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405013102152230 = 251113311314830913
BaseRepresentation
bin101110000010110110111011…
…0000101010100101000100110
31222010000212121110101112112102
41130011231312011110220212
5411041213313122332410
63553220241152052102
7151211142143100155
oct13405556605245046
91863025543345472
10405013102152230
1110806010154a040
1239512304534032
13144cb757bcc000
147202a4b14b59c
1531c54c0c2e2a5
hex1705b76154a26

405013102152230 has 128 divisors (see below), whose sum is σ = 869167494679680. Its totient is φ = 134745361121280.

The previous prime is 405013102152229. The next prime is 405013102152259. The reversal of 405013102152230 is 32251201310504.

It is a super-2 number, since 2×4050131021522302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 405013102152193 and 405013102152202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19893254 + ... + 34724166.

It is an arithmetic number, because the mean of its divisors is an integer number (6790371052185).

Almost surely, 2405013102152230 is an apocalyptic number.

405013102152230 is an abundant number, since it is smaller than the sum of its proper divisors (464154392527450).

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

405013102152230 is a wasteful number, since it uses less digits than its factorization.

405013102152230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14831083 (or 14831057 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 405013102152230 its reverse (32251201310504), we get a palindrome (437264303462734).

The spelling of 405013102152230 in words is "four hundred five trillion, thirteen billion, one hundred two million, one hundred fifty-two thousand, two hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 113 130 143 169 226 286 338 565 715 845 1130 1243 1430 1469 1690 1859 2197 2486 2938 3718 4394 6215 7345 9295 10985 12430 14690 16159 18590 19097 21970 24167 32318 38194 48334 80795 95485 120835 161590 190970 210067 241670 248261 420134 496522 1050335 1241305 2100670 2482610 2730871 5461742 13654355 14830913 27308710 29661826 74154565 148309130 163140043 192801869 326280086 385603738 815700215 964009345 1631400430 1675893169 1928018690 2120820559 2506424297 3351786338 4241641118 5012848594 8379465845 10604102795 12532121485 16758931690 18434824859 21208205590 21786611197 25064242970 27570667267 32583515861 36869649718 43573222394 55141334534 65167031722 92174124295 108933055985 137853336335 162917579305 184348248590 217866111970 239652723167 275706672670 283225945561 325835158610 358418674471 479305446334 566451891122 716837348942 1198263615835 1416129727805 1792093372355 2396527231670 2832259455610 3115485401171 3584186744710 3681937292293 6230970802342 7363874584586 15577427005855 18409686461465 31154854011710 36819372922930 40501310215223 81002620430446 202506551076115 405013102152230