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13111031213220 = 22351921229492523
BaseRepresentation
bin1011111011001010011001…
…0110111010110010100100
31201102101212022022120020210
42332302212112322302210
53204302342442310340
643515042524455420
72522145401343363
oct276624626726244
951371768276223
1013111031213220
1141a53a2352636
1215790099aa570
13741498a00755
1433481215d7da
1517b0ac079180
hexbeca65baca4

13111031213220 has 144 divisors (see below), whose sum is σ = 38776335716160. Its totient is φ = 3309558711552.

The previous prime is 13111031213209. The next prime is 13111031213221. The reversal of 13111031213220 is 2231213011131.

It is not an unprimeable number, because it can be changed into a prime (13111031213221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26373879 + ... + 26866401.

It is an arithmetic number, because the mean of its divisors is an integer number (269280109140).

Almost surely, 213111031213220 is an apocalyptic number.

13111031213220 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 13111031213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388167858080).

13111031213220 is an abundant number, since it is smaller than the sum of its proper divisors (25665304502940).

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

13111031213220 is a wasteful number, since it uses less digits than its factorization.

13111031213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493802 (or 493781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13111031213220 its reverse (2231213011131), we get a palindrome (15342244224351).

The spelling of 13111031213220 in words is "thirteen trillion, one hundred eleven billion, thirty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1229 1444 1805 2166 2458 3610 3687 4332 4916 5415 6145 7220 7374 10830 12290 14748 18435 21660 23351 24580 36870 46702 70053 73740 93404 116755 140106 233510 280212 350265 443669 467020 492523 700530 887338 985046 1331007 1401060 1477569 1774676 1970092 2218345 2462615 2662014 2955138 4436690 4925230 5324028 5910276 6655035 7387845 8873380 9357937 9850460 13310070 14775690 18715874 26620140 28073811 29551380 37431748 46789685 56147622 93579370 112295244 140369055 177800803 187158740 280738110 355601606 533402409 561476220 605310767 711203212 889004015 1066804818 1210621534 1778008030 1815932301 2133609636 2421243068 2667012045 3026553835 3556016060 3631864602 5334024090 6053107670 7263729204 9079661505 10668048180 11500904573 12106215340 18159323010 23001809146 34502713719 36318646020 46003618292 57504522865 69005427438 115009045730 138010854876 172513568595 218517186887 230018091460 345027137190 437034373774 655551560661 690054274380 874068747548 1092585934435 1311103121322 2185171868870 2622206242644 3277757803305 4370343737740 6555515606610 13111031213220