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11133221320 = 23513127263641
BaseRepresentation
bin10100101111001011…
…10111100111001000
31001201220010020112101
422113211313213020
5140300101040240
65040423323144
7542614551124
oct122745674710
931656106471
1011133221320
1147a345aa61
1221a85b04b4
131085700430
1477886c584
1545260739a
hex2979779c8

11133221320 has 128 divisors (see below), whose sum is σ = 27335024640. Its totient is φ = 4056514560.

The previous prime is 11133221317. The next prime is 11133221357. The reversal of 11133221320 is 2312233111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17368200 + ... + 17368840.

It is an arithmetic number, because the mean of its divisors is an integer number (213554880).

Almost surely, 211133221320 is an apocalyptic number.

11133221320 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 11133221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13667512320).

11133221320 is an abundant number, since it is smaller than the sum of its proper divisors (16201803320).

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

11133221320 is a wasteful number, since it uses less digits than its factorization.

11133221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11133221320 its reverse (2312233111), we get a palindrome (13445454431).

The spelling of 11133221320 in words is "eleven billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 127 130 254 260 263 508 520 526 635 641 1016 1052 1270 1282 1315 1651 2104 2540 2564 2630 3205 3302 3419 5080 5128 5260 6410 6604 6838 8255 8333 10520 12820 13208 13676 16510 16666 17095 25640 27352 33020 33332 33401 34190 41665 66040 66664 66802 68380 81407 83330 133604 136760 162814 166660 167005 168583 267208 325628 333320 334010 337166 407035 434213 651256 668020 674332 814070 842915 868426 1058291 1336040 1348664 1628140 1685830 1736852 2116582 2171065 2191579 3256280 3371660 3473704 4233164 4342130 4383158 5291455 6743320 8466328 8684260 8766316 10582910 10957895 17368520 17532632 21165820 21410041 21915790 42331640 42820082 43831580 85640164 87663160 107050205 171280328 214100410 278330533 428200820 556661066 856401640 1113322132 1391652665 2226644264 2783305330 5566610660 11133221320