Search a number
-
+
102414041202312 = 23327432457469879
BaseRepresentation
bin10111010010010100100000…
…100010111011111010001000
3111102121200112121201201202200
4113102110200202323322020
5101410422424021433222
61001452205551400200
730400112261613240
oct2722244042737210
9442550477651680
10102414041202312
112a6a560736a494
12b5a063b223060
13451b7ab022388
141b40c1a5c4b20
15bc9056c16eac
hex5d25208bbe88

102414041202312 has 96 divisors (see below), whose sum is σ = 316997249462400. Its totient is φ = 29261024692992.

The previous prime is 102414041202287. The next prime is 102414041202329. The reversal of 102414041202312 is 213202140414201.

102414041202312 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 404 + 1 + 20 + 231 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217723389 + ... + 218193267.

It is an arithmetic number, because the mean of its divisors is an integer number (3302054681900).

Almost surely, 2102414041202312 is an apocalyptic number.

102414041202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102414041202312 is an abundant number, since it is smaller than the sum of its proper divisors (214583208260088).

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

102414041202312 is a wasteful number, since it uses less digits than its factorization.

102414041202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902355 (or 902348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102414041202312 its reverse (213202140414201), we get a palindrome (315616181616513).

The spelling of 102414041202312 in words is "one hundred two trillion, four hundred fourteen billion, forty-one million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 432457 469879 864914 939758 1297371 1409637 1729828 1879516 2594742 2819274 3027199 3289153 3459656 3759032 3892113 4228911 5189484 5638548 6054398 6578306 7784226 8457822 9081597 9867459 10378968 11277096 12108796 13156612 15568452 16915644 18163194 19734918 24217592 26313224 27244791 29602377 31136904 33831288 36326388 39469836 54489582 59204754 72652776 78939672 108979164 118409508 217958328 236819016 203202462703 406404925406 609607388109 812809850812 1219214776218 1422417238921 1625619701624 1828822164327 2438429552436 2844834477842 3657644328654 4267251716763 4876859104872 5689668955684 7315288657308 8534503433526 11379337911368 12801755150289 14630577314616 17069006867052 25603510300578 34138013734104 51207020601156 102414041202312