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133114321350 = 23352541182261
BaseRepresentation
bin111101111111000111…
…0110101100111000110
3110201120222002011101000
41323332032311213012
54140104231240400
6141052445514130
712421461030303
oct1737616654706
9421528064330
10133114321350
11514a962292a
122196b872946
13c72517532a
14662ad500aa
1536e148a600
hex1efe3b59c6

133114321350 has 96 divisors (see below), whose sum is σ = 367483934880. Its totient is φ = 35431344000.

The previous prime is 133114321337. The next prime is 133114321367. The reversal of 133114321350 is 53123411331.

133114321350 is a `hidden beast` number, since 1 + 331 + 1 + 4 + 321 + 3 + 5 + 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, 639220 + ... + 821480.

It is an arithmetic number, because the mean of its divisors is an integer number (3827957655).

Almost surely, 2133114321350 is an apocalyptic number.

133114321350 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 133114321350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183741967440).

133114321350 is an abundant number, since it is smaller than the sum of its proper divisors (234369613530).

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

133114321350 is a wasteful number, since it uses less digits than its factorization.

133114321350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182823 (or 182812 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 133114321350 its reverse (53123411331), we get a palindrome (186237732681).

The spelling of 133114321350 in words is "one hundred thirty-three billion, one hundred fourteen million, three hundred twenty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 541 675 1082 1350 1623 2705 3246 4869 5410 8115 9738 13525 14607 16230 24345 27050 29214 40575 48690 73035 81150 121725 146070 182261 243450 364522 365175 546783 730350 911305 1093566 1640349 1822610 2733915 3280698 4556525 4921047 5467830 8201745 9113050 9842094 13669575 16403490 24605235 27339150 41008725 49210470 82017450 98603201 123026175 197206402 246052350 295809603 493016005 591619206 887428809 986032010 1479048015 1774857618 2465080025 2662286427 2958096030 4437144045 4930160050 5324572854 7395240075 8874288090 13311432135 14790480150 22185720225 26622864270 44371440450 66557160675 133114321350