Search a number
-
+
101222121220 = 2251110128316097
BaseRepresentation
bin101111001000101001…
…1101111111100000100
3100200021100021112101121
41132101103233330010
53124300330334340
6114300101203324
710212243556063
oct1362123577404
9320240245347
10101222121220
1139a23280940
121774b100544
139711a7a9ac
144c834ac1da
15297669494a
hex17914eff04

101222121220 has 96 divisors (see below), whose sum is σ = 235028739456. Its totient is φ = 36312576000.

The previous prime is 101222121211. The next prime is 101222121233. The reversal of 101222121220 is 22121222101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101222121194 and 101222121203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6280212 + ... + 6296308.

It is an arithmetic number, because the mean of its divisors is an integer number (2448216036).

Almost surely, 2101222121220 is an apocalyptic number.

101222121220 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 101222121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117514369728).

101222121220 is an abundant number, since it is smaller than the sum of its proper divisors (133806618236).

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

101222121220 is a wasteful number, since it uses less digits than its factorization.

101222121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16501 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222121220 its reverse (22121222101), we get a palindrome (123343343321).

The spelling of 101222121220 in words is "one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 283 404 505 566 1010 1111 1132 1415 2020 2222 2830 3113 4444 5555 5660 6226 11110 12452 15565 16097 22220 28583 31130 32194 57166 62260 64388 80485 114332 142915 160970 177067 285830 314413 321940 354134 571660 628826 708268 885335 1257652 1572065 1625797 1770670 3144130 3251594 3541340 4555451 6288260 6503188 8128985 9110902 16257970 17883767 18221804 22777255 32515940 35767534 45554510 50109961 71535068 89418835 91109020 100219922 178837670 200439844 250549805 357675340 460100551 501099610 920201102 1002199220 1840402204 2300502755 4601005510 5061106061 9202011020 10122212122 20244424244 25305530305 50611060610 101222121220