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113324142241310 = 2571113101112090031
BaseRepresentation
bin11001110001000101010101…
…001111100010011000011110
3112212020200102022122000101212
4121301011111033202120132
5104323200320403210220
61041004220420304422
732604253613413430
oct3161052517423036
9485220368560355
10113324142241310
1133121553a39410
1210862b89b42112
134b3056153c840
141ddacbc440650
15d17c4ad520c5
hex6711553e261e

113324142241310 has 128 divisors (see below), whose sum is σ = 276591569522688. Its totient is φ = 32281928640000.

The previous prime is 113324142241207. The next prime is 113324142241339. The reversal of 113324142241310 is 13142241423311.

It is a super-2 number, since 2×1133241422413102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 55034006 + ... + 57056025.

It is an arithmetic number, because the mean of its divisors is an integer number (2160871636896).

Almost surely, 2113324142241310 is an apocalyptic number.

113324142241310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113324142241310 is an abundant number, since it is smaller than the sum of its proper divisors (163267427281378).

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

113324142241310 is a wasteful number, since it uses less digits than its factorization.

113324142241310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112090170.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 113324142241310 its reverse (13142241423311), we get a palindrome (126466383664621).

It can be divided in two parts, 113 and 324142241310, that added together give a palindrome (324142241423).

The spelling of 113324142241310 in words is "one hundred thirteen trillion, three hundred twenty-four billion, one hundred forty-two million, two hundred forty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 101 110 130 143 154 182 202 286 385 455 505 707 715 770 910 1001 1010 1111 1313 1414 1430 2002 2222 2626 3535 5005 5555 6565 7070 7777 9191 10010 11110 13130 14443 15554 18382 28886 38885 45955 72215 77770 91910 101101 144430 202202 505505 1011010 112090031 224180062 560450155 784630217 1120900310 1232990341 1457170403 1569260434 2465980682 2914340806 3923151085 6164951705 7285852015 7846302170 8630932387 10200192821 11321093131 12329903410 14571704030 16028874433 17261864774 20400385642 22642186262 32057748866 43154661935 51000964105 56605465655 79247651917 80144372165 86309323870 102001928210 112202121031 113210931310 124532024441 147174210703 158495303834 160288744330 224404242062 249064048882 294348421406 396238259585 561010605155 622660122205 735871053515 792476519170 871724171087 1030219474921 1122021210310 1245320244410 1471742107030 1618916317733 1743448342174 2060438949842 3237832635466 4358620855435 5151097374605 8094581588665 8717241710870 10302194749210 11332414224131 16189163177330 22664828448262 56662071120655 113324142241310