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11103021013320 = 2332575740742041
BaseRepresentation
bin1010000110010001111110…
…0111111001100101001000
31110022102211121212101202100
42201210133213321211020
52423402441334411240
635340354001233400
72224111132303665
oct241443747714510
943272747771670
1011103021013320
1135a08459a8035
1212b3a0b332860
13627019a94732
142a556390ca6c
15143c35c38e30
hexa191f9f9948

11103021013320 has 96 divisors (see below), whose sum is σ = 36132487368120. Its totient is φ = 2956894295040.

The previous prime is 11103021013319. The next prime is 11103021013349. The reversal of 11103021013320 is 2331012030111.

11103021013320 is a `hidden beast` number, since 11 + 10 + 302 + 10 + 1 + 332 + 0 = 666.

11103021013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9134381914596 + 1968639098724 = 3022314^2 + 1403082^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11103021013293 and 11103021013302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20098501 + ... + 20643540.

Almost surely, 211103021013320 is an apocalyptic number.

11103021013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11103021013320 is an abundant number, since it is smaller than the sum of its proper divisors (25029466354800).

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

11103021013320 is a wasteful number, since it uses less digits than its factorization.

11103021013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40742815 (or 40742808 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103021013320 its reverse (2331012030111), we get a palindrome (13434033043431).

The spelling of 11103021013320 in words is "eleven trillion, one hundred three billion, twenty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 757 1514 2271 3028 3785 4542 6056 6813 7570 9084 11355 13626 15140 18168 22710 27252 30280 34065 45420 54504 68130 90840 136260 272520 40742041 81484082 122226123 162968164 203710205 244452246 325936328 366678369 407420410 488904492 611130615 733356738 814840820 977808984 1222261230 1466713476 1629681640 1833391845 2444522460 2933426952 3666783690 4889044920 7333567380 14667134760 30841725037 61683450074 92525175111 123366900148 154208625185 185050350222 246733800296 277575525333 308417250370 370100700444 462625875555 555151050666 616834500740 740201400888 925251751110 1110302101332 1233669001480 1387877626665 1850503502220 2220604202664 2775755253330 3701007004440 5551510506660 11103021013320