Search a number
-
+
102220110220110 = 2354772496532071
BaseRepresentation
bin10111001111011111111001…
…010110111100101101001110
3111101221010222020101002120020
4113033133321112330231032
5101344233241204020420
61001223134221403010
730350105423510541
oct2717377126745516
9441833866332506
10102220110220110
112a63033a38a183
12b56ab38109466
1345064131856bc
141b356a055a858
15bc3ea64b0340
hex5cf7f95bcb4e

102220110220110 has 32 divisors (see below), whose sum is σ = 250548014840832. Its totient is φ = 26678723801760.

The previous prime is 102220110220103. The next prime is 102220110220117. The reversal of 102220110220110 is 11022011022201.

It is an interprime number because it is at equal distance from previous prime (102220110220103) and next prime (102220110220117).

It is a super-2 number, since 2×1022201102201102 (a number of 29 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 102220110220110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220110220117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36248264626 + ... + 36248267445.

It is an arithmetic number, because the mean of its divisors is an integer number (7829625463776).

Almost surely, 2102220110220110 is an apocalyptic number.

102220110220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102220110220110 is an abundant number, since it is smaller than the sum of its proper divisors (148327904620722).

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

102220110220110 is a wasteful number, since it uses less digits than its factorization.

102220110220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72496532128.

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

Adding to 102220110220110 its reverse (11022011022201), we get a palindrome (113242121242311).

The spelling of 102220110220110 in words is "one hundred two trillion, two hundred twenty billion, one hundred ten million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 72496532071 144993064142 217489596213 362482660355 434979192426 724965320710 1087447981065 2174895962130 3407337007337 6814674014674 10222011022011 17036685036685 20444022044022 34073370073370 51110055110055 102220110220110