Search a number
-
+
102211100120 = 23536737918371
BaseRepresentation
bin101111100110001000…
…0011001110111011000
3100202211021012212101202
41133030100121313120
53133312020200440
6114542150333332
710245613005353
oct1371420316730
9322737185352
10102211100120
113a390557378
121798635a248
13983b9295cc
144d3898b29a
1529d33ea615
hex17cc419dd8

102211100120 has 64 divisors (see below), whose sum is σ = 231222643200. Its totient is φ = 40663244160.

The previous prime is 102211100113. The next prime is 102211100129. The reversal of 102211100120 is 21001112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211100129) 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, 5554535 + ... + 5572905.

It is an arithmetic number, because the mean of its divisors is an integer number (3612853800).

Almost surely, 2102211100120 is an apocalyptic number.

102211100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211100120 is an abundant number, since it is smaller than the sum of its proper divisors (129011543080).

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

102211100120 is a wasteful number, since it uses less digits than its factorization.

102211100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19128 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102211100120 its reverse (21001112201), we get a palindrome (123212212321).

The spelling of 102211100120 in words is "one hundred two billion, two hundred eleven million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 367 379 734 758 1468 1516 1835 1895 2936 3032 3670 3790 7340 7580 14680 15160 18371 36742 73484 91855 139093 146968 183710 278186 367420 556372 695465 734840 1112744 1390930 2781860 5563720 6742157 6962609 13484314 13925218 26968628 27850436 33710785 34813045 53937256 55700872 67421570 69626090 134843140 139252180 269686280 278504360 2555277503 5110555006 10221110012 12776387515 20442220024 25552775030 51105550060 102211100120