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131121323000 = 2353172453707
BaseRepresentation
bin111101000011101110…
…0001001101111111000
3110112110001220100121022
41322013130021233320
54122014024314000
6140123013002012
712321210566423
oct1720734115770
9415401810538
10131121323000
1150676628758
12214b4323308
13c4982acb75
1464bc3989ba
15362650c585
hex1e87709bf8

131121323000 has 96 divisors (see below), whose sum is σ = 325934753040. Its totient is φ = 49363212800.

The previous prime is 131121322993. The next prime is 131121323033. The reversal of 131121323000 is 323121131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 131121323000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62147 + ... + 515853.

Almost surely, 2131121323000 is an apocalyptic number.

131121323000 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 131121323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162967376520).

131121323000 is an abundant number, since it is smaller than the sum of its proper divisors (194813430040).

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

131121323000 is a wasteful number, since it uses less digits than its factorization.

131121323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453762 (or 453731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131121323000 its reverse (323121131), we get a palindrome (131444444131).

The spelling of 131121323000 in words is "one hundred thirty-one billion, one hundred twenty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 289 340 425 500 578 680 850 1000 1156 1445 1700 2125 2312 2890 3400 4250 5780 7225 8500 11560 14450 17000 28900 36125 57800 72250 144500 289000 453707 907414 1814828 2268535 3629656 4537070 7713019 9074140 11342675 15426038 18148280 22685350 30852076 38565095 45370700 56713375 61704152 77130190 90741400 113426750 131121323 154260380 192825475 226853500 262242646 308520760 385650950 453707000 524485292 655606615 771301900 964127375 1048970584 1311213230 1542603800 1928254750 2622426460 3278033075 3856509500 5244852920 6556066150 7713019000 13112132300 16390165375 26224264600 32780330750 65560661500 131121323000