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2233132222113 = 331343227112697
BaseRepresentation
bin100000011111110001000…
…011011000011010100001
321220111002211020210211000
4200133301003120122201
5243041423322101423
64425515313342213
7320224045460562
oct40376103303241
97814084223730
102233132222113
1179107aa15931
12300967567969
13132777b45bb0
147a126da0169
153d15003b843
hex207f10d86a1

2233132222113 has 96 divisors (see below), whose sum is σ = 3661363668480. Its totient is φ = 1337217880320.

The previous prime is 2233132222073. The next prime is 2233132222127. The reversal of 2233132222113 is 3112222313322.

2233132222113 is a `hidden beast` number, since 2 + 2 + 331 + 322 + 2 + 2 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 2233132222113 - 214 = 2233132205729 is a prime.

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 (2233132222313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175872381 + ... + 175885077.

It is an arithmetic number, because the mean of its divisors is an integer number (38139204880).

Almost surely, 22233132222113 is an apocalyptic number.

It is an amenable number.

2233132222113 is a deficient number, since it is larger than the sum of its proper divisors (1428231446367).

2233132222113 is a wasteful number, since it uses less digits than its factorization.

2233132222113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13076 (or 13027 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2233132222113 its reverse (3112222313322), we get a palindrome (5345354535435).

The spelling of 2233132222113 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 43 117 129 271 351 387 559 813 1161 1677 1849 2439 3523 5031 5547 7317 10569 11653 12697 15093 16641 24037 31707 34959 38091 49923 72111 95121 104877 114273 151489 165061 216333 314631 342819 454467 495183 501079 545971 648999 1363401 1485549 1503237 1637913 3440887 4090203 4456647 4509711 4913739 6514027 7097623 10322661 13529133 14741217 19542081 21292869 23476753 30967983 44731531 58626243 63878607 70430259 92903949 134194593 147958141 175878729 191635821 211290777 305197789 402583779 443874423 633872331 915593367 1207751337 1331623269 1923455833 2746780101 3994869807 5770367499 6362200063 8240340303 17311102497 19086600189 51933307491 57259800567 82708600819 171779401701 248125802457 744377407371 2233132222113