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11041300442232 = 2333292254378191
BaseRepresentation
bin1010000010101100000011…
…0010100110110001111000
31110002112112012201112012000
42200223000302212301320
52421400040403122412
635252145311221000
72216464501146024
oct240530062466170
943075465645160
1011041300442232
1135776532874a5
1212a3a65217760
13621261a37958
142a258a73b384
1514232241c4dc
hexa0ac0ca6c78

11041300442232 has 128 divisors (see below), whose sum is σ = 31729688064000. Its totient is φ = 3553318903680.

The previous prime is 11041300442177. The next prime is 11041300442269. The reversal of 11041300442232 is 23224400314011.

11041300442232 is a `hidden beast` number, since 1 + 10 + 413 + 0 + 0 + 4 + 4 + 2 + 232 = 666.

It is a super-3 number, since 3×110413004422323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11041300442196 and 11041300442205.

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, 141170257 + ... + 141248447.

It is an arithmetic number, because the mean of its divisors is an integer number (247888188000).

Almost surely, 211041300442232 is an apocalyptic number.

11041300442232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11041300442232 is an abundant number, since it is smaller than the sum of its proper divisors (20688387621768).

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

11041300442232 is a wasteful number, since it uses less digits than its factorization.

11041300442232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100778 (or 100768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11041300442232 its reverse (23224400314011), we get a palindrome (34265700756243).

The spelling of 11041300442232 in words is "eleven trillion, forty-one billion, three hundred million, four hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 22543 45086 67629 78191 90172 135258 156382 180344 202887 234573 270516 312764 405774 469146 541032 608661 625528 653747 703719 811548 938292 1217322 1307494 1407438 1623096 1876584 1961241 2111157 2267539 2434644 2614988 2814876 3922482 4222314 4535078 4869288 5229976 5629752 5883723 6802617 7844964 8444628 9070156 11767446 13605234 15689928 16889256 17651169 18140312 20407851 23534892 27210468 35302338 40815702 47069784 54420936 61223553 70604676 81631404 122447106 141209352 163262808 244894212 489788424 1762659713 3525319426 5287979139 7050638852 10575958278 14101277704 15863937417 21151916556 31727874834 42303833112 47591812251 51117131677 63455749668 95183624502 102234263354 126911499336 153351395031 190367249004 204468526708 306702790062 380734498008 408937053416 460054185093 613405580124 920108370186 1226811160248 1380162555279 1840216740372 2760325110558 3680433480744 5520650221116 11041300442232