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301201104424 = 231167227313719
BaseRepresentation
bin1000110001000001111…
…11000001111000101000
31001210110020000110021011
410120200333001320220
514413324440320144
6350211520553304
730522021100453
oct4304077017050
91053406013234
10301201104424
11106814197890
124a45b782834
132253191b99c
141081487c49a
157c7cd66a34
hex4620fc1e28

301201104424 has 128 divisors (see below), whose sum is σ = 630925977600. Its totient is φ = 133656906240.

The previous prime is 301201104397. The next prime is 301201104443. The reversal of 301201104424 is 424401102103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 301201104395 and 301201104404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418916337 + ... + 418917055.

It is an arithmetic number, because the mean of its divisors is an integer number (4929109200).

Almost surely, 2301201104424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301201104424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315462988800).

301201104424 is an abundant number, since it is smaller than the sum of its proper divisors (329724873176).

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

301201104424 is a wasteful number, since it uses less digits than its factorization.

301201104424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 301201104424 its reverse (424401102103), we get a palindrome (725602206527).

The spelling of 301201104424 in words is "three hundred one billion, two hundred one million, one hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 67 88 134 227 268 313 454 536 626 719 737 908 1252 1438 1474 1816 2497 2504 2876 2948 3443 4994 5752 5896 6886 7909 9988 13772 15209 15818 19976 20971 27544 30418 31636 41942 48173 60836 63272 71051 83884 96346 121672 142102 163213 167299 167768 192692 225047 230681 284204 326426 334598 385384 450094 461362 529903 568408 652852 669196 781561 900188 922724 1059806 1305704 1338392 1563122 1795343 1800376 1845448 2119612 2475517 3126244 3590686 4239224 4760417 4951034 6252488 7181372 9520834 9902068 10935271 14362744 15078149 19041668 19804136 21870542 30156298 38083336 43741084 51085669 52364587 60312596 87482168 102171338 104729174 120287981 120625192 165859639 204342676 209458348 240575962 331719278 408685352 418916696 481151924 561942359 663438556 962303848 1123884718 1326877112 2247769436 3422739823 4495538872 6845479646 13690959292 27381918584 37650138053 75300276106 150600552212 301201104424