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13215141031224 = 23311531325971233
BaseRepresentation
bin1100000001001110001111…
…0010010110110100111000
31201210100120220022021221010
43000103203302112310320
53213004102100444344
644034541343313520
72532522341241516
oct300234362266470
951710526267833
1013215141031224
114235567659840
121595223bab8a0
1374b24ab02162
1433988ad5d4b6
1517db51ecc8b9
hexc04e3c96d38

13215141031224 has 128 divisors (see below), whose sum is σ = 36724603219200. Its totient is φ = 3928678440960.

The previous prime is 13215141031219. The next prime is 13215141031259. The reversal of 13215141031224 is 42213014151231.

It is a super-2 number, since 2×132151410312242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13215141031191 and 13215141031200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185484312 + ... + 185555544.

It is an arithmetic number, because the mean of its divisors is an integer number (286910962650).

Almost surely, 213215141031224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13215141031224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18362301609600).

13215141031224 is an abundant number, since it is smaller than the sum of its proper divisors (23509462187976).

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

13215141031224 is a wasteful number, since it uses less digits than its factorization.

13215141031224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84565 (or 84561 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 13215141031224 its reverse (42213014151231), we get a palindrome (55428155182455).

The spelling of 13215141031224 in words is "thirteen trillion, two hundred fifteen billion, one hundred forty-one million, thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13259 13992 26518 39777 53036 71233 79554 106072 142466 145849 159108 213699 284932 291698 318216 427398 437547 569864 583396 702727 783563 854796 875094 1166792 1405454 1567126 1709592 1750188 2108181 2350689 2810908 3134252 3500376 3775349 4216362 4701378 5621816 6268504 7550698 7729997 8432724 9402756 11326047 15101396 15459994 16865448 18805512 22652094 23189991 30202792 30919988 41528839 45304188 46379982 61839976 83057678 90608376 92759964 124586517 166115356 185519928 249173034 332230712 498346068 944478347 996692136 1888956694 2833435041 3777913388 5666870082 7555826776 10389261817 11333740164 20778523634 22667480328 31167785451 41557047268 50057352391 62335570902 83114094536 100114704782 124671141804 150172057173 200229409564 249342283608 300344114346 400458819128 550630876301 600688228692 1101261752602 1201376457384 1651892628903 2202523505204 3303785257806 4405047010408 6607570515612 13215141031224