Search a number
-
+
100112211220 = 2257799051737
BaseRepresentation
bin101110100111100100…
…1110001110100010100
3100120101222210021002211
41131033021301310110
53120012211224340
6113554012043204
710142605516630
oct1351711616424
9316358707084
10100112211220
113950380804a
121749b463504
139595b3a408
144bb9d0ddc0
15290e0025ea
hex174f271d14

100112211220 has 48 divisors (see below), whose sum is σ = 243310717440. Its totient is φ = 33889699584.

The previous prime is 100112211203. The next prime is 100112211253. The reversal of 100112211220 is 22112211001.

100112211220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100112211220.

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 15 ways as a sum of consecutive naturals, for example, 4514809 + ... + 4536928.

It is an arithmetic number, because the mean of its divisors is an integer number (5068973280).

Almost surely, 2100112211220 is an apocalyptic number.

100112211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112211220 is an abundant number, since it is smaller than the sum of its proper divisors (143198506220).

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

100112211220 is a wasteful number, since it uses less digits than its factorization.

100112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9051832 (or 9051830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100112211220 its reverse (22112211001), we get a palindrome (122224422221).

The spelling of 100112211220 in words is "one hundred billion, one hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 9051737 18103474 36206948 45258685 63362159 90517370 126724318 181034740 253448636 316810795 633621590 715087223 1267243180 1430174446 2860348892 3575436115 5005610561 7150872230 10011221122 14301744460 20022442244 25028052805 50056105610 100112211220