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13331333120 = 218571453
BaseRepresentation
bin11000110101001110…
…00000000000000000
31021102002020220001112
430122213000000000
5204300310124440
610042504422452
7651235314260
oct143247000000
937362226045
1013331333120
11572120a986
122700777a28
131345c204c1
149067777a0
1553059e965
hex31a9c0000

13331333120 has 152 divisors (see below), whose sum is σ = 36591038304. Its totient is φ = 4567597056.

The previous prime is 13331333027. The next prime is 13331333123. The reversal of 13331333120 is 2133313331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331333123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9174314 + ... + 9175766.

Almost surely, 213331333120 is an apocalyptic number.

13331333120 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 13331333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295519152).

13331333120 is an abundant number, since it is smaller than the sum of its proper divisors (23259705184).

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

13331333120 is an frugal number, since it uses more digits than its factorization.

13331333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13331333120 its reverse (2133313331), we get a palindrome (15464646451).

It can be divided in two parts, 13 and 331333120, that added together give a palindrome (331333133).

The spelling of 13331333120 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1453 1792 2048 2240 2560 2906 3584 4096 4480 5120 5812 7168 7265 8192 8960 10171 10240 11624 14336 14530 16384 17920 20342 20480 23248 28672 29060 32768 35840 40684 40960 46496 50855 57344 58120 65536 71680 81368 81920 92992 101710 114688 116240 131072 143360 162736 163840 185984 203420 229376 232480 262144 286720 325472 327680 371968 406840 458752 464960 573440 650944 655360 743936 813680 917504 929920 1146880 1301888 1310720 1487872 1627360 1835008 1859840 2293760 2603776 2975744 3254720 3719680 4587520 5207552 5951488 6509440 7439360 9175040 10415104 11902976 13018880 14878720 20830208 23805952 26037760 29757440 41660416 47611904 52075520 59514880 83320832 95223808 104151040 119029760 166641664 190447616 208302080 238059520 333283328 380895232 416604160 476119040 666566656 833208320 952238080 1333133312 1666416640 1904476160 2666266624 3332833280 6665666560 13331333120