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201413414130 = 235174714475807
BaseRepresentation
bin1011101110010100101…
…1001100110011110010
3201020212211212120011220
42323211023030303302
511244443313223010
6232310020245510
720360132525625
oct2734513146362
9636784776156
10201413414130
1178467692155
1233050b40896
1315cbb0b64b6
149a69ac5dbc
15538c5b8970
hex2ee52cccf2

201413414130 has 128 divisors (see below), whose sum is σ = 523168284672. Its totient is φ = 49432562688.

The previous prime is 201413414129. The next prime is 201413414159. The reversal of 201413414130 is 31414314102.

It is a self number, because there is not a number n which added to its sum of digits gives 201413414130.

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, 34681687 + ... + 34687493.

It is an arithmetic number, because the mean of its divisors is an integer number (4087252224).

Almost surely, 2201413414130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201413414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261584142336).

201413414130 is an abundant number, since it is smaller than the sum of its proper divisors (321754870542).

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

201413414130 is a wasteful number, since it uses less digits than its factorization.

201413414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201413414130 its reverse (31414314102), we get a palindrome (232827728232).

The spelling of 201413414130 in words is "two hundred one billion, four hundred thirteen million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1447 1598 2397 2894 3995 4341 4794 5807 7235 7990 8682 11614 11985 14470 17421 21705 23970 24599 29035 34842 43410 49198 58070 68009 73797 87105 98719 122995 136018 147594 174210 197438 204027 245990 272929 296157 340045 368985 408054 493595 545858 592314 680090 737970 818787 987190 1020135 1156153 1364645 1480785 1637574 2040270 2312306 2729290 2961570 3468459 4093935 4639793 5780765 6936918 8187870 8402729 9279586 11561530 13919379 16805458 17342295 23198965 25208187 27838758 34684590 42013645 46397930 50416374 69596895 84027290 126040935 139193790 142846393 252081870 285692786 394928263 428539179 714231965 789856526 857078358 1184784789 1428463930 1974641315 2142695895 2369569578 3949282630 4285391790 5923923945 6713780471 11847847890 13427560942 20141341413 33568902355 40282682826 67137804710 100706707065 201413414130