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231201431020 = 225713150924767
BaseRepresentation
bin1101011101010010101…
…1011101110111101100
3211002202211021121101201
43113110223131313230
512242000031243040
6254113521015244
722463246511130
oct3272453356754
9732684247351
10231201431020
118a0631a912a
1238984a84524
1318a57589bb1
14b293d0d3c0
1560327bca9a
hex35d4adddec

231201431020 has 96 divisors (see below), whose sum is σ = 560240271360. Its totient is φ = 78506238720.

The previous prime is 231201430997. The next prime is 231201431023. The reversal of 231201431020 is 20134102132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231201431023) 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, 9322677 + ... + 9347443.

It is an arithmetic number, because the mean of its divisors is an integer number (5835836160).

Almost surely, 2231201431020 is an apocalyptic number.

231201431020 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 231201431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280120135680).

231201431020 is an abundant number, since it is smaller than the sum of its proper divisors (329038840340).

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

231201431020 is a wasteful number, since it uses less digits than its factorization.

231201431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25423 (or 25421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 231201431020 its reverse (20134102132), we get a palindrome (251335533152).

The spelling of 231201431020 in words is "two hundred thirty-one billion, two hundred one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 509 524 655 917 1018 1310 1834 2036 2545 2620 3563 3668 4585 5090 7126 9170 10180 14252 17815 18340 24767 35630 49534 66679 71260 99068 123835 133358 173369 247670 266716 333395 346738 466753 495340 666790 693476 866845 933506 1333580 1733690 1867012 2333765 3244477 3467380 4667530 6488954 9335060 12606403 12977908 16222385 22711339 25212806 32444770 45422678 50425612 63032015 64889540 88244821 90845356 113556695 126064030 176489642 227113390 252128060 352979284 441224105 454226780 882448210 1651438793 1764896420 3302877586 6605755172 8257193965 11560071551 16514387930 23120143102 33028775860 46240286204 57800357755 115600715510 231201431020