Search a number
-
+
13322130102300 = 223521719713259809
BaseRepresentation
bin1100000111011100110011…
…0101010001100000011100
31202011120202011010020022010
43001313030311101200130
53221232210301233200
644200034014351220
72543330542320525
oct301671465214034
952146664106263
1013322130102300
11427697a154438
1215b1b024bb510
1375836b58c1c6
14340b1a2d384c
15181814ac3150
hexc1dccd5181c

13322130102300 has 144 divisors (see below), whose sum is σ = 41019911745120. Its totient is φ = 3326620631040.

The previous prime is 13322130102269. The next prime is 13322130102301. The reversal of 13322130102300 is 320103122331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322130102301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5625205 + ... + 7634604.

It is an arithmetic number, because the mean of its divisors is an integer number (284860498230).

Almost surely, 213322130102300 is an apocalyptic number.

13322130102300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322130102300 is an abundant number, since it is smaller than the sum of its proper divisors (27697781642820).

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

13322130102300 is a wasteful number, since it uses less digits than its factorization.

13322130102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13260040 (or 13260033 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13322130102300 its reverse (320103122331), we get a palindrome (13642233224631).

The spelling of 13322130102300 in words is "thirteen trillion, three hundred twenty-two billion, one hundred thirty million, one hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 197 204 255 300 340 394 425 510 591 788 850 985 1020 1182 1275 1700 1970 2364 2550 2955 3349 3940 4925 5100 5910 6698 9850 10047 11820 13396 14775 16745 19700 20094 29550 33490 40188 50235 59100 66980 83725 100470 167450 200940 251175 334900 502350 1004700 13259809 26519618 39779427 53039236 66299045 79558854 132598090 159117708 198897135 225416753 265196180 331495225 397794270 450833506 662990450 676250259 795588540 901667012 994485675 1127083765 1325980900 1352500518 1988971350 2254167530 2612182373 2705001036 3381251295 3977942700 4508335060 5224364746 5635418825 6762502590 7836547119 10448729492 11270837650 13060911865 13525005180 15673094238 16906256475 22541675300 26121823730 31346188476 33812512950 39182735595 44407100341 52243647460 65304559325 67625025900 78365471190 88814200682 130609118650 133221301023 156730942380 177628401364 195913677975 222035501705 261218237300 266442602046 391827355950 444071003410 532885204092 666106505115 783654711900 888142006820 1110177508525 1332213010230 2220355017050 2664426020460 3330532525575 4440710034100 6661065051150 13322130102300