Search a number
-
+
130301032114122 = 231929439659136237
BaseRepresentation
bin11101101000001000010010…
…101110111010011111001010
3122002100122201222001010220220
4131220020102232322133022
5114034323003210122442
61141043245012530510
736305640021360162
oct3550102256723712
9562318658033826
10130301032114122
11385773a2762101
1212745268020a36
1357924471862bc
14242686440b5a2
15100e66767deec
hex768212bba7ca

130301032114122 has 128 divisors (see below), whose sum is σ = 284857309440000. Its totient is φ = 39577870225152.

The previous prime is 130301032114069. The next prime is 130301032114139. The reversal of 130301032114122 is 221411230103031.

It is a junction number, because it is equal to n+sod(n) for n = 130301032114092 and 130301032114101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956360988 + ... + 956497224.

It is an arithmetic number, because the mean of its divisors is an integer number (2225447730000).

Almost surely, 2130301032114122 is an apocalyptic number.

130301032114122 is an abundant number, since it is smaller than the sum of its proper divisors (154556277325878).

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

130301032114122 is a wasteful number, since it uses less digits than its factorization.

130301032114122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137388.

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

Adding to 130301032114122 its reverse (221411230103031), we get a palindrome (351712262217153).

The spelling of 130301032114122 in words is "one hundred thirty trillion, three hundred one billion, thirty-two million, one hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 439 551 659 878 1102 1317 1318 1653 1977 2634 3306 3954 8341 12521 12731 16682 19111 25023 25042 25462 37563 38193 38222 50046 57333 75126 76386 114666 136237 241889 272474 289301 363109 408711 483778 578602 725667 726218 817422 867903 1089327 1451334 1735806 2178654 2588503 3950873 5177006 5496719 7765509 7901746 8389729 10993438 11852619 15531018 16490157 16779458 23705238 25169187 32980314 50338374 59808043 75066587 89780183 119616086 150133174 159404851 179424129 179560366 225199761 269340549 318809702 358848258 450399522 478214553 538681098 956429106 1136352817 1705823477 1734433247 2272705634 2603625307 3409058451 3411646954 3468866494 5117470431 5203299741 5207250614 6818116902 7810875921 10234940862 10406599482 15621751842 32954231693 39413500337 49468880833 65908463386 78827000674 98862695079 98937761666 118240501011 148406642499 197725390158 236481002022 296813284998 748856506403 1142991509773 1497713012806 2246569519209 2285983019546 3428974529319 4493139038418 6857949058638 21716838685687 43433677371374 65150516057061 130301032114122