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13332031152 = 24311791372333
BaseRepresentation
bin11000110101010011…
…01010011010110000
31021102010120100120120
430122221222122300
5204300444444102
610042531410240
7651244252326
oct143251523260
937363510516
1013332031152
115721647370
122700a53980
13134610613b
149068b9d16
1553068b6bc
hex31aa6a6b0

13332031152 has 160 divisors (see below), whose sum is σ = 38341831680. Its totient is φ = 3958056960.

The previous prime is 13332031103. The next prime is 13332031171. The reversal of 13332031152 is 25113023331.

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

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, 5713378 + ... + 5715710.

It is an arithmetic number, because the mean of its divisors is an integer number (239636448).

Almost surely, 213332031152 is an apocalyptic number.

13332031152 is a gapful number since it is divisible by the number (12) 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 13332031152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170915840).

13332031152 is an abundant number, since it is smaller than the sum of its proper divisors (25009800528).

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

13332031152 is a wasteful number, since it uses less digits than its factorization.

13332031152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13332031152 its reverse (25113023331), we get a palindrome (38445054483).

The spelling of 13332031152 in words is "thirteen billion, three hundred thirty-two million, thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 137 158 176 237 264 274 316 411 474 528 548 632 822 869 948 1096 1264 1507 1644 1738 1896 2192 2333 2607 3014 3288 3476 3792 4521 4666 5214 6028 6576 6952 6999 9042 9332 10428 10823 12056 13904 13998 18084 18664 20856 21646 24112 25663 27996 32469 36168 37328 41712 43292 51326 55992 64938 72336 76989 86584 102652 111984 119053 129876 153978 173168 184307 205304 238106 259752 307956 319621 357159 368614 410608 476212 519504 552921 615912 639242 714318 737228 952424 958863 1105842 1231824 1278484 1428636 1474456 1904848 1917726 2027377 2211684 2556968 2857272 2948912 3515831 3835452 4054754 4423368 5113936 5714544 6082131 7031662 7670904 8109508 8846736 10547493 12164262 14063324 15341808 16219016 21094986 24328524 25250059 28126648 32438032 42189972 48657048 50500118 56253296 75750177 84379944 97314096 101000236 151500354 168759888 202000472 277750649 303000708 404000944 555501298 606001416 833251947 1111002596 1212002832 1666503894 2222005192 3333007788 4444010384 6666015576 13332031152