Search a number
-
+
1131314201034 = 231923686362869
BaseRepresentation
bin10000011101100111100…
…101001100000111001010
311000011010020021000000020
4100131213211030013022
5122013412413413114
62223415113321310
7144510010021203
oct20354745140712
94004106230006
101131314201034
113a6873411786
1216330aa06236
13828b450b104
143ca8228c5aa
151e664b72aa9
hex1076794c1ca

1131314201034 has 64 divisors (see below), whose sum is σ = 2485668556800. Its totient is φ = 341668971072.

The previous prime is 1131314201029. The next prime is 1131314201063. The reversal of 1131314201034 is 4301024131311.

It is a happy number.

It is a super-2 number, since 2×11313142010342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131314200995 and 1131314201013.

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 31 ways as a sum of consecutive naturals, for example, 17963352 + ... + 18026220.

It is an arithmetic number, because the mean of its divisors is an integer number (38838571200).

Almost surely, 21131314201034 is an apocalyptic number.

1131314201034 is an abundant number, since it is smaller than the sum of its proper divisors (1354354355766).

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

1131314201034 is a wasteful number, since it uses less digits than its factorization.

1131314201034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69779.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1131314201034 its reverse (4301024131311), we get a palindrome (5432338332345).

The spelling of 1131314201034 in words is "one trillion, one hundred thirty-one billion, three hundred fourteen million, two hundred one thousand, thirty-four".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 437 874 1311 2622 6863 13726 20589 41178 62869 125738 130397 157849 188607 260794 315698 377214 391191 473547 782382 947094 1194511 1445987 2389022 2891974 2999131 3583533 4337961 5998262 7167066 8675922 8997393 17994786 27473753 54947506 82421259 164842518 431469947 862939894 1294409841 2588819682 8197928993 9923808781 16395857986 19847617562 24593786979 29771426343 49187573958 59542852686 188552366839 377104733678 565657100517 1131314201034