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11029120302920 = 23510117411568053
BaseRepresentation
bin1010000001111110101011…
…0011000011111101001000
31110001101002100122100011012
42200133222303003331020
52421200114244143140
635242412524423052
72215553611523546
oct240375263037510
943041070570135
1011029120302920
113572472978565
1212a16260a7a88
13620070480a25
142a1b52c2ad96
15141d5ce67265
hexa07eacc3f48

11029120302920 has 64 divisors (see below), whose sum is σ = 25075629624240. Its totient is φ = 4365456768000.

The previous prime is 11029120302883. The next prime is 11029120302923. The reversal of 11029120302920 is 2920302192011.

It is a happy number.

11029120302920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1332884104036 + 9696236198884 = 1154506^2 + 3113878^2 .

It is not an unprimeable number, because it can be changed into a prime (11029120302923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6249614 + ... + 7817666.

Almost surely, 211029120302920 is an apocalyptic number.

11029120302920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11029120302920 is an abundant number, since it is smaller than the sum of its proper divisors (14046509321320).

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

11029120302920 is a wasteful number, since it uses less digits than its factorization.

11029120302920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569906 (or 1569902 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

Adding to 11029120302920 its reverse (2920302192011), we get a palindrome (13949422494931).

The spelling of 11029120302920 in words is "eleven trillion, twenty-nine billion, one hundred twenty million, three hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 1741 2020 3482 4040 6964 8705 13928 17410 34820 69640 175841 351682 703364 879205 1406728 1568053 1758410 3136106 3516820 6272212 7033640 7840265 12544424 15680530 31361060 62722120 158373353 316746706 633493412 791866765 1266986824 1583733530 2729980273 3167467060 5459960546 6334934120 10919921092 13649901365 21839842184 27299802730 54599605460 109199210920 275728007573 551456015146 1102912030292 1378640037865 2205824060584 2757280075730 5514560151460 11029120302920