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21212202121000 = 2353113787950909
BaseRepresentation
bin1001101001010110110011…
…10001011011011100101000
32210002212101211121120212121
410310223121301123130220
510240020042220333000
6113040430124321024
74316350100031502
oct464533161333450
983085354546777
1021212202121000
116839054107250
1224670976a3174
13bab3c0880a87
14534967178d72
1526bba0e19b1a
hex134ad9c5b728

21212202121000 has 128 divisors (see below), whose sum is σ = 54151460064000. Its totient is φ = 7713172896000.

The previous prime is 21212202120971. The next prime is 21212202121009. The reversal of 21212202121000 is 12120221212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21212202121009) 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 31 ways as a sum of consecutive naturals, for example, 416643546 + ... + 416694454.

It is an arithmetic number, because the mean of its divisors is an integer number (423058281750).

Almost surely, 221212202121000 is an apocalyptic number.

21212202121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212202121000 is an abundant number, since it is smaller than the sum of its proper divisors (32939257943000).

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

21212202121000 is a wasteful number, since it uses less digits than its factorization.

21212202121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88820 (or 88806 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21212202121000 its reverse (12120221212), we get a palindrome (21224322342212).

It can be divided in two parts, 2121220212 and 1000, that added together give a palindrome (2121221212).

The spelling of 21212202121000 in words is "twenty-one trillion, two hundred twelve billion, two hundred two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 37879 50909 75758 101818 151516 189395 203636 254545 303032 378790 407272 416669 509090 559999 757580 833338 946975 1018180 1119998 1272725 1515160 1666676 1893950 2036360 2083345 2239996 2545450 2799995 3333352 3787900 4166690 4479992 4734875 5090900 5599990 6363625 7575800 8333380 9469750 10181800 10416725 11199980 12727250 13999975 16666760 18939500 20833450 22399960 25454500 27999950 37879000 41666900 50909000 52083625 55999900 69999875 83333800 104167250 111999800 139999750 208334500 279999500 416669000 559999000 1928382011 3856764022 7713528044 9641910055 15427056088 19283820110 21212202121 38567640220 42424404242 48209550275 77135280440 84848808484 96419100550 106061010605 169697616968 192838201100 212122021210 241047751375 385676402200 424244042420 482095502750 530305053025 848488084840 964191005500 1060610106050 1928382011000 2121220212100 2651525265125 4242440424200 5303050530250 10606101060500 21212202121000