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1001041117812 = 2233171035293489
BaseRepresentation
bin11101001000100101011…
…00110100001001110100
310112200212021110200122000
432210102230310021310
5112400113011232222
62043512201135300
7132215506051641
oct16442254641164
93480767420560
101001041117812
113565a268313a
1214201278a530
1373522ba1298
1436644818dc8
151b08cd6a9ac
hexe912b34274

1001041117812 has 96 divisors (see below), whose sum is σ = 2774635718400. Its totient is φ = 311003006976.

The previous prime is 1001041117787. The next prime is 1001041117831. The reversal of 1001041117812 is 2187111401001.

It is a happy number.

It is a super-4 number, since 4×10010411178124 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457637 + ... + 2835852.

It is an arithmetic number, because the mean of its divisors is an integer number (28902455400).

Almost surely, 21001041117812 is an apocalyptic number.

1001041117812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001041117812 is an abundant number, since it is smaller than the sum of its proper divisors (1773594600588).

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

1001041117812 is a wasteful number, since it uses less digits than its factorization.

1001041117812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5293622 (or 5293614 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 27.

Adding to 1001041117812 its reverse (2187111401001), we get a palindrome (3188152518813).

The spelling of 1001041117812 in words is "one trillion, one billion, forty-one million, one hundred seventeen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 103 108 153 204 206 306 309 412 459 612 618 918 927 1236 1751 1836 1854 2781 3502 3708 5253 5562 7004 10506 11124 15759 21012 31518 47277 63036 94554 189108 5293489 10586978 15880467 21173956 31760934 47641401 63521868 89989313 95282802 142924203 179978626 190565604 269967939 285848406 359957252 539935878 545229367 571696812 809903817 1079871756 1090458734 1619807634 1635688101 2180917468 2429711451 3239615268 3271376202 4859422902 4907064303 6542752404 9268899239 9718845804 9814128606 14721192909 18537798478 19628257212 27806697717 29442385818 37075596956 55613395434 58884771636 83420093151 111226790868 166840186302 250260279453 333680372604 500520558906 1001041117812