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2120314124232 = 233283421842767
BaseRepresentation
bin11110110110101100100…
…100011111011111001000
321111200220100002121220100
4132312230210133133020
5234214400403433412
64302020414125400
7306121234454403
oct36665444373710
97450810077810
102120314124232
11748247057107
122a2b20ab0860
13124c38853365
14748a3804d3a
153a24a831edc
hex1edac91f7c8

2120314124232 has 96 divisors (see below), whose sum is σ = 5825515812480. Its totient is φ = 696596664960.

The previous prime is 2120314124183. The next prime is 2120314124239. The reversal of 2120314124232 is 2324214130212.

2120314124232 is a `hidden beast` number, since 2 + 1 + 203 + 1 + 412 + 42 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2120314124196 and 2120314124205.

It is not an unprimeable number, because it can be changed into a prime (2120314124239) 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, 2094513 + ... + 2937279.

It is an arithmetic number, because the mean of its divisors is an integer number (60682456380).

Almost surely, 22120314124232 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 2120314124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912757906240).

2120314124232 is an abundant number, since it is smaller than the sum of its proper divisors (3705201688248).

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

2120314124232 is a wasteful number, since it uses less digits than its factorization.

2120314124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843283 (or 843276 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2120314124232 its reverse (2324214130212), we get a palindrome (4444528254444).

The spelling of 2120314124232 in words is "two trillion, one hundred twenty billion, three hundred fourteen million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 421 498 664 747 842 996 1263 1494 1684 1992 2526 2988 3368 3789 5052 5976 7578 10104 15156 30312 34943 69886 104829 139772 209658 279544 314487 419316 628974 838632 842767 1257948 1685534 2515896 2528301 3371068 5056602 6742136 7584903 10113204 15169806 20226408 30339612 60679224 69949661 139899322 209848983 279798644 354804907 419697966 559597288 629546949 709609814 839395932 1064414721 1259093898 1419219628 1678791864 2128829442 2518187796 2838439256 3193244163 4257658884 5036375592 6386488326 8515317768 12772976652 25545953304 29448807281 58897614562 88346421843 117795229124 176692843686 235590458248 265039265529 353385687372 530078531058 706771374744 1060157062116 2120314124232