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1002012201999 = 33235995328697
BaseRepresentation
bin11101001010011001001…
…01001101010000001111
310112210100221201212201000
432211030211031100033
5112404110110430444
62044152410551343
7132251540121114
oct16451445152017
93483327655630
101002012201999
11356a50847056
12142243a38553
1373649125b03
14366d779a90b
151b0e8239469
hexe94c94d40f

1002012201999 has 64 divisors (see below), whose sum is σ = 1576966579200. Its totient is φ = 627453421056.

The previous prime is 1002012201977. The next prime is 1002012202003. The reversal of 1002012201999 is 9991022102001.

It is not a de Polignac number, because 1002012201999 - 236 = 933292725263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012201919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34902619 + ... + 34931315.

It is an arithmetic number, because the mean of its divisors is an integer number (24640102800).

Almost surely, 21002012201999 is an apocalyptic number.

1002012201999 is a deficient number, since it is larger than the sum of its proper divisors (574954377201).

1002012201999 is a wasteful number, since it uses less digits than its factorization.

1002012201999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29741 (or 29735 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 1002012201999 in words is "one trillion, two billion, twelve million, two hundred one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 23 27 59 69 177 207 531 621 953 1357 1593 2859 4071 8577 12213 21919 25731 28697 36639 56227 65757 86091 168681 197271 258273 506043 591813 660031 774819 1293221 1518129 1693123 1980093 3879663 5079369 5940279 11638989 15238107 17820837 27348241 34916967 38941829 45714321 82044723 116825487 246134169 350476461 629009543 738402507 1051429383 1613546219 1887028629 4840638657 5661085887 14521915971 16983257661 37111563037 43565747913 111334689111 334004067333 1002012201999