not an unprimeable number, because it can be changed into a prime (1102222936643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8756634 + ... + 8881614.

Almost surely, 21102222936644 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 1102222936644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366567185984).

1102222936644 is an abundant number, since it is smaller than the sum of its proper divisors (1630911435324).

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

1102222936644 is a wasteful number, since it uses less digits than its factorization.

1102222936644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127565 (or 127546 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 1102222936644 in words is "one trillion, one hundred two billion, two hundred twenty-two million, nine hundred thirty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 2543 3468 5086 7629 10172 15258 30516 43231 86462 124981 129693 172924 249962 259386 374943 499924 518772 734927 749886 1469854 1499772 2124677 2204781 2939708 4249354 4409562 6374031 8498708 8819124 12748062 25496124 36119509 72239018 108358527 144478036 216717054 317826683 433434108 635653366 953480049 1271306732 1906960098 3813920196 5403053611 10806107222 16209160833 21612214444 32418321666 64836643332 91851911387 183703822774 275555734161 367407645548 551111468322 1102222936644