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13100220304413 = 31122328316013929
BaseRepresentation
bin1011111010100010000111…
…1110100100110000011101
31201101100221212200111100220
42332220201332210300131
53204113222344220123
643510054053311553
72521313446211664
oct276504176446035
951340855614326
1013100220304413
1141a0854926860
121576ab13355b9
13740465010ca8
143340a8431ddb
1517ab77ddbce3
hexbea21fa4c1d

13100220304413 has 64 divisors (see below), whose sum is σ = 19224836628480. Its totient is φ = 7869072384000.

The previous prime is 13100220304411. The next prime is 13100220304427. The reversal of 13100220304413 is 31440302200131.

It is a happy number.

It is not a de Polignac number, because 13100220304413 - 21 = 13100220304411 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100220304411) 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 63 ways as a sum of consecutive naturals, for example, 3334235833 + ... + 3334239761.

It is an arithmetic number, because the mean of its divisors is an integer number (300388072320).

Almost surely, 213100220304413 is an apocalyptic number.

It is an amenable number.

13100220304413 is a deficient number, since it is larger than the sum of its proper divisors (6124616324067).

13100220304413 is a wasteful number, since it uses less digits than its factorization.

13100220304413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13100220304413 its reverse (31440302200131), we get a palindrome (44540522504544).

The spelling of 13100220304413 in words is "thirteen trillion, one hundred billion, two hundred twenty million, three hundred four thousand, four hundred thirteen".

Divisors: 1 3 11 33 223 283 669 849 1601 2453 3113 3929 4803 7359 9339 11787 17611 43219 52833 63109 129657 189327 357023 453083 694199 876167 1071069 1111907 1359249 2082597 2628501 3335721 3927253 4983913 6290329 9637837 11781759 12230977 14951739 18870987 28913511 36692931 69193619 101037509 207580857 247955261 303112527 743865783 1111412599 1402743367 1780163107 2727507871 3334237797 4208230101 5340489321 8182523613 15430177037 19581794177 46290531111 58745382531 396976372861 1190929118583 4366740101471 13100220304413