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331002330321340 = 2251779112310973503
BaseRepresentation
bin100101101000010110111110…
…0010100011001000110111100
31121101222111212111222100202001
41023100231330110121012330
5321341120233030240330
63131552212112512044
7126502062212264146
oct11320557424310674
91541874774870661
10331002330321340
1196516333287377
123115a57684b624
1311290502840062
145ba485390bc96
1528401e475e9ca
hex12d0b7c5191bc

331002330321340 has 96 divisors (see below), whose sum is σ = 745973534638080. Its totient is φ = 122925696132096.

The previous prime is 331002330321337. The next prime is 331002330321347. The reversal of 331002330321340 is 43123033200133.

It is a junction number, because it is equal to n+sod(n) for n = 331002330321299 and 331002330321308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002330321347) 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, 24677029 + ... + 35650531.

It is an arithmetic number, because the mean of its divisors is an integer number (7770557652480).

Almost surely, 2331002330321340 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 331002330321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372986767319040).

331002330321340 is an abundant number, since it is smaller than the sum of its proper divisors (414971204316740).

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

331002330321340 is a wasteful number, since it uses less digits than its factorization.

331002330321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974731 (or 10974729 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 331002330321340 its reverse (43123033200133), we get a palindrome (374125363521473).

The spelling of 331002330321340 in words is "three hundred thirty-one trillion, two billion, three hundred thirty million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 79 85 158 170 316 340 395 790 1123 1343 1580 2246 2686 4492 5372 5615 6715 11230 13430 19091 22460 26860 38182 76364 88717 95455 177434 190910 354868 381820 443585 887170 1508189 1774340 3016378 6032756 7540945 10973503 15081890 21947006 30163780 43894012 54867515 109735030 186549551 219470060 373099102 746198204 866906737 932747755 1733813474 1865495510 3467626948 3730991020 4334533685 8669067370 12323243869 14737414529 17338134740 24646487738 29474829058 49292975476 58949658116 61616219345 73687072645 123232438690 147374145290 209495145773 246464877380 294748290580 418990291546 837980583092 973536265651 1047475728865 1947072531302 2094951457730 3894145062604 4189902915460 4867681328255 9735362656510 16550116516067 19470725313020 33100233032134 66200466064268 82750582580335 165501165160670 331002330321340