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1110010221972 = 2232177717351501
BaseRepresentation
bin10000001001110001110…
…000111101010110010100
310221010010112001201202200
4100021301300331112110
5121141300104100342
62205533123204500
7143124042132111
oct20116160752624
93833115051680
101110010221972
11398830917a13
1215b164216730
138089a934342
143ba20b2b908
151dd196cc94c
hex10271c3d594

1110010221972 has 36 divisors (see below), whose sum is σ = 2807438320596. Its totient is φ = 369795168000.

The previous prime is 1110010221959. The next prime is 1110010221973. The reversal of 1110010221972 is 2791220100111.

It can be written as a sum of positive squares in 2 ways, for example, as 730706974596 + 379303247376 = 854814^2 + 615876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110010221973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8611779 + ... + 8739722.

Almost surely, 21110010221972 is an apocalyptic number.

1110010221972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110010221972 is an abundant number, since it is smaller than the sum of its proper divisors (1697428098624).

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

1110010221972 is a wasteful number, since it uses less digits than its factorization.

1110010221972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17353288 (or 17353283 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 1110010221972 in words is "one trillion, one hundred ten billion, ten million, two hundred twenty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1777 3554 5331 7108 10662 15993 21324 31986 63972 17351501 34703002 52054503 69406004 104109006 156163509 208218012 312327018 624654036 30833617277 61667234554 92500851831 123334469108 185001703662 277502555493 370003407324 555005110986 1110010221972