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11023013112120 = 2332535386740739
BaseRepresentation
bin1010000001100111111011…
…0001111110100100111000
31110000210022201212220100100
42200121332301332210320
52421100112324041440
635235522522235400
72215246353333552
oct240317661764470
943023281786310
1011023013112120
11356a919594739
1212a0400955b60
1361c609124469
142a1733ab84d2
15141b01c09230
hexa067ec7e938

11023013112120 has 96 divisors (see below), whose sum is σ = 35926279693200. Its totient is φ = 2931143018496.

The previous prime is 11023013112113. The next prime is 11023013112193. The reversal of 11023013112120 is 2121131032011.

11023013112120 is a `hidden beast` number, since 1 + 1 + 0 + 230 + 1 + 311 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11023013112093 and 11023013112102.

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 23 ways as a sum of consecutive naturals, for example, 43243290 + ... + 43497449.

Almost surely, 211023013112120 is an apocalyptic number.

11023013112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11023013112120 is an abundant number, since it is smaller than the sum of its proper divisors (24903266581080).

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

11023013112120 is a wasteful number, since it uses less digits than its factorization.

11023013112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86741109 (or 86741102 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11023013112120 its reverse (2121131032011), we get a palindrome (13144144144131).

The spelling of 11023013112120 in words is "eleven trillion, twenty-three billion, thirteen million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 353 360 706 1059 1412 1765 2118 2824 3177 3530 4236 5295 6354 7060 8472 10590 12708 14120 15885 21180 25416 31770 42360 63540 127080 86740739 173481478 260222217 346962956 433703695 520444434 693925912 780666651 867407390 1040888868 1301111085 1561333302 1734814780 2081777736 2602222170 3122666604 3469629560 3903333255 5204444340 6245333208 7806666510 10408888680 15613333020 30619480867 31226666040 61238961734 91858442601 122477923468 153097404335 183716885202 244955846936 275575327803 306194808670 367433770404 459292213005 551150655606 612389617340 734867540808 918584426010 1102301311212 1224779234680 1377876639015 1837168852020 2204602622424 2755753278030 3674337704040 5511506556060 11023013112120