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113223310233013 = 175312713746115667
BaseRepresentation
bin11001101111100111011011…
…001011111100110110110101
3112211220001011011102021100001
4121233213123023330312311
5104320022314404424023
61040450023132351301
732564054114446651
oct3157473313746665
9484801134367301
10113223310233013
11330928109a0152
1210847529615531
134b23bb25510c6
141dd6074ac1a61
15d152e8a6b6ad
hex66f9db2fcdb5

113223310233013 has 64 divisors (see below), whose sum is σ = 124282751459328. Its totient is φ = 102742169886720.

The previous prime is 113223310232993. The next prime is 113223310233017. The reversal of 113223310233013 is 310332013322311.

It is a happy number.

It is not a de Polignac number, because 113223310233013 - 225 = 113223276678581 is a prime.

It is a super-2 number, since 2×1132233102330132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113223310233017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7226858206 + ... + 7226873872.

It is an arithmetic number, because the mean of its divisors is an integer number (1941917991552).

Almost surely, 2113223310233013 is an apocalyptic number.

It is an amenable number.

113223310233013 is a deficient number, since it is larger than the sum of its proper divisors (11059441226315).

113223310233013 is a wasteful number, since it uses less digits than its factorization.

113223310233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16462.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 113223310233013 its reverse (310332013322311), we get a palindrome (423555323555324).

The spelling of 113223310233013 in words is "one hundred thirteen trillion, two hundred twenty-three billion, three hundred ten million, two hundred thirty-three thousand, thirteen".

Divisors: 1 17 53 127 137 461 901 2159 2329 6731 7261 7837 15667 17399 24433 58547 63157 114427 123437 266339 295783 415361 830351 922147 995299 1073669 1989709 2146379 3102991 3347321 7222487 8020939 14115967 15676499 33825053 36488443 52750847 56904457 105454577 113758087 122782279 136355963 272590133 382791811 425109767 917255849 989480719 1792727809 1933887479 4634032261 6507460787 7226866039 14447277049 15593349433 16821172223 48614559997 52442478107 125664051313 245603709833 826447519949 891522127819 2136288872321 6660194719589 113223310233013