Search a number
-
+
2002032211020 = 2235233494156871
BaseRepresentation
bin11101001000100010011…
…010110011010001001100
321002101121001210212101220
4131020202122303101030
5230300130221223040
64131415414203340
7264433140004362
oct35104232632114
97071531725356
102002032211020
11702069a99026
12284010653550
13116a385a8bba
146cc82731632
15371266042d0
hex1d2226b344c

2002032211020 has 96 divisors (see below), whose sum is σ = 5866177766400. Its totient is φ = 509199947520.

The previous prime is 2002032210991. The next prime is 2002032211097. The reversal of 2002032211020 is 201122302002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1596816 + ... + 2560055.

It is an arithmetic number, because the mean of its divisors is an integer number (61106018400).

Almost surely, 22002032211020 is an apocalyptic number.

2002032211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002032211020 is an abundant number, since it is smaller than the sum of its proper divisors (3864145555380).

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

2002032211020 is a wasteful number, since it uses less digits than its factorization.

2002032211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157255 (or 4157253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002032211020 its reverse (201122302002), we get a palindrome (2203154513022).

The spelling of 2002032211020 in words is "two trillion, two billion, thirty-two million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 349 460 690 698 1047 1380 1396 1745 2094 3490 4188 5235 6980 8027 10470 16054 20940 24081 32108 40135 48162 80270 96324 120405 160540 240810 481620 4156871 8313742 12470613 16627484 20784355 24941226 41568710 49882452 62353065 83137420 95608033 124706130 191216066 249412260 286824099 382432132 478040165 573648198 956080330 1147296396 1434120495 1450747979 1912160660 2868240990 2901495958 4352243937 5736481980 5802991916 7253739895 8704487874 14507479790 17408975748 21761219685 29014959580 33367203517 43522439370 66734407034 87044878740 100101610551 133468814068 166836017585 200203221102 333672035170 400406442204 500508052755 667344070340 1001016105510 2002032211020