Search a number
-
+
101322112300002 = 23311764322317931
BaseRepresentation
bin10111000010011011100100…
…100000101111001111100010
3111021202022002012212012122000
4113002123210200233033202
5101240030141222100002
6555254422533424430
730225165253233606
oct2702334440571742
9437668065765560
10101322112300002
112a314514a27670
12b444aa249b116
13446c832421569
141b04033011506
15baa949b0761c
hex5c26e482f3e2

101322112300002 has 64 divisors (see below), whose sum is σ = 245661511979520. Its totient is φ = 30699651790800.

The previous prime is 101322112300001. The next prime is 101322112300007. The reversal of 101322112300002 is 200003211223101.

101322112300002 is a `hidden beast` number, since 101 + 322 + 11 + 230 + 0 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101322112300001) by changing a digit.

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, 6619024 + ... + 15698907.

It is an arithmetic number, because the mean of its divisors is an integer number (3838461124680).

Almost surely, 2101322112300002 is an apocalyptic number.

101322112300002 is an abundant number, since it is smaller than the sum of its proper divisors (144339399679518).

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

101322112300002 is a wasteful number, since it uses less digits than its factorization.

101322112300002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22325596 (or 22325590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101322112300002 its reverse (200003211223101), we get a palindrome (301325323523103).

The spelling of 101322112300002 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twelve million, three hundred thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 7643 15286 22929 45858 68787 84073 137574 168146 206361 252219 412722 504438 756657 1513314 2269971 4539942 22317931 44635862 66953793 133907586 200861379 245497241 401722758 490994482 602584137 736491723 1205168274 1472983446 2209475169 4418950338 6628425507 13256851014 170575946633 341151893266 511727839899 1023455679798 1535183519697 1876335412963 3070367039394 3752670825926 4605550559091 5629006238889 9211101118182 11258012477778 16887018716667 33774037433334 50661056150001 101322112300002