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10132222310001 = 351114251265987
BaseRepresentation
bin1001001101110001011110…
…0000101111011001110001
31022212122000222211112200000
42103130113200233121301
52312001242402410001
633314402332020213
72064012625420461
oct223342740573161
938778028745600
1010132222310001
113257062390590
121177838901669
1358660657338c
1427058b801ba1
15128867e2da86
hex9371782f671

10132222310001 has 48 divisors (see below), whose sum is σ = 16558480743168. Its totient is φ = 6140286810000.

The previous prime is 10132222309973. The next prime is 10132222310057. The reversal of 10132222310001 is 10001322223101.

10132222310001 is a `hidden beast` number, since 1 + 0 + 132 + 222 + 310 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 10132222310001 - 223 = 10132213921393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10132222330001) 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 47 ways as a sum of consecutive naturals, for example, 37959930 + ... + 38225916.

It is an arithmetic number, because the mean of its divisors is an integer number (344968348816).

Almost surely, 210132222310001 is an apocalyptic number.

10132222310001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10132222310001 is a deficient number, since it is larger than the sum of its proper divisors (6426258433167).

10132222310001 is a wasteful number, since it uses less digits than its factorization.

10132222310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280264 (or 280252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132222310001 its reverse (10001322223101), we get a palindrome (20133544533102).

The spelling of 10132222310001 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty-two million, three hundred ten thousand, one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 14251 42753 128259 156761 265987 384777 470283 797961 1154331 1410849 2393883 2925857 3462993 4232547 7181649 8777571 12697641 21544947 26332713 38092923 64634841 78998139 236994417 710983251 3790580737 11371742211 34115226633 41696388107 102345679899 125089164321 307037039697 375267492963 921111119091 1125802478889 3377407436667 10132222310001