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11133412020 = 2232571871159
BaseRepresentation
bin10100101111001101…
…00110001010110100
31001201220110221010100
422113212212022310
5140300123141040
65040431354100
7542616304113
oct122746461264
931656427110
1011133412020
1147a3580265
1221a8682930
131085769183
147788bbc7a
15452643b30
hex2979a62b4

11133412020 has 72 divisors (see below), whose sum is σ = 34247041920. Its totient is φ = 2927090880.

The previous prime is 11133412019. The next prime is 11133412109. The reversal of 11133412020 is 2021433111.

11133412020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11133411984 and 11133412002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422800 + ... + 448359.

It is an arithmetic number, because the mean of its divisors is an integer number (475653360).

Almost surely, 211133412020 is an apocalyptic number.

11133412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133412020 is an abundant number, since it is smaller than the sum of its proper divisors (23113629900).

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

11133412020 is a wasteful number, since it uses less digits than its factorization.

11133412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871245 (or 871240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11133412020 its reverse (2021433111), we get a palindrome (13154845131).

The spelling of 11133412020 in words is "eleven billion, one hundred thirty-three million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 871159 1742318 2613477 3484636 4355795 5226954 7840431 8711590 10453908 13067385 15680862 17423180 26134770 31361724 39202155 52269540 61852289 78404310 123704578 156808620 185556867 247409156 309261445 371113734 556670601 618522890 742227468 927784335 1113341202 1237045780 1855568670 2226682404 2783353005 3711137340 5566706010 11133412020