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10120031220231 = 3267149112636273
BaseRepresentation
bin1001001101000100000011…
…0111011011001000000111
31022211110120101011000102200
42103101000313123020013
52311301310443021411
633305024514405543
72063101544026632
oct223210067331007
938743511130380
1010120031220231
113251976882389
1211753b5b908b3
135854129540aa
1426db52680c19
151283a2a13e56
hex93440ddb207

10120031220231 has 24 divisors (see below), whose sum is σ = 14935569932400. Its totient is φ = 6601386629376.

The previous prime is 10120031220203. The next prime is 10120031220263. The reversal of 10120031220231 is 13202213002101.

10120031220231 is a `hidden beast` number, since 1 + 0 + 120 + 0 + 312 + 2 + 0 + 231 = 666.

It is not a de Polignac number, because 10120031220231 - 25 = 10120031220199 is a prime.

It is a super-3 number, since 3×101200312202313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120031220731) 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 23 ways as a sum of consecutive naturals, for example, 56228290 + ... + 56407983.

It is an arithmetic number, because the mean of its divisors is an integer number (622315413850).

Almost surely, 210120031220231 is an apocalyptic number.

10120031220231 is a deficient number, since it is larger than the sum of its proper divisors (4815538712169).

10120031220231 is a wasteful number, since it uses less digits than its factorization.

10120031220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112636495 (or 112636492 counting only the distinct ones).

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

Adding to 10120031220231 its reverse (13202213002101), we get a palindrome (23322244222332).

The spelling of 10120031220231 in words is "ten trillion, one hundred twenty billion, thirty-one million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 67 149 201 447 603 1341 9983 29949 89847 112636273 337908819 1013726457 7546630291 16782804677 22639890873 50348414031 67919672619 151045242093 1124447913359 3373343740077 10120031220231