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13223112031242 = 235229655318131
BaseRepresentation
bin1100000001101011111011…
…1001010011110000001010
31201211010011102011001100000
43000122332321103300022
53213121413134444432
644042340325423430
72533224020516601
oct300327671236012
951733142131300
1013223112031242
11423898801a063
12159688956ab76
1374bc1b330509
1433a005838a38
1517de6bb9a57c
hexc06bee53c0a

13223112031242 has 96 divisors (see below), whose sum is σ = 29847133068480. Its totient is φ = 4387544703360.

The previous prime is 13223112031147. The next prime is 13223112031249. The reversal of 13223112031242 is 24213021132231.

13223112031242 is a `hidden beast` number, since 1 + 3 + 22 + 311 + 203 + 124 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13223112031249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729300517 + ... + 729318647.

It is an arithmetic number, because the mean of its divisors is an integer number (310907636130).

Almost surely, 213223112031242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223112031242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923566534240).

13223112031242 is an abundant number, since it is smaller than the sum of its proper divisors (16624021037238).

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

13223112031242 is a wasteful number, since it uses less digits than its factorization.

13223112031242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24930 (or 24918 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13223112031242 its reverse (24213021132231), we get a palindrome (37436133163473).

The spelling of 13223112031242 in words is "thirteen trillion, two hundred twenty-three billion, one hundred twelve million, thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 229 243 458 486 687 1374 2061 4122 6183 6553 12366 13106 18131 18549 19659 36262 37098 39318 54393 55647 58977 108786 111294 117954 163179 176931 326358 353862 489537 530793 979074 1061586 1468611 1500637 1592379 2937222 3001274 3184758 4151999 4405833 4501911 8303998 8811666 9003822 12455997 13505733 24911994 27011466 37367991 40517199 74735982 81034398 112103973 118812443 121551597 224207946 237624886 243103194 336311919 356437329 364654791 672623838 712874658 729309582 1008935757 1069311987 2017871514 2138623974 3207935961 6415871922 9623807883 19247615766 27208049447 28871423649 54416098894 57742847298 81624148341 163248296682 244872445023 489744890046 734617335069 1469234670138 2203852005207 4407704010414 6611556015621 13223112031242