Search a number
-
+
102231311211102 = 232313725121543217
BaseRepresentation
bin10111001111101010010100…
…111111010101101001011110
3111101222012212212000101121110
4113033222110333111221132
5101344424211132223402
61001232225505442450
730350653123406133
oct2717522477255136
9441865785011543
10102231311211102
112a635068017527
12b571143340426
1345074a9923418
141b36043dca58a
15bc440ea0256c
hex5cfa94fd5a5e

102231311211102 has 64 divisors (see below), whose sum is σ = 215765841360384. Its totient is φ = 32228651136000.

The previous prime is 102231311211097. The next prime is 102231311211109. The reversal of 102231311211102 is 201112113132201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231311211109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6026203 + ... + 15517014.

It is an arithmetic number, because the mean of its divisors is an integer number (3371341271256).

Almost surely, 2102231311211102 is an apocalyptic number.

102231311211102 is an abundant number, since it is smaller than the sum of its proper divisors (113534530149282).

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

102231311211102 is a wasteful number, since it uses less digits than its factorization.

102231311211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21543633.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102231311211102 its reverse (201112113132201), we get a palindrome (303343424343303).

The spelling of 102231311211102 in words is "one hundred two trillion, two hundred thirty-one billion, three hundred eleven million, two hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 23 46 69 137 138 251 274 411 502 753 822 1506 3151 5773 6302 9453 11546 17319 18906 34387 34638 68774 103161 206322 790901 1581802 2372703 4745406 21543217 43086434 64629651 129259302 495493991 990987982 1486481973 2951420729 2972963946 5407347467 5902841458 8854262187 10814694934 16222042401 17708524374 32444084802 67882676767 124368991741 135765353534 203648030301 248737983482 373106975223 407296060602 740806602979 746213950446 1481613205958 2222419808937 4444839617874 17038551868517 34077103737034 51115655605551 102231311211102