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1131357700 = 2252111576551
BaseRepresentation
bin100001101101111…
…0010011000000100
32220211211221000001
41003123302120010
54304111421300
6304132531044
740015244644
oct10333623004
92824757001
101131357700
11530692870
12276a80a84
1315050c935
14aa382524
15694cc16a
hex436f2604

1131357700 has 72 divisors (see below), whose sum is σ = 2695702464. Its totient is φ = 408720000.

The previous prime is 1131357697. The next prime is 1131357709. The reversal of 1131357700 is 77531311.

It is not an unprimeable number, because it can be changed into a prime (1131357709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169425 + ... + 175975.

It is an arithmetic number, because the mean of its divisors is an integer number (37440312).

Almost surely, 21131357700 is an apocalyptic number.

1131357700 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 1131357700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347851232).

1131357700 is an abundant number, since it is smaller than the sum of its proper divisors (1564344764).

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

1131357700 is a wasteful number, since it uses less digits than its factorization.

1131357700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 1131357700 is about 33635.6611351702. The cubic root of 1131357700 is about 1041.9974248484.

The spelling of 1131357700 in words is "one billion, one hundred thirty-one million, three hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 157 220 275 314 550 628 785 1100 1570 1727 3140 3454 3925 6551 6908 7850 8635 13102 15700 17270 26204 32755 34540 43175 65510 72061 86350 131020 144122 163775 172700 288244 327550 360305 655100 720610 1028507 1441220 1801525 2057014 3603050 4114028 5142535 7206100 10285070 11313577 20570140 22627154 25712675 45254308 51425350 56567885 102850700 113135770 226271540 282839425 565678850 1131357700