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1001433103044 = 2231167619182929
BaseRepresentation
bin11101001001010100001…
…00000111101011000100
310112201212121001121021120
432210222010013223010
5112401413333244134
62044015122513540
7132231305633013
oct16445204075304
93481777047246
101001433103044
11356783974480
12142101b058b0
13735861677ca
14366808d4a7a
151b0b2499649
hexe92a107ac4

1001433103044 has 96 divisors (see below), whose sum is σ = 2591342476800. Its totient is φ = 298450690560.

The previous prime is 1001433103019. The next prime is 1001433103063. The reversal of 1001433103044 is 4403013341001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5382972 + ... + 5565900.

It is an arithmetic number, because the mean of its divisors is an integer number (26993150800).

Almost surely, 21001433103044 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 1001433103044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295671238400).

1001433103044 is an abundant number, since it is smaller than the sum of its proper divisors (1589909373756).

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

1001433103044 is a wasteful number, since it uses less digits than its factorization.

1001433103044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183633 (or 183631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1001433103044 its reverse (4403013341001), we get a palindrome (5404446444045).

The spelling of 1001433103044 in words is "one trillion, one billion, four hundred thirty-three million, one hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 619 737 804 1238 1474 1857 2211 2476 2948 3714 4422 6809 7428 8844 13618 20427 27236 40854 41473 81708 82946 124419 165892 182929 248838 365858 456203 497676 548787 731716 912406 1097574 1368609 1824812 2012219 2195148 2737218 4024438 5474436 6036657 8048876 12073314 12256243 24146628 24512486 36768729 49024972 73537458 113233051 134818673 147074916 226466102 269637346 339699153 404456019 452932204 539274692 679398306 808912038 1245563561 1358796612 1617824076 2491127122 3736690683 4982254244 7473381366 7586614417 14946762732 15173228834 22759843251 30346457668 45519686502 83452758587 91039373004 166905517174 250358275761 333811034348 500716551522 1001433103044