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10132221322113 = 3111923702601853
BaseRepresentation
bin1001001101110001011101…
…1100111110001110000001
31022212122000220222100112120
42103130113130332032001
52312001242124301423
633314402254514453
72064012614134362
oct223342734761601
938778026870476
1010132221322113
113257061876350
121177838505a29
135866062b8827
1427058b625b69
15128867cd5ee3
hex9371773e381

10132221322113 has 32 divisors (see below), whose sum is σ = 16187946716160. Its totient is φ = 5564606667840.

The previous prime is 10132221322109. The next prime is 10132221322117. The reversal of 10132221322113 is 31122312223101.

It is an interprime number because it is at equal distance from previous prime (10132221322109) and next prime (10132221322117).

It is not a de Polignac number, because 10132221322113 - 22 = 10132221322109 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10132221322117) 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, 351286506 + ... + 351315347.

It is an arithmetic number, because the mean of its divisors is an integer number (505873334880).

Almost surely, 210132221322113 is an apocalyptic number.

It is an amenable number.

10132221322113 is a deficient number, since it is larger than the sum of its proper divisors (6055725394047).

10132221322113 is a wasteful number, since it uses less digits than its factorization.

10132221322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702601909.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10132221322113 its reverse (31122312223101), we get a palindrome (41254533545214).

The spelling of 10132221322113 in words is "ten trillion, one hundred thirty-two billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 11 19 23 33 57 69 209 253 437 627 759 1311 4807 14421 702601853 2107805559 7728620383 13349435207 16159842619 23185861149 40048305621 48479527857 146843787277 177758268809 307037009761 440531361831 533274806427 921111029283 3377407107371 10132221322113