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1001002211220 = 2235111516670017
BaseRepresentation
bin11101001000100000110…
…00011001011110010100
310112200202120021000211010
432210100120121132110
5112400023031224340
62043504251212220
7132214524256434
oct16442030313624
93480676230733
101001002211220
1135658271a030
12142001747070
1373517acb32b
143663d5ac2c4
151b089732b80
hexe910619794

1001002211220 has 48 divisors (see below), whose sum is σ = 3057606756288. Its totient is φ = 242667202560.

The previous prime is 1001002211219. The next prime is 1001002211317. The reversal of 1001002211220 is 221122001001.

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 = 1001002211196 and 1001002211205.

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 15 ways as a sum of consecutive naturals, for example, 758334349 + ... + 758335668.

It is an arithmetic number, because the mean of its divisors is an integer number (63700140756).

Almost surely, 21001002211220 is an apocalyptic number.

1001002211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001002211220 is an abundant number, since it is smaller than the sum of its proper divisors (2056604545068).

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

1001002211220 is a wasteful number, since it uses less digits than its factorization.

1001002211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516670040 (or 1516670038 counting only the distinct ones).

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

Adding to 1001002211220 its reverse (221122001001), we get a palindrome (1222124212221).

The spelling of 1001002211220 in words is "one trillion, one billion, two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1516670017 3033340034 4550010051 6066680068 7583350085 9100020102 15166700170 16683370187 18200040204 22750050255 30333400340 33366740374 45500100510 50050110561 66733480748 83416850935 91000201020 100100221122 166833701870 200200442244 250250552805 333667403740 500501105610 1001002211220