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2002010011002 = 2332511186312451
BaseRepresentation
bin11101001000100001000…
…110000111010101111010
321002101112112000222201000
4131020201012013111322
5230300104030323002
64131413302305430
7264432450213321
oct35104106072572
97071475028630
102002010011002
11702058505901
12284005128276
13116a33b052b1
146cc7d7d30b8
15371246bb61c
hex1d22118757a

2002010011002 has 64 divisors (see below), whose sum is σ = 4467371166720. Its totient is φ = 664568550000.

The previous prime is 2002010010899. The next prime is 2002010011003. The reversal of 2002010011002 is 2001100102002.

It is a super-2 number, since 2×20020100110022 (a number of 25 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 (2002010011003) 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 31 ways as a sum of consecutive naturals, for example, 160784877 + ... + 160797327.

It is an arithmetic number, because the mean of its divisors is an integer number (69802674480).

Almost surely, 22002010011002 is an apocalyptic number.

2002010011002 is an abundant number, since it is smaller than the sum of its proper divisors (2465361155718).

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

2002010011002 is a wasteful number, since it uses less digits than its factorization.

2002010011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24576 (or 24570 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2002010011002 its reverse (2001100102002), we get a palindrome (4003110113004).

The spelling of 2002010011002 in words is "two trillion, two billion, ten million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 27 54 251 502 753 1506 2259 4518 6777 11863 12451 13554 23726 24902 35589 37353 71178 74706 106767 112059 213534 224118 320301 336177 640602 672354 2977613 3125201 5955226 6250402 8932839 9375603 17865678 18751206 26798517 28126809 53597034 56253618 80395551 84380427 147706213 160791102 168760854 295412426 443118639 886237278 1329355917 2658711834 3988067751 7976135502 37074259463 74148518926 111222778389 222445556778 333668335167 667336670334 1001005005501 2002010011002