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130422204234 = 23277121436803
BaseRepresentation
bin111100101110111000…
…1001110011101001010
3110110122100101102221200
41321131301032131022
54114101041013414
6135525400245030
712264661305330
oct1713561163512
9413570342850
10130422204234
1150347a30453
122133a170776
13c3b64bb91a
1464535adb50
1535d4e61109
hex1e5dc4e74a

130422204234 has 96 divisors (see below), whose sum is σ = 327699800064. Its totient is φ = 36716107680.

The previous prime is 130422204217. The next prime is 130422204313. The reversal of 130422204234 is 432402224031.

130422204234 is a `hidden beast` number, since 1 + 3 + 0 + 422 + 2 + 0 + 4 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130422204198 and 130422204207.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19167877 + ... + 19174679.

It is an arithmetic number, because the mean of its divisors is an integer number (3413539584).

Almost surely, 2130422204234 is an apocalyptic number.

130422204234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130422204234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163849900032).

130422204234 is an abundant number, since it is smaller than the sum of its proper divisors (197277595830).

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

130422204234 is a wasteful number, since it uses less digits than its factorization.

130422204234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9029 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 130422204234 its reverse (432402224031), we get a palindrome (562824428265).

The spelling of 130422204234 in words is "one hundred thirty billion, four hundred twenty-two million, two hundred four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 71 126 142 213 426 497 639 994 1278 1491 2143 2982 4286 4473 6429 6803 8946 12858 13606 15001 19287 20409 30002 38574 40818 45003 47621 61227 90006 95242 122454 135009 142863 152153 270018 285726 304306 428589 456459 483013 857178 912918 966026 1065071 1369377 1449039 2130142 2738754 2898078 3195213 3381091 4347117 6390426 6762182 8694234 9585639 10143273 14578829 19171278 20286546 29157658 30429819 43736487 60859638 87472974 102051803 131209461 204103606 262418922 306155409 612310818 918466227 1035096859 1836932454 2070193718 3105290577 6210581154 7245678013 9315871731 14491356026 18631743462 21737034039 43474068078 65211102117 130422204234