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103212211204432 = 241110146712433121
BaseRepresentation
bin10111011101111011110111…
…001011110111000101010000
3111112102222202110101221121001
4113131323313023313011100
5102012012102032020212
61003303011340511344
730511556544651421
oct2735736713670520
9445388673357531
10103212211204432
112a983064540740
12b6ab27484b554
134578b3cb07965
141b6b6d78a5648
15bdebbe527657
hex5ddef72f7150

103212211204432 has 80 divisors (see below), whose sum is σ = 220784794386624. Its totient is φ = 46350671360000.

The previous prime is 103212211204397. The next prime is 103212211204471. The reversal of 103212211204432 is 234402112212301.

It is a self number, because there is not a number n which added to its sum of digits gives 103212211204432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084832 + ... + 14517952.

Almost surely, 2103212211204432 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 103212211204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110392397193312).

103212211204432 is an abundant number, since it is smaller than the sum of its proper divisors (117572583182192).

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

103212211204432 is a wasteful number, since it uses less digits than its factorization.

103212211204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12433708 (or 12433702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 103212211204432 its reverse (234402112212301), we get a palindrome (337614323416733).

The spelling of 103212211204432 in words is "one hundred three trillion, two hundred twelve billion, two hundred eleven million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 467 808 934 1111 1616 1868 2222 3736 4444 5137 7472 8888 10274 17776 20548 41096 47167 82192 94334 188668 377336 518837 754672 1037674 2075348 4150696 8301392 12433121 24866242 49732484 99464968 136764331 198929936 273528662 547057324 1094114648 1255745221 2188229296 2511490442 5022980884 5806267507 10045961768 11612535014 13813197431 20091923536 23225070028 27626394862 46450140056 55252789724 63868942577 92900280112 110505579448 127737885154 221011158896 255475770308 510951540616 586433018207 1021903081232 1172866036414 2345732072828 4691464145656 6450763200277 9382928291312 12901526400554 25803052801108 51606105602216 103212211204432