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20031001002 = 2337312014231
BaseRepresentation
bin10010101001111100…
…001101000110101010
31220200222212021122000
4102221330031012222
5312010414013002
613111353511430
71306246461555
oct225174150652
956628767560
1020031001002
118549a83591
123a70412576
131b72c4041c
14d8047569c
157c384161c
hex4a9f0d1aa

20031001002 has 64 divisors (see below), whose sum is σ = 45171352320. Its totient is φ = 6578496000.

The previous prime is 20031000989. The next prime is 20031001007. The reversal of 20031001002 is 20010013002.

It is a happy number.

It is a super-2 number, since 2×200310010022 (a number of 21 digits) contains 22 as substring.

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 (20031001007) by changing a digit.

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, 4732227 + ... + 4736457.

It is an arithmetic number, because the mean of its divisors is an integer number (705802380).

Almost surely, 220031001002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20031001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585676160).

20031001002 is an abundant number, since it is smaller than the sum of its proper divisors (25140351318).

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

20031001002 is a wasteful number, since it uses less digits than its factorization.

20031001002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20031001002 its reverse (20010013002), we get a palindrome (40041014004).

The spelling of 20031001002 in words is "twenty billion, thirty-one million, one thousand, two".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1201 1314 1971 2402 3603 3942 4231 7206 8462 10809 12693 21618 25386 32427 38079 64854 76158 87673 114237 175346 228474 263019 308863 526038 617726 789057 926589 1578114 1853178 2367171 2779767 4734342 5081431 5559534 8339301 10162862 15244293 16678602 30488586 45732879 91465758 137198637 274397274 370944463 741888926 1112833389 2225666778 3338500167 6677000334 10015500501 20031001002