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1002011120220 = 2235111979905193
BaseRepresentation
bin11101001010011001000…
…01000101001001011100
310112210100212200220210010
432211030201011021130
5112404104321321340
62044152331443220
7132251524664205
oct16451441051134
93483325626703
101002011120220
11356a50178320
121422435b6510
1373648b375c6
14366d75985ac
151b0e80c3b80
hexe94c84525c

1002011120220 has 96 divisors (see below), whose sum is σ = 3221777422080. Its totient is φ = 230126952960.

The previous prime is 1002011120167. The next prime is 1002011120237. The reversal of 1002011120220 is 220211102001.

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 = 1002011120196 and 1002011120205.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 39940057 + ... + 39965136.

It is an arithmetic number, because the mean of its divisors is an integer number (33560181480).

Almost surely, 21002011120220 is an apocalyptic number.

1002011120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002011120220 is an abundant number, since it is smaller than the sum of its proper divisors (2219766301860).

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

1002011120220 is a wasteful number, since it uses less digits than its factorization.

1002011120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79905235 (or 79905233 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002011120220 its reverse (220211102001), we get a palindrome (1222222222221).

The spelling of 1002011120220 in words is "one trillion, two billion, eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 79905193 159810386 239715579 319620772 399525965 479431158 799051930 878957123 958862316 1198577895 1518198667 1598103860 1757914246 2397155790 2636871369 3036397334 3515828492 4394785615 4554596001 4794311580 5273742738 6072794668 7590993335 8789571230 9109192002 10547485476 13184356845 15181986670 16700185337 17579142460 18218384004 22772980005 26368713690 30363973340 33400370674 45545960010 50100556011 52737427380 66800741348 83500926685 91091920020 100201112022 167001853370 200402224044 250502780055 334003706740 501005560110 1002011120220