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141311300 = 225213711531
BaseRepresentation
bin10000110110000…
…11110101000100
3100211220100122212
420123003311010
5242133430200
622004442552
73334061204
oct1033036504
9324810585
10141311300
11728482a9
123b3a9458
1323379170
1414aa6404
15c615035
hex86c3d44

141311300 has 72 divisors (see below), whose sum is σ = 335103552. Its totient is φ = 51408000.

The previous prime is 141311279. The next prime is 141311323. The reversal of 141311300 is 3113141.

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, 91535 + ... + 93065.

It is an arithmetic number, because the mean of its divisors is an integer number (4654216).

Almost surely, 2141311300 is an apocalyptic number.

141311300 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 141311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167551776).

141311300 is an abundant number, since it is smaller than the sum of its proper divisors (193792252).

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

141311300 is a wasteful number, since it uses less digits than its factorization.

141311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 141311300 is about 11887.4429546476. The cubic root of 141311300 is about 520.8655456699.

Adding to 141311300 its reverse (3113141), we get a palindrome (144424441).

The spelling of 141311300 in words is "one hundred forty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 71 100 130 142 260 284 325 355 650 710 923 1300 1420 1531 1775 1846 3062 3550 3692 4615 6124 7100 7655 9230 15310 18460 19903 23075 30620 38275 39806 46150 76550 79612 92300 99515 108701 153100 199030 217402 398060 434804 497575 543505 995150 1087010 1413113 1990300 2174020 2717525 2826226 5435050 5652452 7065565 10870100 14131130 28262260 35327825 70655650 141311300