Search a number
-
+
100121210211210 = 23543251309216499
BaseRepresentation
bin10110110000111101001001…
…001010110100101110001010
3111010111111100021201020110120
4112300331021022310232022
5101110341214303224320
6552535014330124110
730042342632012226
oct2660751112645612
9433444307636416
10100121210211210
11299a1192011951
12b2901b2880636
1343b350ac8b506
141aa1c6cb85786
15b895b0b2b440
hex5b0f492b4b8a

100121210211210 has 64 divisors (see below), whose sum is σ = 246858663744000. Its totient is φ = 25974185832000.

The previous prime is 100121210211163. The next prime is 100121210211287. The reversal of 100121210211210 is 12112012121001.

It is a happy number.

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 100121210211210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154284460 + ... + 154932039.

It is an arithmetic number, because the mean of its divisors is an integer number (3857166621000).

Almost surely, 2100121210211210 is an apocalyptic number.

100121210211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121210211210 is an abundant number, since it is smaller than the sum of its proper divisors (146737453532790).

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

100121210211210 is a wasteful number, since it uses less digits than its factorization.

100121210211210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309216803.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100121210211210 its reverse (12112012121001), we get a palindrome (112233222332211).

The spelling of 100121210211210 in words is "one hundred trillion, one hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 251 258 430 502 645 753 1255 1290 1506 2510 3765 7530 10793 21586 32379 53965 64758 107930 161895 323790 309216499 618432998 927649497 1546082495 1855298994 3092164990 4638247485 9276494970 13296309457 26592618914 39888928371 66481547285 77613341249 79777856742 132963094570 155226682498 199444641855 232840023747 388066706245 398889283710 465680047494 776133412490 1164200118735 2328400237470 3337373673707 6674747347414 10012121021121 16686868368535 20024242042242 33373736737070 50060605105605 100121210211210