Search a number
-
+
1102220233320 = 2335231307305551
BaseRepresentation
bin10000000010100001011…
…100100000101001101000
310220101000121211022021110
4100002201130200221220
5121024321334431240
62202204124510320
7142430021253663
oct20024134405150
93811017738243
101102220233320
113954a3650168
1215974b3ab3a0
137cc28a722bb
143b4c22d06da
151da10867c80
hex100a1720a68

1102220233320 has 128 divisors (see below), whose sum is σ = 3453079818240. Its totient is φ = 280930003200.

The previous prime is 1102220233319. The next prime is 1102220233357. The reversal of 1102220233320 is 233320222011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3454545 + ... + 3760095.

It is an arithmetic number, because the mean of its divisors is an integer number (26977186080).

Almost surely, 21102220233320 is an apocalyptic number.

1102220233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102220233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726539909120).

1102220233320 is an abundant number, since it is smaller than the sum of its proper divisors (2350859584920).

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

1102220233320 is a wasteful number, since it uses less digits than its factorization.

1102220233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306895 (or 306891 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1102220233320 its reverse (233320222011), we get a palindrome (1335540455331).

The spelling of 1102220233320 in words is "one trillion, one hundred two billion, two hundred twenty million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1307 1380 2614 2760 3921 5228 6535 7842 10456 13070 15684 19605 26140 30061 31368 39210 52280 60122 78420 90183 120244 150305 156840 180366 240488 300610 305551 360732 450915 601220 611102 721464 901830 916653 1202440 1222204 1527755 1803660 1833306 2444408 3055510 3607320 3666612 4583265 6111020 7027673 7333224 9166530 12222040 14055346 18333060 21083019 28110692 35138365 36666120 42166038 56221384 70276730 84332076 105415095 140553460 168664152 210830190 281106920 399355157 421660380 798710314 843320760 1198065471 1597420628 1996775785 2396130942 3194841256 3993551570 4792261884 5990327355 7987103140 9185168611 9584523768 11980654710 15974206280 18370337222 23961309420 27555505833 36740674444 45925843055 47922618840 55111011666 73481348888 91851686110 110222023332 137777529165 183703372220 220444046664 275555058330 367406744440 551110116660 1102220233320