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13106541410622 = 23211613901311981
BaseRepresentation
bin1011111010111001101010…
…1111101011100100111110
31201101222021101221221221200
42332232122233223210332
53204214144100114442
643513021220440330
72521626212554032
oct276563257534476
951358241857850
1013106541410622
1141a34a8a37480
1215781762490a6
13740c3178761a
14334507b4a1c2
1517ade7d0234c
hexbeb9abeb93e

13106541410622 has 96 divisors (see below), whose sum is σ = 31035667699296. Its totient is φ = 3964429267200.

The previous prime is 13106541410603. The next prime is 13106541410671. The reversal of 13106541410622 is 22601414560131.

13106541410622 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 5 + 4 + 14 + 10 + 622 = 666.

It is a super-2 number, since 2×131065414106222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1093937872 + ... + 1093949852.

It is an arithmetic number, because the mean of its divisors is an integer number (323288205201).

Almost surely, 213106541410622 is an apocalyptic number.

13106541410622 is an abundant number, since it is smaller than the sum of its proper divisors (17929126288674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13106541410622 is a wasteful number, since it uses less digits than its factorization.

13106541410622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21626 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 13106541410622 its reverse (22601414560131), we get a palindrome (35707955970753).

The spelling of 13106541410622 in words is "thirteen trillion, one hundred six billion, five hundred forty-one million, four hundred ten thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 613 1226 1839 3678 5517 6743 9013 11034 11981 13486 18026 20229 23962 27039 35943 40458 54078 60687 71886 81117 99143 107829 121374 131791 162234 198286 215658 263582 297429 395373 594858 790746 892287 1186119 1784574 2372238 5524969 7344353 11049938 14688706 16574907 22033059 33149814 44066118 49724721 60774659 66099177 80787883 99449442 107984753 121549318 132198354 161575766 182323977 215969506 242363649 323954259 364647954 484727298 546971931 647908518 727090947 971862777 1093943862 1187832283 1454181894 1943725554 2375664566 3563496849 7126993698 10690490547 21380981094 66194653589 132389307178 198583960767 397167921534 595751882301 728141189479 1191503764602 1456282378958 2184423568437 4368847136874 6553270705311 13106541410622