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261131024702000 = 2453318095206169
BaseRepresentation
bin111011010111111101001101…
…111101111001101000110000
31021020120212211002112111112102
4323113331031331321220300
5233211332314310431000
62323213534152315532
7106001044136642105
oct7327751575715060
91236525732474472
10261131024702000
1176228055855232
1225354b379a2ba8
13b29271c38626b
14486ab47daaaac
15202c93d17c3d5
hexed7f4df79a30

261131024702000 has 160 divisors (see below), whose sum is σ = 652588828070400. Its totient is φ = 100958009856000.

The previous prime is 261131024701999. The next prime is 261131024702003. The reversal of 261131024702000 is 207420131162.

It is not an unprimeable number, because it can be changed into a prime (261131024702003) 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, 47554916 + ... + 52761084.

It is an arithmetic number, because the mean of its divisors is an integer number (4078680175440).

Almost surely, 2261131024702000 is an apocalyptic number.

261131024702000 is a gapful number since it is divisible by the number (20) 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 261131024702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326294414035200).

261131024702000 is an abundant number, since it is smaller than the sum of its proper divisors (391457803368400).

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

261131024702000 is a wasteful number, since it uses less digits than its factorization.

261131024702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207032 (or 5207016 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 261131024702000 its reverse (207420131162), we get a palindrome (261338444833162).

The spelling of 261131024702000 in words is "two hundred sixty-one trillion, one hundred thirty-one billion, twenty-four million, seven hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 809 1000 1240 1550 1618 2000 2480 3100 3236 3875 4045 6200 6472 7750 8090 12400 12944 15500 16180 20225 25079 31000 32360 40450 50158 62000 64720 80900 100316 101125 125395 161800 200632 202250 250790 323600 401264 404500 501580 626975 809000 1003160 1253950 1618000 2006320 2507900 3134875 5015800 5206169 6269750 10031600 10412338 12539500 20824676 25079000 26030845 41649352 50158000 52061690 83298704 104123380 130154225 161391239 208246760 260308450 322782478 416493520 520616900 645564956 650771125 806956195 1041233800 1291129912 1301542250 1613912390 2082467600 2582259824 2603084500 3227824780 4034780975 4211790721 5206169000 6455649560 8069561950 8423581442 10412338000 12911299120 16139123900 16847162884 20173904875 21058953605 32278247800 33694325768 40347809750 42117907210 64556495600 67388651536 80695619500 84235814420 105294768025 130565512351 161391239000 168471628840 210589536050 261131024702 322782478000 336943257680 421179072100 522262049404 526473840125 652827561755 842358144200 1044524098808 1052947680250 1305655123510 1684716288400 2089048197616 2105895360500 2611310247020 3264137808775 4211790721000 5222620494040 6528275617550 8423581442000 10445240988080 13056551235100 16320689043875 26113102470200 32641378087750 52226204940400 65282756175500 130565512351000 261131024702000