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10228221511101 = 32111031003061833
BaseRepresentation
bin1001010011010111000110…
…0000101000010110111101
31100012210211100021020120200
42110311301200220112331
52320034344201323401
633430440300034113
72103651602234316
oct224656140502675
940183740236520
1010228221511101
113293845437210
12119236a832939
13592695241899
1427509738160d
1512b0d5cd6686
hex94d718285bd

10228221511101 has 24 divisors (see below), whose sum is σ = 16273675194816. Its totient is φ = 6138738411840.

The previous prime is 10228221511099. The next prime is 10228221511129. The reversal of 10228221511101 is 10111512282201.

10228221511101 is a `hidden beast` number, since 1 + 0 + 2 + 28 + 2 + 21 + 511 + 101 = 666.

It is not a de Polignac number, because 10228221511101 - 21 = 10228221511099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228221511171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501520720 + ... + 501541113.

It is an arithmetic number, because the mean of its divisors is an integer number (678069799784).

Almost surely, 210228221511101 is an apocalyptic number.

10228221511101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10228221511101 is a deficient number, since it is larger than the sum of its proper divisors (6045453683715).

10228221511101 is a wasteful number, since it uses less digits than its factorization.

10228221511101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003061953 (or 1003061950 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 27.

Adding to 10228221511101 its reverse (10111512282201), we get a palindrome (20339733793302).

The spelling of 10228221511101 in words is "ten trillion, two hundred twenty-eight billion, two hundred twenty-one million, five hundred eleven thousand, one hundred one".

Divisors: 1 3 9 11 33 99 103 309 927 1133 3399 10197 1003061833 3009185499 9027556497 11033680163 33101040489 99303121467 103315368799 309946106397 929838319191 1136469056789 3409407170367 10228221511101