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2002101100032 = 29311118495567
BaseRepresentation
bin11101001000100110100…
…001100101111000000000
321002101202212102210100210
4131020212201211320000
5230300300340200112
64131430314514120
7264434634363105
oct35104641457000
97071685383323
102002101100032
117020a49703a0
1228402b735940
13116a49948b27
146cc8b944aac
153712c6b0b3c
hex1d226865e00

2002101100032 has 80 divisors (see below), whose sum is σ = 5818606371072. Its totient is φ = 606697297920.

The previous prime is 2002101100007. The next prime is 2002101100039. The reversal of 2002101100032 is 2300011012002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002101099990 and 2002101100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002101100039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59230888 + ... + 59264679.

Almost surely, 22002101100032 is an apocalyptic number.

2002101100032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002101100032 is an abundant number, since it is smaller than the sum of its proper divisors (3816505271040).

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

2002101100032 is a wasteful number, since it uses less digits than its factorization.

2002101100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118495599 (or 118495583 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2002101100032 its reverse (2300011012002), we get a palindrome (4302112112034).

The spelling of 2002101100032 in words is "two trillion, two billion, one hundred one million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 118495567 236991134 355486701 473982268 710973402 947964536 1303451237 1421946804 1895929072 2606902474 2843893608 3791858144 3910353711 5213804948 5687787216 7583716288 7820707422 10427609896 11375574432 15167432576 15641414844 20855219792 22751148864 30334865152 31282829688 41710439584 45502297728 60669730304 62565659376 83420879168 91004595456 125131318752 166841758336 182009190912 250262637504 333683516672 500525275008 667367033344 1001050550016 2002101100032