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1320013332 = 22321123373917
BaseRepresentation
bin100111010101101…
…1100111000010100
310101222211121212200
41032223130320110
510200410411312
6334552244500
744465633241
oct11653347024
93358747780
101320013332
11618127610
1230a0a0730
131806244a1
14c74505c8
157ad450dc
hex4eadce14

1320013332 has 144 divisors (see below), whose sum is σ = 3901951872. Its totient is φ = 372176640.

The previous prime is 1320013319. The next prime is 1320013333. The reversal of 1320013332 is 2333100231.

1320013332 is a `hidden beast` number, since 1 + 320 + 0 + 13 + 332 = 666.

1320013332 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320013333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335038 + ... + 338954.

It is an arithmetic number, because the mean of its divisors is an integer number (27096888).

Almost surely, 21320013332 is an apocalyptic number.

1320013332 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 1320013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950975936).

1320013332 is an abundant number, since it is smaller than the sum of its proper divisors (2581938540).

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

1320013332 is a wasteful number, since it uses less digits than its factorization.

1320013332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1320013332 is about 36331.9877243181. The cubic root of 1320013332 is about 1096.9650035772.

Adding to 1320013332 its reverse (2333100231), we get a palindrome (3653113563).

The spelling of 1320013332 in words is "one billion, three hundred twenty million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 3917 4554 4884 5106 7326 7659 7834 9108 9361 10212 11751 14652 15318 15668 18722 23502 28083 30636 35253 37444 43087 47004 56166 70506 84249 86174 90091 112332 129261 141012 144929 168498 172348 180182 258522 270273 289858 336996 360364 387783 434787 517044 540546 579716 775566 810819 869574 991001 1081092 1304361 1551132 1594219 1621638 1739148 1982002 2608722 2973003 3188438 3243276 3333367 3964004 4782657 5217444 5946006 6376876 6666734 8919009 9565314 10000101 11892012 13333468 14347971 17838018 19130628 20000202 28695942 30000303 35676036 36667037 40000404 57391884 60000606 73334074 110001111 120001212 146668148 220002222 330003333 440004444 660006666 1320013332