Search a number
-
+
23111120011100 = 225211293121758921
BaseRepresentation
bin1010100000100111110100…
…00110010011111101011100
310000211101211200122012212112
411100103322012103331130
511012123033210323400
6121053034005053152
74603503045545642
oct520237206237534
9100741750565775
1023111120011100
117400409816830
12271310b3b71b8
13cb84a53799a4
1459c826da5192
152a128ebac835
hex1504fa193f5c

23111120011100 has 144 divisors (see below), whose sum is σ = 54943089729696. Its totient is φ = 8368336896000.

The previous prime is 23111120011097. The next prime is 23111120011123. The reversal of 23111120011100 is 111002111132.

It is a congruent number.

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, 392209640 + ... + 392268560.

It is an arithmetic number, because the mean of its divisors is an integer number (381549234234).

Almost surely, 223111120011100 is an apocalyptic number.

23111120011100 is a gapful number since it is divisible by the number (20) 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 23111120011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27471544864848).

23111120011100 is an abundant number, since it is smaller than the sum of its proper divisors (31831969718596).

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

23111120011100 is a wasteful number, since it uses less digits than its factorization.

23111120011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60456 (or 60449 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 23111120011100 its reverse (111002111132), we get a palindrome (23222122122232).

The spelling of 23111120011100 in words is "twenty-three trillion, one hundred eleven billion, one hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 293 550 586 1100 1172 1217 1465 2434 2930 3223 4868 5860 6085 6446 7325 12170 12892 13387 14650 16115 24340 26774 29300 30425 32230 53548 58921 60850 64460 66935 80575 117842 121700 133870 161150 235684 267740 294605 322300 334675 356581 589210 648131 669350 713162 1178420 1296262 1338700 1426324 1473025 1782905 2592524 2946050 3240655 3565810 3922391 5892100 6481310 7131620 7844782 8914525 12962620 15689564 16203275 17263853 17829050 19611955 32406550 34527706 35658100 39223910 64813100 69055412 71706857 78447820 86319265 98059775 143413714 172638530 189902383 196119550 286827428 345277060 358534285 379804766 392239100 431596325 717068570 759609532 788775427 863192650 949511915 1434137140 1577550854 1726385300 1792671425 1899023830 3155101708 3585342850 3798047660 3943877135 4747559575 7170685700 7887754270 9495119150 15775508540 18990238300 19719385675 21010109101 39438771350 42020218202 78877542700 84040436404 105050545505 210101091010 231111200111 420202182020 462222400222 525252727525 924444800444 1050505455050 1155556000555 2101010910100 2311112001110 4622224002220 5777780002775 11555560005550 23111120011100