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201110100000012 = 2232719928283141793
BaseRepresentation
bin101101101110100010011000…
…000100100011110100001100
3222101001221022122121222122200
4231232202120010203310030
5202324441441100000022
61551420412101041500
760234503520526320
oct5556423004436414
9871057278558580
10201110100000012
115909735057a895
121a6805996b6290
13882a7a7698108
143793ad0641980
15183b5065a2bac
hexb6e898123d0c

201110100000012 has 144 divisors (see below), whose sum is σ = 583929017817600. Its totient is φ = 57168860120064.

The previous prime is 201110099999993. The next prime is 201110100000013. The reversal of 201110100000012 is 210000001011102.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (201110100000013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1418264988 + ... + 1418406780.

Almost surely, 2201110100000012 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 201110100000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291964508908800).

201110100000012 is an abundant number, since it is smaller than the sum of its proper divisors (382818917817588).

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

201110100000012 is a wasteful number, since it uses less digits than its factorization.

201110100000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170292 (or 170287 counting only the distinct ones).

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

Adding to 201110100000012 its reverse (210000001011102), we get a palindrome (411110101011114).

The spelling of 201110100000012 in words is "two hundred one trillion, one hundred ten billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 25074 28283 50148 56566 84849 113132 141793 169698 197981 254547 283586 339396 395962 425379 509094 567172 593943 791924 850758 992551 1018188 1187886 1276137 1701516 1781829 1985102 2375772 2552274 2977653 3563658 3970204 5104548 5628317 5955306 7127316 8932959 11256634 11910612 16884951 17865918 22513268 28216807 33769902 35731836 39398219 50654853 56433614 67539804 78796438 84650421 101309706 112867228 118194657 157592876 169300842 197517649 202619412 236389314 253951263 338601684 354583971 395035298 472778628 507902526 592552947 709167942 790070596 1015805052 1185105894 1418335884 1777658841 2370211788 3555317682 4010331419 7110635364 8020662838 12030994257 16041325676 24061988514 28072319933 36092982771 48123977028 56144639866 72185965542 84216959799 112289279732 144371931084 168433919598 252650879397 336867839196 505301758794 798055952381 1010603517588 1596111904762 2394167857143 3192223809524 4788335714286 5586391666667 7182503571429 9576671428572 11172783333334 14365007142858 16759175000001 22345566666668 28730014285716 33518350000002 50277525000003 67036700000004 100555050000006 201110100000012