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231331131330 = 2351310748711383
BaseRepresentation
bin1101011101110001101…
…0001110111111000010
3211010002212100001202220
43113130122032333002
512242231232200310
6254134432551510
722466413113135
oct3273432167702
9733085301686
10231331131330
118a11a435972
1238a003b2596
1318a783cc140
14b2a723221c
15603dd8c670
hex35dc68efc2

231331131330 has 128 divisors (see below), whose sum is σ = 604782194688. Its totient is φ = 56290090752.

The previous prime is 231331131287. The next prime is 231331131337. The reversal of 231331131330 is 33131133132.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 231331131330.

It is not an unprimeable number, because it can be changed into a prime (231331131337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20316819 + ... + 20328201.

It is an arithmetic number, because the mean of its divisors is an integer number (4724860896).

Almost surely, 2231331131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231331131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302391097344).

231331131330 is an abundant number, since it is smaller than the sum of its proper divisors (373451063358).

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

231331131330 is a wasteful number, since it uses less digits than its factorization.

231331131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 231331131330 its reverse (33131133132), we get a palindrome (264462264462).

The spelling of 231331131330 in words is "two hundred thirty-one billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 487 535 642 974 1070 1391 1461 1605 2435 2782 2922 3210 4173 4870 6331 6955 7305 8346 11383 12662 13910 14610 18993 20865 22766 31655 34149 37986 41730 52109 56915 63310 68298 94965 104218 113830 147979 156327 170745 189930 260545 295958 312654 341490 443937 521090 677417 739895 781635 887874 1217981 1354834 1479790 1563270 2032251 2219685 2435962 3387085 3653943 4064502 4439370 5543521 6089905 6774170 7307886 10161255 11087042 12179810 15833753 16630563 18269715 20322510 27717605 31667506 33261126 36539430 47501259 55435210 72065773 79168765 83152815 95002518 144131546 158337530 166305630 216197319 237506295 360328865 432394638 475012590 593156747 720657730 1080986595 1186313494 1779470241 2161973190 2965783735 3558940482 5931567470 7711037711 8897351205 15422075422 17794702410 23133113133 38555188555 46266226266 77110377110 115665565665 231331131330