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2313323013100 = 2252111727276889
BaseRepresentation
bin100001101010011100110…
…010111110001111101100
322012011002110101001211211
4201222130302332033230
5300400141142404400
64530420444324204
7326063205113251
oct41523462761754
98164073331754
102313323013100
11812090595010
12314407243664
1313a1b765c488
147dd73201428
1540295145dba
hex21a9ccbe3ec

2313323013100 has 108 divisors (see below), whose sum is σ = 5817349618920. Its totient is φ = 791725414400.

The previous prime is 2313323013077. The next prime is 2313323013103. The reversal of 2313323013100 is 13103233132.

It is a super-2 number, since 2×23133230131002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2313323013103) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3320545 + ... + 3956344.

Almost surely, 22313323013100 is an apocalyptic number.

2313323013100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313323013100 is an abundant number, since it is smaller than the sum of its proper divisors (3504026605820).

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

2313323013100 is a wasteful number, since it uses less digits than its factorization.

2313323013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276948 (or 7276924 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2313323013100 its reverse (13103233132), we get a palindrome (2326426246232).

The spelling of 2313323013100 in words is "two trillion, three hundred thirteen billion, three hundred twenty-three million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 289 340 374 425 550 578 748 850 935 1100 1156 1445 1700 1870 2890 3179 3740 4675 5780 6358 7225 9350 12716 14450 15895 18700 28900 31790 63580 79475 158950 317900 7276889 14553778 29107556 36384445 72768890 80045779 123707113 145537780 160091558 181922225 247414226 320183116 363844450 400228895 494828452 618535565 727688900 800457790 1237071130 1360778243 1600915580 2001144475 2103020921 2474142260 2721556486 3092677825 4002288950 4206041842 5443112972 6185355650 6803891215 8004577900 8412083684 10515104605 12370711300 13607782430 21030209210 23133230131 27215564860 34019456075 42060418420 46266460262 52575523025 68038912150 92532920524 105151046050 115666150655 136077824300 210302092100 231332301310 462664602620 578330753275 1156661506550 2313323013100