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21201211011222 = 232113715581185737
BaseRepresentation
bin1001101001000010010101…
…01001101011000010010110
32210001211000211220100201200
410310201022221223002112
510234330040004324342
6113031411334533330
74315510526113614
oct464411251530226
983054024810650
1021201211011222
1168344239a0850
122464b2a807246
13baa35b749b18
145342035406b4
1526b75b03494c
hex13484aa6b096

21201211011222 has 96 divisors (see below), whose sum is σ = 51469910672544. Its totient is φ = 6250536460800.

The previous prime is 21201211011193. The next prime is 21201211011287. The reversal of 21201211011222 is 22211011210212.

21201211011222 is a `hidden beast` number, since 21 + 201 + 211 + 0 + 11 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 21201211011195 and 21201211011204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114053538 + ... + 114239274.

It is an arithmetic number, because the mean of its divisors is an integer number (536144902839).

Almost surely, 221201211011222 is an apocalyptic number.

21201211011222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201211011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25734955336272).

21201211011222 is an abundant number, since it is smaller than the sum of its proper divisors (30268699661322).

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

21201211011222 is a wasteful number, since it uses less digits than its factorization.

21201211011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201374 (or 201371 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21201211011222 its reverse (22211011210212), we get a palindrome (43412222221434).

The spelling of 21201211011222 in words is "twenty-one trillion, two hundred one billion, two hundred eleven million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 15581 31162 46743 93486 140229 171391 185737 280458 342782 371474 514173 557211 576497 1028346 1114422 1152994 1542519 1671633 1729491 2043107 3085038 3343266 3458982 4086214 5188473 6129321 6341467 6872269 10376946 12258642 12682934 13744538 18387963 19024401 20616807 36775926 38048802 41233614 57073203 61850421 75594959 114146406 123700842 151189918 226784877 453569754 680354631 1360709262 2893968197 5787936394 8681904591 17363809182 26045713773 31833650167 52091427546 63667300334 95500950501 107076823289 191001901002 214153646578 286502851503 321230469867 573005703006 642460939734 963691409601 1177845056179 1927382819202 2355690112358 3533535168537 7067070337074 10600605505611 21201211011222