Search a number
-
+
1166420201034 = 23111716756311057
BaseRepresentation
bin10000111110010100000…
…011111100111001001010
311010111201211101120121110
4100332110003330321022
5123102312032413114
62251502424551150
7150161660056344
oct20762403747112
94114654346543
101166420201034
1140a748882120
1216a0879224b6
1385cba69658a
14406528ac294
152051bb90759
hex10f940fce4a

1166420201034 has 128 divisors (see below), whose sum is σ = 2715813660672. Its totient is φ = 330059632640.

The previous prime is 1166420201033. The next prime is 1166420201039. The reversal of 1166420201034 is 4301020246611.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1166420200992 and 1166420201010.

It is not an unprimeable number, because it can be changed into a prime (1166420201033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105486034 + ... + 105497090.

It is an arithmetic number, because the mean of its divisors is an integer number (21217294224).

Almost surely, 21166420201034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166420201034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357906830336).

1166420201034 is an abundant number, since it is smaller than the sum of its proper divisors (1549393459638).

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

1166420201034 is a wasteful number, since it uses less digits than its factorization.

1166420201034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11820.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 1166420201034 its reverse (4301020246611), we get a palindrome (5467440447645).

The spelling of 1166420201034 in words is "one trillion, one hundred sixty-six billion, four hundred twenty million, two hundred one thousand, thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 167 187 334 374 501 561 563 1002 1122 1126 1689 1837 2839 3378 3674 5511 5678 6193 8517 9571 11022 11057 12386 17034 18579 19142 22114 28713 31229 33171 37158 57426 62458 66342 93687 94021 105281 121627 187374 187969 188042 210562 243254 282063 315843 364881 375938 563907 564126 631686 729762 1034231 1127814 1598357 1846519 2067659 2068462 3102693 3196714 3693038 4135318 4795071 5539557 6202977 6205386 6225091 9590142 11079114 12405954 12450182 17581927 18675273 20311709 31390823 35163854 37350546 40623418 52745781 60935127 62781646 68476001 94172469 105491562 105826547 121870254 136952002 188344938 205428003 211653094 317479641 345299053 410856006 634959282 690598106 1035897159 1039590197 1164092017 2071794318 2079180394 2328184034 3118770591 3492276051 6237541182 6984552102 11435492167 17673033349 22870984334 34306476501 35346066698 53019100047 68612953002 106038200094 194403366839 388806733678 583210100517 1166420201034