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2002101000 = 23353667367
BaseRepresentation
bin111011101010101…
…1010001100001000
312011112022021020220
41313111122030020
513100014213000
6530355550040
7100420402104
oct16725321410
95145267226
102002101000
11938152129
1247a5bb320
1325ba31763
1414dc84904
15bab7a1a0
hex7755a308

2002101000 has 64 divisors (see below), whose sum is σ = 6246564480. Its totient is φ = 533892800.

The previous prime is 2002100983. The next prime is 2002101019. The reversal of 2002101000 is 1012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2002101000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330684 + ... + 336683.

It is an arithmetic number, because the mean of its divisors is an integer number (97602570).

Almost surely, 22002101000 is an apocalyptic number.

2002101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101000 is an abundant number, since it is smaller than the sum of its proper divisors (4244463480).

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

2002101000 is a wasteful number, since it uses less digits than its factorization.

2002101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667391 (or 667377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2002101000 is about 44744.8432783041. The cubic root of 2002101000 is about 1260.3620778519.

Adding to 2002101000 its reverse (1012002), we get a palindrome (2003113002).

The spelling of 2002101000 in words is "two billion, two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 667367 1334734 2002101 2669468 3336835 4004202 5338936 6673670 8008404 10010505 13347340 16016808 16684175 20021010 26694680 33368350 40042020 50052525 66736700 80084040 83420875 100105050 133473400 166841750 200210100 250262625 333683500 400420200 500525250 667367000 1001050500 2002101000