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1101133040 = 24572119319
BaseRepresentation
bin100000110100001…
…1111010011110000
32211201222100120012
41001220133103300
54223342224130
6301133034052
736200322260
oct10150372360
92751870505
101101133040
11515619607
12268925928
13147189617
14a63557a0
1566a0b995
hex41a1f4f0

1101133040 has 80 divisors (see below), whose sum is σ = 2940049920. Its totient is φ = 375701760.

The previous prime is 1101133031. The next prime is 1101133067. The reversal of 1101133040 is 403311011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 113501 + ... + 122819.

It is an arithmetic number, because the mean of its divisors is an integer number (36750624).

Almost surely, 21101133040 is an apocalyptic number.

1101133040 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 1101133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470024960).

1101133040 is an abundant number, since it is smaller than the sum of its proper divisors (1838916880).

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

1101133040 is a wasteful number, since it uses less digits than its factorization.

1101133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1101133040 is about 33183.3247279413. The cubic root of 1101133040 is about 1032.6344225199.

Adding to 1101133040 its reverse (403311011), we get a palindrome (1504444051).

The spelling of 1101133040 in words is "one billion, one hundred one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 211 280 422 560 844 1055 1477 1688 2110 2954 3376 4220 5908 7385 8440 9319 11816 14770 16880 18638 23632 29540 37276 46595 59080 65233 74552 93190 118160 130466 149104 186380 260932 326165 372760 521864 652330 745520 1043728 1304660 1966309 2609320 3932618 5218640 7865236 9831545 13764163 15730472 19663090 27528326 31460944 39326180 55056652 68820815 78652360 110113304 137641630 157304720 220226608 275283260 550566520 1101133040