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122033101021131 = 3132130793111537
BaseRepresentation
bin11011101111110100001011…
…101000110001111111001011
3121000002020202122000222120010
4123233310023220301333023
5111443342242330134011
61111313122131403003
734463413001551056
oct3357641350617713
9530066678028503
10122033101021131
1135979a47148103
121182a9ba753463
13531289764ab81
14221c60db49a9d
15e195636081a6
hex6efd0ba31fcb

122033101021131 has 8 divisors (see below), whose sum is σ = 162833973812944. Its totient is φ = 81293814455040.

The previous prime is 122033101021103. The next prime is 122033101021189. The reversal of 122033101021131 is 131120101330221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122033101021131 - 25 = 122033101021099 is a prime.

It is a super-2 number, since 2×1220331010211312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122033101021098 and 122033101021107.

It is not an unprimeable number, because it can be changed into a prime (122033101021031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15396551806 + ... + 15396559731.

It is an arithmetic number, because the mean of its divisors is an integer number (20354246726618).

Almost surely, 2122033101021131 is an apocalyptic number.

122033101021131 is a deficient number, since it is larger than the sum of its proper divisors (40800872791813).

122033101021131 is a wasteful number, since it uses less digits than its factorization.

122033101021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30793112861.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 122033101021131 its reverse (131120101330221), we get a palindrome (253153202351352).

The spelling of 122033101021131 in words is "one hundred twenty-two trillion, thirty-three billion, one hundred one million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 1321 3963 30793111537 92379334611 40677700340377 122033101021131