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10023201334320 = 2435374093275773
BaseRepresentation
bin1001000111011011010101…
…0110101110010000110000
31022111012122010122011011220
42101312311112232100300
52303210004020144240
633152332314105040
72053103162416356
oct221666526562060
938435563564156
1010023201334320
1132148a7937989
12115a691a1b180
13579250b4b105
142691a86697d6
15125ad6c725d0
hex91db55ae430

10023201334320 has 160 divisors (see below), whose sum is σ = 31919618269632. Its totient is φ = 2599969591296.

The previous prime is 10023201334261. The next prime is 10023201334339. The reversal of 10023201334320 is 2343310232001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36207954 + ... + 36483726.

Almost surely, 210023201334320 is an apocalyptic number.

10023201334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023201334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15959809134816).

10023201334320 is an abundant number, since it is smaller than the sum of its proper divisors (21896416935312).

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

10023201334320 is a wasteful number, since it uses less digits than its factorization.

10023201334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279919 (or 279913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10023201334320 its reverse (2343310232001), we get a palindrome (12366511566321).

The spelling of 10023201334320 in words is "ten trillion, twenty-three billion, two hundred one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4093 4440 8186 8880 12279 16372 20465 24558 32744 40930 49116 61395 65488 81860 98232 122790 151441 163720 196464 245580 275773 302882 327440 454323 491160 551546 605764 757205 827319 908646 982320 1103092 1211528 1378865 1514410 1654638 1817292 2206184 2271615 2423056 2757730 3028820 3309276 3634584 4136595 4412368 4543230 5515460 6057640 6618552 7269168 8273190 9086460 10203601 11030920 12115280 13237104 16546380 18172920 20407202 22061840 30610803 33092760 36345840 40814404 51018005 61221606 66185520 81628808 102036010 122443212 153054015 163257616 204072020 244886424 306108030 408144040 489772848 612216060 816288080 1128738889 1224432120 2257477778 2448864240 3386216667 4514955556 5643694445 6772433334 9029911112 11287388890 13544866668 16931083335 18059822224 22574777780 27089733336 33862166670 41763338893 45149555560 54179466672 67724333340 83526677786 90299111120 125290016679 135448666680 167053355572 208816694465 250580033358 270897333360 334106711144 417633388930 501160066716 626450083395 668213422288 835266777860 1002320133432 1252900166790 1670533555720 2004640266864 2505800333580 3341067111440 5011600667160 10023201334320