Search a number
-
+
120031301211023 = 17297397334710273
BaseRepresentation
bin11011010010101011110111…
…000100100001001110001111
3120201222212202202112022021102
4123102223313010201032033
5111213043101102223043
61103141341334253315
734165655353116146
oct3322536704411617
9521885682468242
10120031301211023
1135277a97362354
1211566a53ab723b
1351c8b98262007
14218d79023275d
15dd245260d6b8
hex6d2af712138f

120031301211023 has 64 divisors (see below), whose sum is σ = 134702782220160. Its totient is φ = 106429663936512.

The previous prime is 120031301211013. The next prime is 120031301211053. The reversal of 120031301211023 is 320112103130021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120031301211023 - 224 = 120031284433807 is a prime.

It is a super-2 number, since 2×1200313012110232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120031301210986 and 120031301211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031301211013) 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, 11684147615 + ... + 11684157887.

It is an arithmetic number, because the mean of its divisors is an integer number (2104730972190).

Almost surely, 2120031301211023 is an apocalyptic number.

120031301211023 is a deficient number, since it is larger than the sum of its proper divisors (14671481009137).

120031301211023 is a wasteful number, since it uses less digits than its factorization.

120031301211023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120031301211023 its reverse (320112103130021), we get a palindrome (440143404341044).

The spelling of 120031301211023 in words is "one hundred twenty trillion, thirty-one billion, three hundred one million, two hundred eleven thousand, twenty-three".

Divisors: 1 17 29 73 97 493 1241 1649 2117 2813 3347 7081 10273 35989 47821 56899 97063 120377 174641 205349 244331 297917 324659 749929 996481 1650071 3490933 4153627 5064589 5519203 7085599 9415111 12748793 16940177 21747941 23700107 28897949 34383731 72743113 120455183 160056887 369714997 402901819 491265133 584523427 687303103 997128199 1236632921 2109550277 2510012363 3335221907 11684152751 16951179383 35862354709 42670210171 56698772419 72790358527 96721435303 243471199211 1237436094959 1644264400151 4139010386587 7060664777119 120031301211023