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330231013400 = 235212773317737
BaseRepresentation
bin1001100111000110100…
…11010110000000011000
31011120101100220121221002
410303203103112000120
520402303114412100
6411412300404132
732600301204551
oct4634323260030
91146340817832
10330231013400
111180608860a2
1254001846648
13251aa019312
1411daa123328
1588cb71b2d5
hex4ce34d6018

330231013400 has 96 divisors (see below), whose sum is σ = 774932067840. Its totient is φ = 130866140160.

The previous prime is 330231013363. The next prime is 330231013403. The reversal of 330231013400 is 4310132033.

It is a super-2 number, since 2×3302310134002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330231013403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18609332 + ... + 18627068.

It is an arithmetic number, because the mean of its divisors is an integer number (8072209040).

Almost surely, 2330231013400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330231013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387466033920).

330231013400 is an abundant number, since it is smaller than the sum of its proper divisors (444701054440).

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

330231013400 is a wasteful number, since it uses less digits than its factorization.

330231013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613 (or 18604 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330231013400 its reverse (4310132033), we get a palindrome (334541145433).

The spelling of 330231013400 in words is "three hundred thirty billion, two hundred thirty-one million, thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 127 200 254 508 635 733 1016 1270 1466 2540 2932 3175 3665 5080 5864 6350 7330 12700 14660 17737 18325 25400 29320 35474 36650 70948 73300 88685 93091 141896 146600 177370 186182 354740 372364 443425 465455 709480 744728 886850 930910 1773700 1861820 2252599 2327275 3547400 3723640 4505198 4654550 9010396 9309100 11262995 13001221 18020792 18618200 22525990 26002442 45051980 52004884 56314975 65006105 90103960 104009768 112629950 130012210 225259900 260024420 325030525 450519800 520048840 650061050 1300122100 1651155067 2600244200 3302310134 6604620268 8255775335 13209240536 16511550670 33023101340 41278876675 66046202680 82557753350 165115506700 330231013400