Search a number
-
+
120031013242134 = 2341938996430553
BaseRepresentation
bin11011010010101011100101…
…111010000000010100010110
3120201222212000200122222020000
4123102223211322000110112
5111213042003342222014
61103141253010152130
734165645255325541
oct3322534572002426
9521885020588200
10120031013242134
1135277959856035
1211566993582646
1351c8b506b7417
14218d763cb1858
15dd24371c9509
hex6d2ae5e80516

120031013242134 has 40 divisors (see below), whose sum is σ = 283114085822040. Its totient is φ = 37904530496544.

The previous prime is 120031013242121. The next prime is 120031013242169. The reversal of 120031013242134 is 431242310130021.

120031013242134 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 310 + 1 + 324 + 21 + 3 + 4 = 666.

It is a super-2 number, since 2×1200310132421342 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120031013242098 and 120031013242107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19498212199 + ... + 19498218354.

It is an arithmetic number, because the mean of its divisors is an integer number (7077852145551).

Almost surely, 2120031013242134 is an apocalyptic number.

120031013242134 is an abundant number, since it is smaller than the sum of its proper divisors (163083072579906).

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

120031013242134 is a wasteful number, since it uses less digits than its factorization.

120031013242134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38996430586 (or 38996430577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 120031013242134 its reverse (431242310130021), we get a palindrome (551273323372155).

The spelling of 120031013242134 in words is "one hundred twenty trillion, thirty-one billion, thirteen million, two hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1539 3078 38996430553 77992861106 116989291659 233978583318 350967874977 701935749954 740932180507 1052903624931 1481864361014 2105807249862 2222796541521 3158710874793 4445593083042 6317421749586 6668389624563 13336779249126 20005168873689 40010337747378 60015506621067 120031013242134