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1135354500320 = 25531404956533
BaseRepresentation
bin10000100001011000011…
…001101101010011100000
311000112112210210110200112
4100201120121231103200
5122100201223002240
62225324043110452
7145012100010335
oct20413031552340
94015483713615
101135354500320
113a85570203a7
12164057b12428
13830a959c651
143cd46ad298c
151e7ee708665
hex1085866d4e0

1135354500320 has 96 divisors (see below), whose sum is σ = 2769532819200. Its totient is φ = 439375749120.

The previous prime is 1135354500317. The next prime is 1135354500349. The reversal of 1135354500320 is 230054535311.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 20054774 + ... + 20111306.

It is an arithmetic number, because the mean of its divisors is an integer number (28849300200).

Almost surely, 21135354500320 is an apocalyptic number.

1135354500320 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 1135354500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384766409600).

1135354500320 is an abundant number, since it is smaller than the sum of its proper divisors (1634178318880).

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

1135354500320 is a wasteful number, since it uses less digits than its factorization.

1135354500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60628 (or 60620 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 1135354500320 in words is "one trillion, one hundred thirty-five billion, three hundred fifty-four million, five hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4049 4960 8098 16196 20245 32392 40490 56533 64784 80980 113066 125519 129568 161960 226132 251038 282665 323920 452264 502076 565330 627595 647840 904528 1004152 1130660 1255190 1752523 1809056 2008304 2261320 2510380 3505046 4016608 4522640 5020760 7010092 8762615 9045280 10041520 14020184 17525230 20083040 28040368 35050460 56080736 70100920 140201840 228902117 280403680 457804234 915608468 1144510585 1831216936 2289021170 3662433872 4578042340 7095965627 7324867744 9156084680 14191931254 18312169360 28383862508 35479828135 36624338720 56767725016 70959656270 113535450032 141919312540 227070900064 283838625080 567677250160 1135354500320