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1131201390 = 235119735339
BaseRepresentation
bin100001101101100…
…1100001101101110
32220211112222120210
41003123030031232
54304041421030
6304125323250
740014024144
oct10333141556
92824488523
101131201390
11530596390
12276a06526
13150486747
14aa341594
156949abb0
hex436cc36e

1131201390 has 64 divisors (see below), whose sum is σ = 2992308480. Its totient is φ = 271395840.

The previous prime is 1131201373. The next prime is 1131201391. The reversal of 1131201390 is 931021311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131201391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14341 + ... + 49679.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 21131201390 is an apocalyptic number.

1131201390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131201390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496154240).

1131201390 is an abundant number, since it is smaller than the sum of its proper divisors (1861107090).

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

1131201390 is a wasteful number, since it uses less digits than its factorization.

1131201390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35457.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 1131201390 is about 33633.3374793522. The cubic root of 1131201390 is about 1041.9494346861.

The spelling of 1131201390 in words is "one billion, one hundred thirty-one million, two hundred one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 291 330 485 582 970 1067 1455 2134 2910 3201 5335 6402 10670 16005 32010 35339 70678 106017 176695 212034 353390 388729 530085 777458 1060170 1166187 1943645 2332374 3427883 3887290 5830935 6855766 10283649 11661870 17139415 20567298 34278830 37706713 51418245 75413426 102836490 113120139 188533565 226240278 377067130 565600695 1131201390