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22131320312400 = 24352131418674379
BaseRepresentation
bin1010000100000110110010…
…11111000101001001010000
32220100201210202122102100220
411002003121133011021100
510400044420444444100
6115022553241113040
74442635514534415
oct502033137051120
986321722572326
1022131320312400
117062927399222
122595246488780
13c46c8911a270
145672396a410c
15285a46a7aaa0
hex1420d97c5250

22131320312400 has 120 divisors (see below), whose sum is σ = 76347380434080. Its totient is φ = 5447709611520.

The previous prime is 22131320312369. The next prime is 22131320312441. The reversal of 22131320312400 is 421302313122.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 709321590 + ... + 709352789.

It is an arithmetic number, because the mean of its divisors is an integer number (636228170284).

Almost surely, 222131320312400 is an apocalyptic number.

22131320312400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131320312400 is an abundant number, since it is smaller than the sum of its proper divisors (54216060121680).

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

22131320312400 is a wasteful number, since it uses less digits than its factorization.

22131320312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418674413 (or 1418674402 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22131320312400 its reverse (421302313122), we get a palindrome (22552622625522).

The spelling of 22131320312400 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 1418674379 2837348758 4256023137 5674697516 7093371895 8512046274 11349395032 14186743790 17024092548 18442766927 21280115685 22698790064 28373487580 34048185096 35466859475 36885533854 42560231370 55328300781 56746975160 68096370192 70933718950 73771067708 85120462740 92213834635 106400578425 110656601562 113493950320 141867437900 147542135416 170240925480 184427669270 212801156850 221313203124 276641503905 283734875800 295084270832 340481850960 368855338540 425602313700 442626406248 461069173175 553283007810 567469751600 737710677080 851204627400 885252812496 922138346350 1106566015620 1383207519525 1475421354160 1702409254800 1844276692700 2213132031240 2766415039050 3688553385400 4426264062480 5532830078100 7377106770800 11065660156200 22131320312400