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1002002220020 = 2251712723205239
BaseRepresentation
bin11101001010010111111…
…11001000001111110100
310112210100020221202000002
432211023333020033310
5112404100032020040
62044151413010432
7132251356225124
oct16451377101764
93483306852002
101002002220020
11356a4614948a
12142240623a18
137364703c509
14366d631cc84
151b0e7416a15
hexe94bfc83f4

1002002220020 has 48 divisors (see below), whose sum is σ = 2245524664320. Its totient is φ = 374254078464.

The previous prime is 1002002220007. The next prime is 1002002220061. The reversal of 1002002220020 is 200222002001.

It is a junction number, because it is equal to n+sod(n) for n = 1002002219983 and 1002002220010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11559440 + ... + 11645799.

It is an arithmetic number, because the mean of its divisors is an integer number (46781763840).

Almost surely, 21002002220020 is an apocalyptic number.

1002002220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002220020 is an abundant number, since it is smaller than the sum of its proper divisors (1243522444300).

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

1002002220020 is a wasteful number, since it uses less digits than its factorization.

1002002220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23205392 (or 23205390 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 1002002220020 its reverse (200222002001), we get a palindrome (1202224222021).

The spelling of 1002002220020 in words is "one trillion, two billion, two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 2159 2540 4318 8636 10795 21590 43180 23205239 46410478 92820956 116026195 232052390 394489063 464104780 788978126 1577956252 1972445315 2947065353 3944890630 5894130706 7889781260 11788261412 14735326765 29470653530 50100111001 58941307060 100200222002 200400444004 250500555005 501001110010 1002002220020