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223133312013 = 319431015631601
BaseRepresentation
bin1100111111001111001…
…0000010010000001101
3210022221112200200210020
43033303302002100031
512123434111441023
6250301145132353
722056310600233
oct3176362022015
9708845620706
10223133312013
11866a2a34987
12372b2a8a0b9
131806cbb6491
14ab2a592953
155c0e318de3
hex33f3c8240d

223133312013 has 64 divisors (see below), whose sum is σ = 324402693120. Its totient is φ = 135959040000.

The previous prime is 223133312009. The next prime is 223133312021. The reversal of 223133312013 is 310213331322.

It is not a de Polignac number, because 223133312013 - 22 = 223133312009 is a prime.

It is a super-3 number, since 3×2231333120133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133312033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139370413 + ... + 139372013.

It is an arithmetic number, because the mean of its divisors is an integer number (5068792080).

Almost surely, 2223133312013 is an apocalyptic number.

It is an amenable number.

223133312013 is a deficient number, since it is larger than the sum of its proper divisors (101269381107).

223133312013 is a wasteful number, since it uses less digits than its factorization.

223133312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 223133312013 its reverse (310213331322), we get a palindrome (533346643335).

The spelling of 223133312013 in words is "two hundred twenty-three billion, one hundred thirty-three million, three hundred twelve thousand, thirteen".

Divisors: 1 3 19 43 57 101 129 303 563 817 1601 1689 1919 2451 4343 4803 5757 10697 13029 24209 30419 32091 56863 68843 72627 82517 91257 161701 170589 206529 247551 459971 485103 901363 1080397 1308017 1379913 2445109 2704089 3072319 3241191 3924051 6953143 7335327 9216957 17125897 20859429 38758609 46457071 51377691 91037663 116275827 132109717 139371213 273112989 396329151 736413571 1729715597 2209240713 3914619509 5189146791 11743858527 74377770671 223133312013