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2000333031012 = 223383317703949
BaseRepresentation
bin11101000110111101001…
…000111100011001100100
321002020012122111120122000
4131012331020330121210
5230233140223443022
64130535035005300
7264343055135661
oct35067510743144
97066178446560
102000333031012
11701377935a28
12283817599830
13116827558944
146cb60bc0a68
15370773636ac
hex1d1bd23c664

2000333031012 has 96 divisors (see below), whose sum is σ = 5265095472000. Its totient is φ = 656665220736.

The previous prime is 2000333031007. The next prime is 2000333031013. The reversal of 2000333031012 is 2101303330002.

2000333031012 is a `hidden beast` number, since 20 + 0 + 0 + 3 + 330 + 310 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000333031013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2489614 + ... + 3193562.

It is an arithmetic number, because the mean of its divisors is an integer number (54844744500).

Almost surely, 22000333031012 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 2000333031012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632547736000).

2000333031012 is an abundant number, since it is smaller than the sum of its proper divisors (3264762440988).

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

2000333031012 is a wasteful number, since it uses less digits than its factorization.

2000333031012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704362 (or 704354 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2000333031012 its reverse (2101303330002), we get a palindrome (4101636361014).

The spelling of 2000333031012 in words is "two trillion, three hundred thirty-three million, thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 317 332 498 634 747 951 996 1268 1494 1902 2241 2853 2988 3804 4482 5706 8559 8964 11412 17118 26311 34236 52622 78933 105244 157866 236799 315732 473598 703949 710397 947196 1407898 1420794 2111847 2815796 2841588 4223694 6335541 8447388 12671082 19006623 25342164 38013246 58427767 76026492 116855534 175283301 223151833 233711068 350566602 446303666 525849903 669455499 701133204 892607332 1051699806 1338910998 1577549709 2008366497 2103399612 2677821996 3155099418 4016732994 6025099491 6310198836 8033465988 12050198982 18521602139 24100397964 37043204278 55564806417 74086408556 111129612834 166694419251 222259225668 333388838502 500083257753 666777677004 1000166515506 2000333031012