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2126122607106 = 232727988716433
BaseRepresentation
bin11110111100000110110…
…010000110001000000010
321112020220010210010110200
4132330012302012020002
5234313244341411411
64304421030110030
7306415204655661
oct36740662061002
97466803703420
102126122607106
1174a757869283
122a40821ab316
13125653044c84
1474c94ddcdd8
153a48a738e56
hex1ef06c86202

2126122607106 has 48 divisors (see below), whose sum is σ = 4613682737664. Its totient is φ = 707618051712.

The previous prime is 2126122607101. The next prime is 2126122607123. The reversal of 2126122607106 is 6017062216212.

It is a happy number.

2126122607106 is a `hidden beast` number, since 2 + 1 + 2 + 612 + 26 + 0 + 7 + 10 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2126122607101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129373066 + ... + 129389498.

It is an arithmetic number, because the mean of its divisors is an integer number (96118390368).

Almost surely, 22126122607106 is an apocalyptic number.

2126122607106 is an abundant number, since it is smaller than the sum of its proper divisors (2487560130558).

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

2126122607106 is a wasteful number, since it uses less digits than its factorization.

2126122607106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27055 (or 27052 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2126122607106 in words is "two trillion, one hundred twenty-six billion, one hundred twenty-two million, six hundred seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 727 1454 2181 4362 6543 9887 13086 16433 19774 29661 32866 49299 59322 88983 98598 147897 177966 295794 7187849 11946791 14375698 21563547 23893582 35840373 43127094 64690641 71680746 107521119 129381282 162473071 215042238 324946142 487419213 974838426 1462257639 2924515278 118117922617 236235845234 354353767851 708707535702 1063061303553 2126122607106