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13332333120 = 263527135119
BaseRepresentation
bin11000110101010101…
…10100001001000000
31021102011010200210120
430122222310021000
5204301034124440
610042542100240
7651246650601
oct143252641100
937364120716
1013332333120
115721833227
122700b7a680
1313461b0712
14906957da8
155306eadd0
hex31aab4240

13332333120 has 112 divisors (see below), whose sum is σ = 42354032640. Its totient is φ = 3553284096.

The previous prime is 13332333107. The next prime is 13332333121. The reversal of 13332333120 is 2133323331.

It is a super-2 number, since 2×133323331202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13332333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601921 + ... + 2607039.

Almost surely, 213332333120 is an apocalyptic number.

13332333120 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 13332333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177016320).

13332333120 is an abundant number, since it is smaller than the sum of its proper divisors (29021699520).

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

13332333120 is a wasteful number, since it uses less digits than its factorization.

13332333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13332333120 its reverse (2133323331), we get a palindrome (15465656451).

The spelling of 13332333120 in words is "thirteen billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2713 5119 5426 8139 10238 10852 13565 15357 16278 20476 21704 25595 27130 30714 32556 40695 40952 43408 51190 54260 61428 65112 76785 81390 81904 86816 102380 108520 122856 130224 153570 162780 163808 173632 204760 217040 245712 260448 307140 325560 327616 409520 434080 491424 520896 614280 651120 819040 868160 982848 1228560 1302240 1638080 2457120 2604480 4914240 13887847 27775694 41663541 55551388 69439235 83327082 111102776 138878470 166654164 208317705 222205552 277756940 333308328 416635410 444411104 555513880 666616656 833270820 888822208 1111027760 1333233312 1666541640 2222055520 2666466624 3333083280 4444111040 6666166560 13332333120