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22121231010213 = 31947167251196991
BaseRepresentation
bin1010000011110100000000…
…00111011100100110100101
32220022202202121211202200010
411001322000013130212211
510344413240114311323
6115014204144240433
74442130504064266
oct501720007344645
986282677752603
1022121231010213
11705961a22a155
1225932ab610119
13c4603ba9367a
1456695d73696d
15285655e2cc93
hex141e801dc9a5

22121231010213 has 64 divisors (see below), whose sum is σ = 32025036718080. Its totient is φ = 13537940760000.

The previous prime is 22121231010199. The next prime is 22121231010247. The reversal of 22121231010213 is 31201013212122.

It is not a de Polignac number, because 22121231010213 - 212 = 22121231006117 is a prime.

It is a super-2 number, since 2×221212310102132 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22121231010213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121231010413) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112197148 + ... + 112394138.

It is an arithmetic number, because the mean of its divisors is an integer number (500391198720).

Almost surely, 222121231010213 is an apocalyptic number.

It is an amenable number.

22121231010213 is a deficient number, since it is larger than the sum of its proper divisors (9903805707867).

22121231010213 is a wasteful number, since it uses less digits than its factorization.

22121231010213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197478.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 22121231010213 its reverse (31201013212122), we get a palindrome (53322244222335).

The spelling of 22121231010213 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred thirty-one million, ten thousand, two hundred thirteen".

Divisors: 1 3 19 47 57 141 167 251 501 753 893 2679 3173 4769 7849 9519 11797 14307 23547 35391 41917 125751 149131 196991 224143 447393 590973 672429 796423 1970099 2389269 3742829 5910297 9258577 11228487 27775731 32897497 37431881 49444741 98692491 112295643 148334223 175912963 527738889 625052443 939450079 1546182359 1875157329 2323902827 2818350237 4638547077 6971708481 8257271747 24771815241 29377464821 44154153713 88132394463 132462461139 156888163193 388091772109 470664489579 1164275316327 7373743670071 22121231010213