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2313210042 = 2331113463647
BaseRepresentation
bin1000100111100000…
…1100100010111010
312222012201020122000
42021320030202322
514214140210132
61021312041430
7111215650413
oct21170144272
95865636560
102313210042
11a87823a40
12546833276
132ab31bb50
1417d30a80a
15d813087c
hex89e0c8ba

2313210042 has 128 divisors (see below), whose sum is σ = 6061547520. Its totient is φ = 644656320.

The previous prime is 2313210023. The next prime is 2313210071. The reversal of 2313210042 is 2400123132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313209997 and 2313210024.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3574963 + ... + 3575609.

It is an arithmetic number, because the mean of its divisors is an integer number (47355840).

Almost surely, 22313210042 is an apocalyptic number.

2313210042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313210042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030773760).

2313210042 is an abundant number, since it is smaller than the sum of its proper divisors (3748337478).

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

2313210042 is a wasteful number, since it uses less digits than its factorization.

2313210042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313210042 is about 48095.8422527353. The cubic root of 2313210042 is about 1322.5284491386.

Adding to 2313210042 its reverse (2400123132), we get a palindrome (4713333174).

The spelling of 2313210042 in words is "two billion, three hundred thirteen million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 463 594 647 702 858 926 1287 1294 1389 1941 2574 2778 3861 3882 4167 5093 5823 6019 7117 7722 8334 8411 10186 11646 12038 12501 14234 15279 16822 17469 18057 21351 25002 25233 30558 34938 36114 42702 45837 50466 54171 64053 66209 75699 91674 92521 108342 128106 132418 137511 151398 162513 185042 192159 198627 227097 275022 277563 299561 325026 384318 397254 454194 555126 595881 599122 832689 898683 1191762 1665378 1787643 1797366 2498067 2696049 3295171 3575286 3894293 4996134 5392098 6590342 7788586 8088147 9885513 11682879 16176294 19771026 23365758 29656539 35048637 42837223 59313078 70097274 85674446 88969617 105145911 128511669 177939234 210291822 257023338 385535007 771070014 1156605021 2313210042