Search a number
-
+
13111303032120 = 2335263443937789
BaseRepresentation
bin1011111011001011011010…
…0011110100110100111000
31201102102120020210101200110
42332302312203310310320
53204303422034011440
643515125514504320
72522155211641326
oct276626643646470
951372506711613
1013111303032120
1141a5521829157
121579084a350a0
13741510112437
1433483a2b8d16
1517b0c5d6d080
hexbecb68f4d38

13111303032120 has 128 divisors (see below), whose sum is σ = 39572637350400. Its totient is φ = 3475187249664.

The previous prime is 13111303032073. The next prime is 13111303032151. The reversal of 13111303032120 is 2123030311131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13512186 + ... + 14449974.

It is an arithmetic number, because the mean of its divisors is an integer number (309161229300).

Almost surely, 213111303032120 is an apocalyptic number.

13111303032120 is a gapful number since it is divisible by the number (10) 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 13111303032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786318675200).

13111303032120 is an abundant number, since it is smaller than the sum of its proper divisors (26461334318280).

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

13111303032120 is a wasteful number, since it uses less digits than its factorization.

13111303032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938509 (or 938505 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13111303032120 its reverse (2123030311131), we get a palindrome (15234333343251).

The spelling of 13111303032120 in words is "thirteen trillion, one hundred eleven billion, three hundred three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 443 526 789 886 1052 1315 1329 1578 1772 2104 2215 2630 2658 3156 3544 3945 4430 5260 5316 6312 6645 7890 8860 10520 10632 13290 15780 17720 26580 31560 53160 116509 233018 349527 466036 582545 699054 932072 937789 1165090 1398108 1747635 1875578 2330180 2796216 2813367 3495270 3751156 4660360 4688945 5626734 6990540 7502312 9377890 11253468 13981080 14066835 18755780 22506936 28133670 37511560 56267340 112534680 246638507 415440527 493277014 739915521 830881054 986554028 1233192535 1246321581 1479831042 1661762108 1973108056 2077202635 2466385070 2492643162 2959662084 3323524216 3699577605 4154405270 4932770140 4985286324 5919324168 6231607905 7399155210 8308810540 9865540280 9970572648 12463215810 14798310420 16617621080 24926431620 29596620840 49852863240 109260858601 218521717202 327782575803 437043434404 546304293005 655565151606 874086868808 1092608586010 1311130303212 1638912879015 2185217172020 2622260606424 3277825758030 4370434344040 6555651516060 13111303032120