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1355331150 = 233525931693
BaseRepresentation
bin101000011001000…
…1011011001001110
310111110021221211000
41100302023121032
510233431044100
6342253241130
745405060525
oct12062133116
93443257730
101355331150
1163605a398
12319a931a6
13187a3bac4
14cc0054bc
157debe900
hex50c8b64e

1355331150 has 96 divisors (see below), whose sum is σ = 3743197920. Its totient is φ = 360599040.

The previous prime is 1355331139. The next prime is 1355331181. The reversal of 1355331150 is 511335531.

1355331150 is a `hidden beast` number, since 13 + 5 + 533 + 115 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799704 + ... + 801396.

It is an arithmetic number, because the mean of its divisors is an integer number (38991645).

Almost surely, 21355331150 is an apocalyptic number.

1355331150 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 1355331150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871598960).

1355331150 is an abundant number, since it is smaller than the sum of its proper divisors (2387866770).

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

1355331150 is a wasteful number, since it uses less digits than its factorization.

1355331150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 1355331150 is about 36814.8224224972. The cubic root of 1355331150 is about 1106.6623627879.

Adding to 1355331150 its reverse (511335531), we get a palindrome (1866666681).

It can be divided in two parts, 1355331 and 150, that added together give a triangular number (1355481 = T1646).

The spelling of 1355331150 in words is "one billion, three hundred fifty-five million, three hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 593 675 1186 1350 1693 1779 2965 3386 3558 5079 5337 5930 8465 8895 10158 10674 14825 15237 16011 16930 17790 25395 26685 29650 30474 32022 42325 44475 45711 50790 53370 76185 80055 84650 88950 91422 126975 133425 152370 160110 228555 253950 266850 380925 400275 457110 761850 800550 1003949 1142775 2007898 2285550 3011847 5019745 6023694 9035541 10039490 15059235 18071082 25098725 27106623 30118470 45177705 50197450 54213246 75296175 90355410 135533115 150592350 225888525 271066230 451777050 677665575 1355331150