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13132311000 = 2335326916273
BaseRepresentation
bin11000011101011111…
…10010100111011000
31020220012202112000220
430032233302213120
5203343332423000
610011035000040
7643300541664
oct141657624730
936805675026
1013132311000
115629935696
122665b99020
131313919333
148c816b8a4
1551cd8a1a0
hex30ebf29d8

13132311000 has 128 divisors (see below), whose sum is σ = 41127652800. Its totient is φ = 3488716800.

The previous prime is 13132310833. The next prime is 13132311061. The reversal of 13132311000 is 11323131.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 798864 + ... + 815136.

Almost surely, 213132311000 is an apocalyptic number.

13132311000 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 13132311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563826400).

13132311000 is an abundant number, since it is smaller than the sum of its proper divisors (27995341800).

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

13132311000 is a wasteful number, since it uses less digits than its factorization.

13132311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16566 (or 16552 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13132311000 its reverse (11323131), we get a palindrome (13143634131).

The spelling of 13132311000 in words is "thirteen billion, one hundred thirty-two million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 269 300 375 500 538 600 750 807 1000 1076 1345 1500 1614 2152 2690 3000 3228 4035 5380 6456 6725 8070 10760 13450 16140 16273 20175 26900 32280 32546 33625 40350 48819 53800 65092 67250 80700 81365 97638 100875 130184 134500 161400 162730 195276 201750 244095 269000 325460 390552 403500 406825 488190 650920 807000 813650 976380 1220475 1627300 1952760 2034125 2440950 3254600 4068250 4377437 4881900 6102375 8136500 8754874 9763800 12204750 13132311 16273000 17509748 21887185 24409500 26264622 35019496 43774370 48819000 52529244 65661555 87548740 105058488 109435925 131323110 175097480 218871850 262646220 328307775 437743700 525292440 547179625 656615550 875487400 1094359250 1313231100 1641538875 2188718500 2626462200 3283077750 4377437000 6566155500 13132311000