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1002013221220 = 225119787465373
BaseRepresentation
bin11101001010011001010…
…01000110000101100100
310112210101000122122210221
432211030221012011210
5112404110341034340
62044152444454124
7132251551564444
oct16451451060544
93483330578727
101002013221220
11356a51382890
1214224424a344
13736493c19bb
14366d7984124
151b0e838b44a
hexe94ca46164

1002013221220 has 48 divisors (see below), whose sum is σ = 2295760678848. Its totient is φ = 364330431360.

The previous prime is 1002013221211. The next prime is 1002013221239. The reversal of 1002013221220 is 221223102001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002013221194 and 1002013221203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920454 + ... + 2385826.

It is an arithmetic number, because the mean of its divisors is an integer number (47828347476).

Almost surely, 21002013221220 is an apocalyptic number.

1002013221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002013221220 is an abundant number, since it is smaller than the sum of its proper divisors (1293747457628).

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

1002013221220 is a wasteful number, since it uses less digits than its factorization.

1002013221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475180 (or 475178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1002013221220 its reverse (221223102001), we get a palindrome (1223236323221).

The spelling of 1002013221220 in words is "one trillion, two billion, thirteen million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 9787 19574 39148 48935 97870 107657 195740 215314 430628 465373 538285 930746 1076570 1861492 2153140 2326865 4653730 5119103 9307460 10238206 20476412 25595515 51191030 102382060 4554605551 9109211102 18218422204 22773027755 45546055510 50100661061 91092111020 100201322122 200402644244 250503305305 501006610610 1002013221220