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2002331312120 = 235831597377653
BaseRepresentation
bin11101001000110100001…
…111110001111111111000
321002102100220121202222102
4131020310033301333320
5230301233303441440
64131505221042532
7264443431221266
oct35106417617770
97072326552872
102002331312120
11702202909117
12284094856448
13116a855507b9
146ccb034d436
15371429d6b15
hex1d2343f1ff8

2002331312120 has 64 divisors (see below), whose sum is σ = 4562392655520. Its totient is φ = 790785160704.

The previous prime is 2002331312087. The next prime is 2002331312213. The reversal of 2002331312120 is 212131332002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2002331312092 and 2002331312101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5113214 + ... + 5490866.

Almost surely, 22002331312120 is an apocalyptic number.

2002331312120 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 2002331312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281196327760).

2002331312120 is an abundant number, since it is smaller than the sum of its proper divisors (2560061343400).

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

2002331312120 is a wasteful number, since it uses less digits than its factorization.

2002331312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379344 (or 379340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2002331312120 its reverse (212131332002), we get a palindrome (2214462644122).

The spelling of 2002331312120 in words is "two trillion, two billion, three hundred thirty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 830 1597 1660 3194 3320 6388 7985 12776 15970 31940 63880 132551 265102 377653 530204 662755 755306 1060408 1325510 1510612 1888265 2651020 3021224 3776530 5302040 7553060 15106120 31345199 62690398 125380796 156725995 250761592 313451990 603111841 626903980 1206223682 1253807960 2412447364 3015559205 4824894728 6031118410 12062236820 24124473640 50058282803 100116565606 200233131212 250291414015 400466262424 500582828030 1001165656060 2002331312120