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1220002211010 = 2351137475121031
BaseRepresentation
bin10001110000001101110…
…011000110010011000010
311022122001001101201011110
4101300031303012103002
5124442031031223020
62332243345224150
7154066535456022
oct21601563062302
94278031351143
101220002211010
114304444962a0
12178540332056
138b079587b1b
1443096c27a82
1521b05c418e0
hex11c0dcc64c2

1220002211010 has 128 divisors (see below), whose sum is σ = 3281363509248. Its totient is φ = 287690400000.

The previous prime is 1220002210981. The next prime is 1220002211027. The reversal of 1220002211010 is 101122000221.

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 63 ways as a sum of consecutive naturals, for example, 57999195 + ... + 58020225.

It is an arithmetic number, because the mean of its divisors is an integer number (25635652416).

Almost surely, 21220002211010 is an apocalyptic number.

1220002211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220002211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640681754624).

1220002211010 is an abundant number, since it is smaller than the sum of its proper divisors (2061361298238).

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

1220002211010 is a wasteful number, since it uses less digits than its factorization.

1220002211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25840.

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

Adding to 1220002211010 its reverse (101122000221), we get a palindrome (1321124211231).

The spelling of 1220002211010 in words is "one trillion, two hundred twenty billion, two million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 4751 6105 9502 12210 14253 21031 23755 28506 42062 47510 52261 63093 71265 104522 105155 126186 142530 156783 175787 210310 231341 261305 313566 315465 351574 462682 522610 527361 630930 694023 778147 783915 878935 1054722 1156705 1388046 1556294 1567830 1757870 1933657 2313410 2334441 2636805 3470115 3867314 3890735 4668882 5273610 5800971 6940230 7781470 8559617 9668285 11601942 11672205 17119234 19336570 23344410 25678851 29004855 42798085 51357702 58009710 85596170 99918281 128394255 199836562 256788510 299754843 499591405 599509686 999182810 1099101091 1498774215 2198202182 2997548430 3297303273 3696976397 5495505455 6594606546 7393952794 10991010910 11090929191 16486516365 18484881985 22181858382 32973032730 36969763970 40666740367 55454645955 81333480734 110909291910 122000221101 203333701835 244000442202 406667403670 610001105505 1220002211010