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13322211120 = 2432537500083
BaseRepresentation
bin11000110100001000…
…01100111100110000
31021101110002110000200
430122010030330300
5204240441223440
610041541115200
7651064632441
oct143204147460
937343073020
1013322211120
11571704a439
1226b96b8b00
13134407847a
149054812c8
1552e89bc30
hex31a10cf30

13322211120 has 120 divisors (see below), whose sum is σ = 45949718256. Its totient is φ = 3456566784.

The previous prime is 13322211107. The next prime is 13322211163. The reversal of 13322211120 is 2111222331.

13322211120 is a `hidden beast` number, since 1 + 332 + 2 + 211 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×133222111203 (a number of 31 digits) contains 333 as substring.

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 = 13322211093 and 13322211102.

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, 223402 + ... + 276681.

Almost surely, 213322211120 is an apocalyptic number.

13322211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322211120 is an abundant number, since it is smaller than the sum of its proper divisors (32627507136).

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

13322211120 is a wasteful number, since it uses less digits than its factorization.

13322211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500139 (or 500130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13322211120 its reverse (2111222331), we get a palindrome (15433433451).

It can be divided in two parts, 13322211 and 120, that added together give a palindrome (13322331).

The spelling of 13322211120 in words is "thirteen billion, three hundred twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 500083 1000166 1500249 2000332 2500415 3000498 4000664 4500747 5000830 6000996 7501245 8001328 9001494 10001660 12001992 15002490 18002988 18503071 20003320 22503735 24003984 30004980 36005976 37006142 40006640 45007470 55509213 60009960 72011952 74012284 90014940 92515355 111018426 120019920 148024568 166527639 180029880 185030710 222036852 277546065 296049136 333055278 360059760 370061420 444073704 555092130 666110556 740122840 832638195 888147408 1110184260 1332221112 1480245680 1665276390 2220368520 2664442224 3330552780 4440737040 6661105560 13322211120