Search a number
-
+
101100021112220 = 225133112543426937
BaseRepresentation
bin10110111111001100101110…
…110110000101110110011100
3111020222001211022002220112112
4112333030232312011312130
5101222410320401042340
6555004413012453152
730203143525260404
oct2677145666056634
9436861738086475
10101100021112220
112a239307278089
12b409a4061a1b8
1344548ca403950
141ad73a5013804
15ba4c9c041065
hex5bf32ed85d9c

101100021112220 has 48 divisors (see below), whose sum is σ = 236017121265408. Its totient is φ = 36125069575680.

The previous prime is 101100021112199. The next prime is 101100021112249. The reversal of 101100021112220 is 22211120001101.

It is a junction number, because it is equal to n+sod(n) for n = 101100021112195 and 101100021112204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6271705409 + ... + 6271721528.

It is an arithmetic number, because the mean of its divisors is an integer number (4917023359696).

Almost surely, 2101100021112220 is an apocalyptic number.

101100021112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100021112220 is an abundant number, since it is smaller than the sum of its proper divisors (134917100153188).

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

101100021112220 is a wasteful number, since it uses less digits than its factorization.

101100021112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543426990 (or 12543426988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101100021112220 its reverse (22211120001101), we get a palindrome (123311141113321).

The spelling of 101100021112220 in words is "one hundred one trillion, one hundred billion, twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 12543426937 25086853874 50173707748 62717134685 125434269370 163064550181 250868538740 326129100362 388846235047 652258200724 777692470094 815322750905 1555384940188 1630645501810 1944231175235 3261291003620 3888462350470 5055001055611 7776924700940 10110002111222 20220004222444 25275005278055 50550010556110 101100021112220