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30002211131319 = 327476225573513
BaseRepresentation
bin1101101001001011011110…
…01000110000111110110111
310221020011221200022212102200
412310211233020300332313
512413024012022200234
6143450454151235543
76214405521606210
oct664455710607667
9127204850285380
1030002211131319
119617959033809
123446767978bb3
13139827256a38b
1475a186cc4407
1537065de93d99
hex1b496f230fb7

30002211131319 has 12 divisors (see below), whose sum is σ = 49527459645456. Its totient is φ = 17144120646432.

The previous prime is 30002211131281. The next prime is 30002211131401. The reversal of 30002211131319 is 91313111220003.

30002211131319 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 2 + 211 + 131 + 319 = 666.

It is a de Polignac number, because none of the positive numbers 2k-30002211131319 is a prime.

It is a super-2 number, since 2×300022111313192 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30002211131292 and 30002211131301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002211131219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238112786694 + ... + 238112786819.

It is an arithmetic number, because the mean of its divisors is an integer number (4127288303788).

Almost surely, 230002211131319 is an apocalyptic number.

30002211131319 is a deficient number, since it is larger than the sum of its proper divisors (19525248514137).

30002211131319 is a wasteful number, since it uses less digits than its factorization.

30002211131319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476225573526 (or 476225573523 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 30002211131319 in words is "thirty trillion, two billion, two hundred eleven million, one hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 63 476225573513 1428676720539 3333579014591 4286030161617 10000737043773 30002211131319