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21022101113200 = 24521143111110471
BaseRepresentation
bin1001100011110100101101…
…10111101000100101110000
32202102200201101000210211221
410301322112313220211300
510223411230341110300
6112413230412114424
74266540156106165
oct461722667504560
982380641023757
1021022101113200
116775472040440
122436283165a14
13b964b6344945
14529691a4606c
15266c76a5031a
hex131e96de8970

21022101113200 has 120 divisors (see below), whose sum is σ = 56378342376576. Its totient is φ = 7466623584000.

The previous prime is 21022101113197. The next prime is 21022101113203. The reversal of 21022101113200 is 231110122012.

It is an interprime number because it is at equal distance from previous prime (21022101113197) and next prime (21022101113203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022101113203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55366036 + ... + 55744435.

Almost surely, 221022101113200 is an apocalyptic number.

21022101113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022101113200 is an abundant number, since it is smaller than the sum of its proper divisors (35356241263376).

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

21022101113200 is a wasteful number, since it uses less digits than its factorization.

21022101113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111110543 (or 111110532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21022101113200 its reverse (231110122012), we get a palindrome (21253211235212).

The spelling of 21022101113200 in words is "twenty-one trillion, twenty-two billion, one hundred one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 860 880 946 1075 1100 1720 1892 2150 2200 2365 3440 3784 4300 4400 4730 7568 8600 9460 11825 17200 18920 23650 37840 47300 94600 189200 111110471 222220942 444441884 555552355 888883768 1111104710 1222215181 1777767536 2222209420 2444430362 2777761775 4444418840 4777750253 4888860724 5555523550 6111075905 8888837680 9555500506 9777721448 11111047100 12222151810 19111001012 19555442896 22222094200 23888751265 24444303620 30555379525 38222002024 44444188400 47777502530 48888607240 52555252783 61110759050 76444004048 95555005060 97777214480 105110505566 119443756325 122221518100 191110010120 210221011132 238887512650 244443036200 262776263915 382220020240 420442022264 477775025300 488886072400 525552527830 840884044528 955550050600 1051105055660 1313881319575 1911100101200 2102210111320 2627762639150 4204420222640 5255525278300 10511050556600 21022101113200