Search a number
-
+
133031431520 = 25513132748197
BaseRepresentation
bin111101111100101001…
…0101000110101100000
3110201101012002220220022
41323321102220311200
54134422021302040
6141040325133012
712416433340061
oct1737122506540
9421335086808
10133031431520
1151466858539
1221947b5a168
13c710c427b0
14661dd34568
1536d90656b5
hex1ef94a8d60

133031431520 has 96 divisors (see below), whose sum is σ = 338724747648. Its totient is φ = 49081264128.

The previous prime is 133031431513. The next prime is 133031431523. The reversal of 133031431520 is 25134130331.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 133031431520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031431523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736062 + ... + 2784258.

It is an arithmetic number, because the mean of its divisors is an integer number (3528382788).

Almost surely, 2133031431520 is an apocalyptic number.

133031431520 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 133031431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169362373824).

133031431520 is an abundant number, since it is smaller than the sum of its proper divisors (205693316128).

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

133031431520 is a wasteful number, since it uses less digits than its factorization.

133031431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49552 (or 49544 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 133031431520 its reverse (25134130331), we get a palindrome (158165561851).

The spelling of 133031431520 in words is "one hundred thirty-three billion, thirty-one million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1327 2080 2654 5308 6635 10616 13270 17251 21232 26540 34502 42464 48197 53080 69004 86255 96394 106160 138008 172510 192788 212320 240985 276016 345020 385576 481970 552032 626561 690040 771152 963940 1253122 1380080 1542304 1927880 2506244 2760160 3132805 3855760 5012488 6265610 7711520 10024976 12531220 20049952 25062440 50124880 63957419 100249760 127914838 255829676 319787095 511659352 639574190 831446447 1023318704 1279148380 1662892894 2046637408 2558296760 3325785788 4157232235 5116593520 6651571576 8314464470 10233187040 13303143152 16628928940 26606286304 33257857880 66515715760 133031431520