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1133383105120 = 25571637618173
BaseRepresentation
bin10000011111100010111…
…001011011101001100000
311000100110102021012212111
4100133202321123221200
5122032132033330440
62224400301205104
7144612201303430
oct20374271335140
94010412235774
101133383105120
113a7735240a72
121637a7860794
1382b5402c206
143cbdad622c0
151e7365e64ea
hex107e2e5ba60

1133383105120 has 96 divisors (see below), whose sum is σ = 3062008692288. Its totient is φ = 388350486528.

The previous prime is 1133383105109. The next prime is 1133383105139. The reversal of 1133383105120 is 215013833311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524354 + ... + 2142526.

It is an arithmetic number, because the mean of its divisors is an integer number (31895923878).

Almost surely, 21133383105120 is an apocalyptic number.

1133383105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133383105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531004346144).

1133383105120 is an abundant number, since it is smaller than the sum of its proper divisors (1928625587168).

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

1133383105120 is a wasteful number, since it uses less digits than its factorization.

1133383105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619832 (or 619824 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 1133383105120 its reverse (215013833311), we get a palindrome (1348396938431).

The spelling of 1133383105120 in words is "one trillion, one hundred thirty-three billion, three hundred eighty-three million, one hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1637 3274 6548 8185 11459 13096 16370 22918 26192 32740 45836 52384 57295 65480 91672 114590 130960 183344 229180 261920 366688 458360 618173 916720 1236346 1833440 2472692 3090865 4327211 4945384 6181730 8654422 9890768 12363460 17308844 19781536 21636055 24726920 34617688 43272110 49453840 69235376 86544220 98907680 138470752 173088440 346176880 692353760 1011949201 2023898402 4047796804 5059746005 7083644407 8095593608 10119492010 14167288814 16191187216 20238984020 28334577628 32382374432 35418222035 40477968040 56669155256 70836444070 80955936080 113338310512 141672888140 161911872160 226676621024 283345776280 566691552560 1133383105120