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13303013332 = 22721722310211
BaseRepresentation
bin11000110001110101…
…11101111111010100
31021100002222002121111
430120322331333110
5204221032411312
610040013424404
7650442514300
oct143072757724
937302862544
1013303013332
1157072278a4
1226b319b104
1313400b622b
14902ac4d00
1552cd588a7
hex318ebdfd4

13303013332 has 108 divisors (see below), whose sum is σ = 30021564384. Its totient is φ = 5132117760.

The previous prime is 13303013293. The next prime is 13303013351. The reversal of 13303013332 is 23331030331.

It is a super-2 number, since 2×133030133322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297707 + ... + 1307917.

It is an arithmetic number, because the mean of its divisors is an integer number (277977448).

Almost surely, 213303013332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010782192).

13303013332 is an abundant number, since it is smaller than the sum of its proper divisors (16718551052).

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

13303013332 is a wasteful number, since it uses less digits than its factorization.

13303013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10286 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13303013332 its reverse (23331030331), we get a palindrome (36634043663).

The spelling of 13303013332 in words is "thirteen billion, three hundred three million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 119 161 196 238 289 322 391 476 578 644 782 833 1127 1156 1564 1666 2023 2254 2737 3332 4046 4508 5474 6647 8092 10211 10948 13294 14161 19159 20422 26588 28322 38318 40844 46529 56644 71477 76636 93058 142954 173587 186116 234853 285908 325703 347174 469706 500339 651406 694348 939412 1000678 1215109 1302812 1643971 2001356 2430218 2950979 3287942 3992501 4860436 5901958 6575884 7985002 8505763 11507797 11803916 15970004 17011526 20656853 23015594 27947507 34023052 41313706 46031188 55895014 67872517 82627412 111790028 135745034 144597971 195632549 271490068 289195942 391265098 475107619 578391884 782530196 950215238 1900430476 3325753333 6651506666 13303013332