Search a number
-
+
21101220011220 = 22351539532284379
BaseRepresentation
bin1001100110001000000101…
…01110010001110011010100
32202201020221022012021011020
410303010002232101303110
510231210244310324340
6112513433332441140
74305340621461306
oct463040256216324
982636838167136
1021101220011220
1167a5a82652568
122449683a791b0
13ba0ab4a6ba2b
1452d439783976
15268d579c69d0
hex133102b91cd4

21101220011220 has 48 divisors (see below), whose sum is σ = 59083825671360. Its totient is φ = 5626952989696.

The previous prime is 21101220011213. The next prime is 21101220011227. The reversal of 21101220011220 is 2211002210112.

21101220011220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (21101220011213) and next prime (21101220011227).

It is a super-2 number, since 2×211012200112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21101220011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101220011227) by changing a digit.

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, 8094991 + ... + 10379369.

It is an arithmetic number, because the mean of its divisors is an integer number (1230913034820).

Almost surely, 221101220011220 is an apocalyptic number.

21101220011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101220011220 is an abundant number, since it is smaller than the sum of its proper divisors (37982605660140).

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

21101220011220 is a wasteful number, since it uses less digits than its factorization.

21101220011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438344 (or 2438342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21101220011220 its reverse (2211002210112), we get a palindrome (23312222221332).

The spelling of 21101220011220 in words is "twenty-one trillion, one hundred one billion, two hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 153953 307906 461859 615812 769765 923718 1539530 1847436 2284379 2309295 3079060 4568758 4618590 6853137 9137516 9237180 11421895 13706274 22843790 27412548 34265685 45687580 68531370 137062740 351687000187 703374000374 1055061000561 1406748000748 1758435000935 2110122001122 3516870001870 4220244002244 5275305002805 7033740003740 10550610005610 21101220011220