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10222210212201 = 32131013979192371
BaseRepresentation
bin1001010011000000101100…
…1101010110000101101001
31100012020022101221121201200
42110300023031112011221
52314440041303242301
633424004001034413
72103346620106461
oct224601315260551
940166271847650
1010222210212201
113291240199399
121191171625a09
13591c47a1aca0
14274a86c70ba1
1512ad831bac86
hex94c0b356169

10222210212201 has 96 divisors (see below), whose sum is σ = 16123419137280. Its totient is φ = 6203241792000.

The previous prime is 10222210212199. The next prime is 10222210212209. The reversal of 10222210212201 is 10221201222201.

It is a happy number.

10222210212201 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 212 + 20 + 1 = 666.

It is not a de Polignac number, because 10222210212201 - 21 = 10222210212199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10222210212209) 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 95 ways as a sum of consecutive naturals, for example, 4311348546 + ... + 4311350916.

It is an arithmetic number, because the mean of its divisors is an integer number (167952282680).

Almost surely, 210222210212201 is an apocalyptic number.

It is an amenable number.

10222210212201 is a deficient number, since it is larger than the sum of its proper divisors (5901208925079).

10222210212201 is a wasteful number, since it uses less digits than its factorization.

10222210212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222210212201 its reverse (10221201222201), we get a palindrome (20443411434402).

The spelling of 10222210212201 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 13 39 101 117 303 397 909 919 1191 1313 2371 2757 3573 3939 5161 7113 8271 11817 11947 15483 21339 30823 35841 40097 46449 92469 92819 107523 120291 239471 277407 278457 360873 364843 521261 718413 835371 941287 1094529 1206647 1563783 2155239 2178949 2823861 3113123 3283587 3619941 4691349 4742959 6536847 8471583 9339369 10859823 12236731 14228877 19610541 28018107 28326337 36710193 36849143 42686631 84979011 95069987 110130579 110547429 220073849 254937033 285209961 331642287 479038859 660221547 855629883 865042753 1235909831 1437116577 1980664641 2595128259 2860960037 3707729493 4311349731 7785384777 8582880111 11123188479 11245555789 25748640333 33736667367 87369318053 101210002101 262107954159 786323862477 1135801134689 3407403404067 10222210212201