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1135140120 = 233255236029
BaseRepresentation
bin100001110101000…
…1101110100011000
32221002222002111200
41003222031310120
54311043440440
6304345554200
740062350262
oct10352156430
92832862450
101135140120
11532836634
122781a5960
1315123545a
14aaa88b32
15699c7c30
hex43a8dd18

1135140120 has 96 divisors (see below), whose sum is σ = 3696872400. Its totient is φ = 302075136.

The previous prime is 1135140109. The next prime is 1135140143. The reversal of 1135140120 is 210415311.

It is a super-2 number, since 2×11351401202 = 2577086184067228800, which contains 22 as substring.

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 = 1135140093 and 1135140102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185266 + ... + 191294.

Almost surely, 21135140120 is an apocalyptic number.

1135140120 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 1135140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848436200).

1135140120 is an abundant number, since it is smaller than the sum of its proper divisors (2561732280).

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

1135140120 is a wasteful number, since it uses less digits than its factorization.

1135140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1135140120 is about 33691.8405552442. The cubic root of 1135140120 is about 1043.1573550251.

Adding to 1135140120 its reverse (210415311), we get a palindrome (1345555431).

The spelling of 1135140120 in words is "one billion, one hundred thirty-five million, one hundred forty 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 90 120 180 360 523 1046 1569 2092 2615 3138 4184 4707 5230 6029 6276 7845 9414 10460 12058 12552 15690 18087 18828 20920 23535 24116 30145 31380 36174 37656 47070 48232 54261 60290 62760 72348 90435 94140 108522 120580 144696 180870 188280 217044 241160 271305 361740 434088 542610 723480 1085220 2170440 3153167 6306334 9459501 12612668 15765835 18919002 25225336 28378503 31531670 37838004 47297505 56757006 63063340 75676008 94595010 113514012 126126680 141892515 189190020 227028024 283785030 378380040 567570060 1135140120