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2313112420332 = 22327251148724593
BaseRepresentation
bin100001101010010000001…
…111100111111111101100
322012010112210002211212200
4201222100033213333230
5300344223234422312
64530343522501500
7326055040110210
oct41522017477754
98163483084780
102313112420332
11811a927275aa
12314368804890
1313a182b3687c
147dd53262940
15402818e80dc
hex21a903e7fec

2313112420332 has 144 divisors (see below), whose sum is σ = 6713732293632. Its totient is φ = 657786816000.

The previous prime is 2313112420321. The next prime is 2313112420349. The reversal of 2313112420332 is 2330242113132.

2313112420332 is a `hidden beast` number, since 2 + 313 + 1 + 12 + 4 + 2 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2313112420296 and 2313112420305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94043428 + ... + 94068020.

It is an arithmetic number, because the mean of its divisors is an integer number (46623140928).

Almost surely, 22313112420332 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 2313112420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356866146816).

2313112420332 is an abundant number, since it is smaller than the sum of its proper divisors (4400619873300).

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

2313112420332 is a wasteful number, since it uses less digits than its factorization.

2313112420332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26348 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2313112420332 its reverse (2330242113132), we get a palindrome (4643354533464).

The spelling of 2313112420332 in words is "two trillion, three hundred thirteen billion, one hundred twelve million, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 1004 1487 1506 1757 2259 2974 3012 3514 4461 4518 5271 5948 7028 8922 9036 10409 10542 13383 15813 17844 20818 21084 24593 26766 31227 31626 41636 49186 53532 62454 63252 73779 93681 98372 124908 147558 172151 187362 221337 295116 344302 373237 374724 442674 516453 688604 746474 885348 1032906 1119711 1492948 1549359 2065812 2239422 2612659 3098718 3359133 4478844 5225318 6172843 6197436 6718266 7837977 10450636 12345686 13436532 15675954 18518529 23513931 24691372 31351908 36569791 37037058 43209901 47027862 55555587 73139582 74074116 86419802 94055724 109709373 111111174 129629703 146279164 172839604 219418746 222222348 255988537 259259406 329128119 388889109 438837492 511977074 518518812 658256238 767965611 777778218 1023954148 1316512476 1535931222 1555556436 2303896833 3071862444 4607793666 9179017541 9215587332 18358035082 27537052623 36716070164 55074105246 64253122787 82611157869 110148210492 128506245574 165222315738 192759368361 257012491148 330444631476 385518736722 578278105083 771037473444 1156556210166 2313112420332