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13300033032 = 23331113430589
BaseRepresentation
bin11000110001011111…
…00110011000001000
31021022220100200102000
430120233212120020
5204214302024112
610035425511000
7650405262336
oct143057463010
937286320360
1013300033032
115705581740
1226b21a2460
13133c5b1840
1490254ab56
1552c96a7dc
hex318be6608

13300033032 has 128 divisors (see below), whose sum is σ = 43403472000. Its totient is φ = 3720280320.

The previous prime is 13300033027. The next prime is 13300033037. The reversal of 13300033032 is 23033000331.

13300033032 is a `hidden beast` number, since 1 + 3 + 300 + 0 + 330 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (13300033027) and next prime (13300033037).

It is a super-2 number, since 2×133000330322 (a number of 21 digits) contains 22 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 = 13300032996 and 13300033014.

It is not an unprimeable number, because it can be changed into a prime (13300033037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184407 + ... + 246182.

It is an arithmetic number, because the mean of its divisors is an integer number (339089625).

Almost surely, 213300033032 is an apocalyptic number.

13300033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300033032 is an abundant number, since it is smaller than the sum of its proper divisors (30103438968).

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

13300033032 is a wasteful number, since it uses less digits than its factorization.

13300033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430628 (or 430618 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13300033032 its reverse (23033000331), we get a palindrome (36333033363).

The spelling of 13300033032 in words is "thirteen billion, three hundred million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2574 2808 3432 3861 5148 7722 10296 15444 30888 430589 861178 1291767 1722356 2583534 3444712 3875301 4736479 5167068 5597657 7750602 9472958 10334136 11195314 11625903 14209437 15501204 16792971 18945916 22390628 23251806 28418874 31002408 33585942 37891832 42628311 44781256 46503612 50378913 56837748 61574227 67171884 85256622 93007224 100757826 113675496 123148454 127884933 134343768 151136739 170513244 184722681 201515652 246296908 255769866 302273478 341026488 369445362 403031304 492593816 511539732 554168043 604546956 738890724 1023079464 1108336086 1209093912 1477781448 1662504129 2216672172 3325008258 4433344344 6650016516 13300033032