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1001012122220 = 2251131473122893
BaseRepresentation
bin11101001000100001111…
…10001101001001101100
310112200210020220120011012
432210100332031021230
5112400033100402340
62043505243444352
7132215004435455
oct16442076151154
93480706816135
101001012122220
11356588279340
12142004b266b8
1373519b8b526
1436640a2c12c
151b08a53e565
hexe910f8d26c

1001012122220 has 96 divisors (see below), whose sum is σ = 2417569652736. Its totient is φ = 344767276800.

The previous prime is 1001012122219. The next prime is 1001012122237. The reversal of 1001012122220 is 222212101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001012122195 and 1001012122204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240907 + ... + 1881986.

It is an arithmetic number, because the mean of its divisors is an integer number (25183017216).

Almost surely, 21001012122220 is an apocalyptic number.

1001012122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012122220 is an abundant number, since it is smaller than the sum of its proper divisors (1416557530516).

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

1001012122220 is a wasteful number, since it uses less digits than its factorization.

1001012122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122991 (or 3122989 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1001012122220 its reverse (222212101001), we get a palindrome (1223224223221).

The spelling of 1001012122220 in words is "one trillion, one billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 47 55 62 94 110 124 155 188 220 235 310 341 470 517 620 682 940 1034 1364 1457 1705 2068 2585 2914 3410 5170 5828 6820 7285 10340 14570 16027 29140 32054 64108 80135 160270 320540 3122893 6245786 12491572 15614465 31228930 34351823 62457860 68703646 96809683 137407292 146775971 171759115 193619366 293551942 343518230 387238732 484048415 587103884 687036460 733879855 968096830 1064906513 1467759710 1614535681 1936193660 2129813026 2935519420 3229071362 4259626052 4550055101 5324532565 6458142724 8072678405 9100110202 10649065130 16145356810 18200220404 21298130260 22750275505 32290713620 45500551010 50050606111 91001102020 100101212222 200202424444 250253030555 500506061110 1001012122220