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2102123322312 = 2331331217341121
BaseRepresentation
bin11110100101110000010…
…100000101101111001000
321102221221120220010211220
4132211300110011233020
5233420122032303222
64245411354122040
7304605401264436
oct36456024055710
97387846803756
102102123322312
117405618a4412
1229b4a4a20320
131232c9c39340
1473a5990bd56
1539a33839b5c
hex1e970505bc8

2102123322312 has 64 divisors (see below), whose sum is σ = 5842129359360. Its totient is φ = 625942425600.

The previous prime is 2102123322293. The next prime is 2102123322319. The reversal of 2102123322312 is 2132233212012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2102123322319) 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, 108660889 + ... + 108680232.

It is an arithmetic number, because the mean of its divisors is an integer number (91283271240).

Almost surely, 22102123322312 is an apocalyptic number.

It is an amenable number.

2102123322312 is an abundant number, since it is smaller than the sum of its proper divisors (3740006037048).

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

2102123322312 is a wasteful number, since it uses less digits than its factorization.

2102123322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217341174 (or 217341170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2102123322312 its reverse (2132233212012), we get a palindrome (4234356534324).

The spelling of 2102123322312 in words is "two trillion, one hundred two billion, one hundred twenty-three million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 217341121 434682242 652023363 869364484 1304046726 1738728968 2608093452 2825434573 5216186904 5650869146 6737574751 8476303719 11301738292 13475149502 16952607438 20212724253 22603476584 26950299004 33905214876 40425448506 53900598008 67810429752 80850897012 87588471763 161701794024 175176943526 262765415289 350353887052 525530830578 700707774104 1051061661156 2102123322312