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21343001400 = 23325271693889
BaseRepresentation
bin10011111000001001…
…000101101100111000
32001002102121210211100
4103320021011230320
5322202302021100
613445502331400
71353620342610
oct237011055470
961072553740
1021343001400
119062627936
124177889b60
1320219ba616
1410667dba40
1584db02400
hex4f8245b38

21343001400 has 144 divisors (see below), whose sum is σ = 81916520400. Its totient is φ = 4878397440.

The previous prime is 21343001399. The next prime is 21343001401. The reversal of 21343001400 is 410034312.

It is an interprime number because it is at equal distance from previous prime (21343001399) and next prime (21343001401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343001401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 834345 + ... + 859544.

It is an arithmetic number, because the mean of its divisors is an integer number (568864725).

Almost surely, 221343001400 is an apocalyptic number.

21343001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21343001400 is an abundant number, since it is smaller than the sum of its proper divisors (60573519000).

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

21343001400 is a wasteful number, since it uses less digits than its factorization.

21343001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693918 (or 1693906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21343001400 its reverse (410034312), we get a palindrome (21753035712).

The spelling of 21343001400 in words is "twenty-one billion, three hundred forty-three million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 1693889 3387778 5081667 6775556 8469445 10163334 11857223 13551112 15245001 16938890 20326668 23714446 25408335 30490002 33877780 35571669 40653336 42347225 47428892 50816670 59286115 60980004 67755560 71143338 76225005 84694450 94857784 101633340 106715007 118572230 121960008 127041675 142286676 152450010 169388900 177858345 203266680 213430014 237144460 254083350 284573352 296430575 304900020 338777800 355716690 381125025 426860028 474288920 508166700 533575035 592861150 609800040 711433380 762250050 853720056 889291725 1016333400 1067150070 1185722300 1422866760 1524500100 1778583450 2134300140 2371444600 2667875175 3049000200 3557166900 4268600280 5335750350 7114333800 10671500700 21343001400