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1001002223100 = 22352111013003307
BaseRepresentation
bin11101001000100000110…
…00011100010111111100
310112200202120021122010010
432210100120130113330
5112400023032114400
62043504251343220
7132214524336165
oct16442030342774
93480676248103
101001002223100
11356582727a50
12142001751b10
1373517b03869
143663d5b276c
151b089736450
hexe91061c5fc

1001002223100 has 144 divisors (see below), whose sum is σ = 3190810525056. Its totient is φ = 240264480000.

The previous prime is 1001002223093. The next prime is 1001002223183. The reversal of 1001002223100 is 13222001001.

It is a super-2 number, since 2×10010022231002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1168354 + ... + 1834953.

It is an arithmetic number, because the mean of its divisors is an integer number (22158406424).

Almost surely, 21001002223100 is an apocalyptic number.

1001002223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002223100 is an abundant number, since it is smaller than the sum of its proper divisors (2189808301956).

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

1001002223100 is a wasteful number, since it uses less digits than its factorization.

1001002223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003436 (or 3003429 counting only the distinct ones).

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

Adding to 1001002223100 its reverse (13222001001), we get a palindrome (1014224224101).

The spelling of 1001002223100 in words is "one trillion, one billion, two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 3003307 6006614 9009921 12013228 15016535 18019842 30033070 33036377 36039684 45049605 60066140 66072754 75082675 90099210 99109131 132145508 150165350 165181885 180198420 198218262 225248025 300330700 303334007 330363770 396436524 450496050 495545655 606668014 660727540 825909425 900992100 910002021 991091310 1213336028 1516670035 1651818850 1820004042 1982182620 2477728275 3033340070 3303637700 3336674077 3640008084 4550010105 4955456550 6066680140 6673348154 7583350175 9100020210 9910913100 10010022231 13346696308 15166700350 16683370385 18200040420 20020044462 22750050525 30333400700 33366740770 40040088924 45500101050 50050111155 66733481540 83416851925 91000202100 100100222310 166833703850 200200444620 250250555775 333667407700 500501111550 1001002223100