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100214120322 = 2344713161823
BaseRepresentation
bin101110101010100111…
…0100001111110000010
3100120200002112210010000
41131111032201332002
53120214303322242
6114012052220430
710145253653001
oct1352516417602
9316602483100
10100214120322
1139556292948
121750960a716
1395b0c9bb64
144bc967ac38
152917e32a4c
hex17553a1f82

100214120322 has 40 divisors (see below), whose sum is σ = 229331621376. Its totient is φ = 32693965848.

The previous prime is 100214120287. The next prime is 100214120333. The reversal of 100214120322 is 223021412001.

It is a happy number.

100214120322 is a `hidden beast` number, since 10 + 0 + 214 + 120 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100214120295 and 100214120304.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6573298 + ... + 6588525.

Almost surely, 2100214120322 is an apocalyptic number.

100214120322 is an abundant number, since it is smaller than the sum of its proper divisors (129117501054).

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

100214120322 is a wasteful number, since it uses less digits than its factorization.

100214120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161884 (or 13161875 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100214120322 its reverse (223021412001), we get a palindrome (323235532323).

The spelling of 100214120322 in words is "one hundred billion, two hundred fourteen million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 7614 13161823 26323646 39485469 78970938 118456407 236912814 355369221 618605681 710738442 1066107663 1237211362 1855817043 2132215326 3711634086 5567451129 11134902258 16702353387 33404706774 50107060161 100214120322