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201320203203224 = 23724726669409729
BaseRepresentation
bin101101110001100110000011…
…001100101011001010011000
3222101211000122002212120110122
4231301212003030223022120
5202341412234010000344
61552101120301532412
760255622211351300
oct5561460314531230
9871730562776418
10201320203203224
1159168467335106
121a6b5254874108
13884454bb9a231
14379dd4246c600
151841c019bdaee
hexb7198332b298

201320203203224 has 96 divisors (see below), whose sum is σ = 448464563064000. Its totient is φ = 84440968077312.

The previous prime is 201320203203187. The next prime is 201320203203263. The reversal of 201320203203224 is 422302302023102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201320203203193 and 201320203203202.

It is a congruent number.

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, 491144792 + ... + 491554520.

It is an arithmetic number, because the mean of its divisors is an integer number (4671505865250).

Almost surely, 2201320203203224 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 201320203203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224232281532000).

201320203203224 is an abundant number, since it is smaller than the sum of its proper divisors (247144359860776).

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

201320203203224 is a wasteful number, since it uses less digits than its factorization.

201320203203224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436465 (or 436454 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 201320203203224 its reverse (422302302023102), we get a palindrome (623622505226326).

The spelling of 201320203203224 in words is "two hundred one trillion, three hundred twenty billion, two hundred three million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 4606 9212 18424 26669 53338 106676 186683 213352 373366 409729 746732 819458 1253443 1306781 1493464 1638916 2506886 2613562 2868103 3277832 5013772 5227124 5736206 8774101 10027544 10454248 11472412 17548202 19257263 20076721 22944824 35096404 38514526 40153442 61418707 70192808 77029052 80306884 122837414 134800841 154058104 160613768 245674828 269601682 491349656 539203364 943605887 1078406728 1887211774 3774423548 7548847096 10927062701 21854125402 43708250804 76489438907 87416501608 152978877814 305957755628 513571946947 535426072349 611915511256 1027143893894 1070852144698 2054287787788 2141704289396 3595003628629 4108575575576 4283408578792 7190007257258 14380014514516 25165025400403 28760029029032 50330050800806 100660101601612 201320203203224