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13002042241123 = 1312011061378467
BaseRepresentation
bin1011110100110100011000…
…0110111111000001100011
31201000222112200100010102121
42331031012012333001203
53201011140303203443
643353020012525111
72511236504354215
oct275150606770143
951028480303377
1013002042241123
114163153978781
12155ba71780797
13734119b02410
1432d4333585b5
1517832dae04ed
hexbd3461bf063

13002042241123 has 16 divisors (see below), whose sum is σ = 14015357175456. Its totient is φ = 11990609164800.

The previous prime is 13002042241099. The next prime is 13002042241163. The reversal of 13002042241123 is 32114224020031.

It is a cyclic number.

It is not a de Polignac number, because 13002042241123 - 225 = 13002008686691 is a prime.

It is a super-2 number, since 2×130020422411232 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13002042241163) 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 15 ways as a sum of consecutive naturals, for example, 165661536 + ... + 165740002.

It is an arithmetic number, because the mean of its divisors is an integer number (875959823466).

Almost surely, 213002042241123 is an apocalyptic number.

13002042241123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13002042241123 is a deficient number, since it is larger than the sum of its proper divisors (1013314934333).

13002042241123 is a wasteful number, since it uses less digits than its factorization.

13002042241123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90294.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13002042241123 its reverse (32114224020031), we get a palindrome (45116266261154).

The spelling of 13002042241123 in words is "thirteen trillion, two billion, forty-two million, two hundred forty-one thousand, one hundred twenty-three".

Divisors: 1 13 1201 10613 15613 78467 137969 1020071 12746213 94238867 165700769 832770271 1225105271 10826013523 1000157095471 13002042241123