Search a number
-
+
13032211011000 = 2335310614094317
BaseRepresentation
bin1011110110100100110001…
…0011101101010110111000
31201010212102012012102112220
42331221030103231112320
53202004432004323000
643414525354204040
72513355223566426
oct275511423552670
951125365172486
1013032211011000
114174a25404045
121565891123620
13736c1713893c
14330a95d76116
15178ee74551a0
hexbda4c4ed5b8

13032211011000 has 128 divisors (see below), whose sum is σ = 40698831101760. Its totient is φ = 3471979968000.

The previous prime is 13032211010981. The next prime is 13032211011007. The reversal of 13032211011000 is 11011223031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032211011007) 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, 1135842 + ... + 5230158.

Almost surely, 213032211011000 is an apocalyptic number.

13032211011000 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 13032211011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20349415550880).

13032211011000 is an abundant number, since it is smaller than the sum of its proper divisors (27666620090760).

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

13032211011000 is a wasteful number, since it uses less digits than its factorization.

13032211011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095402 (or 4095388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13032211011000 its reverse (11011223031), we get a palindrome (13043222234031).

The spelling of 13032211011000 in words is "thirteen trillion, thirty-two billion, two hundred eleven million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1061 1500 2122 3000 3183 4244 5305 6366 8488 10610 12732 15915 21220 25464 26525 31830 42440 53050 63660 79575 106100 127320 132625 159150 212200 265250 318300 397875 530500 636600 795750 1061000 1591500 3183000 4094317 8188634 12282951 16377268 20471585 24565902 32754536 40943170 49131804 61414755 81886340 98263608 102357925 122829510 163772680 204715850 245659020 307073775 409431700 491318040 511789625 614147550 818863400 1023579250 1228295100 1535368875 2047158500 2456590200 3070737750 4094317000 4344070337 6141475500 8688140674 12282951000 13032211011 17376281348 21720351685 26064422022 34752562696 43440703370 52128844044 65161055055 86881406740 104257688088 108601758425 130322110110 173762813480 217203516850 260644220220 325805275275 434407033700 521288440440 543008792125 651610550550 868814067400 1086017584250 1303221101100 1629026376375 2172035168500 2606442202200 3258052752750 4344070337000 6516105505500 13032211011000