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2013320012 = 2211294759569
BaseRepresentation
bin111100000000000…
…1101001101001100
312012022102020211212
41320000031031030
513110402220022
6531440233552
7100614636434
oct17000151514
95168366755
102013320012
11943515140
1248230b8b8
1326115c122
141515652c4
15bbb443e2
hex7800d34c

2013320012 has 96 divisors (see below), whose sum is σ = 4136832000. Its totient is φ = 848637440.

The previous prime is 2013319999. The next prime is 2013320027. The reversal of 2013320012 is 2100233102.

It is a happy number.

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, 3538064 + ... + 3538632.

It is an arithmetic number, because the mean of its divisors is an integer number (43092000).

Almost surely, 22013320012 is an apocalyptic number.

2013320012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2013320012 is an abundant number, since it is smaller than the sum of its proper divisors (2123511988).

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

2013320012 is a wasteful number, since it uses less digits than its factorization.

2013320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013320012 is about 44870.0346779451. The cubic root of 2013320012 is about 1262.7118906127.

Adding to 2013320012 its reverse (2100233102), we get a palindrome (4113553114).

The spelling of 2013320012 in words is "two billion, thirteen million, three hundred twenty thousand, twelve".

Divisors: 1 2 4 11 22 29 44 47 58 59 94 116 118 188 236 319 517 569 638 649 1034 1138 1276 1298 1363 1711 2068 2276 2596 2726 2773 3422 5452 5546 6259 6844 11092 12518 14993 16501 18821 25036 26743 29986 30503 33002 33571 37642 53486 59972 61006 66004 67142 75284 80417 106972 122012 134284 160834 181511 294173 321668 363022 369281 588346 726044 738562 775547 884587 973559 1176692 1477124 1551094 1577837 1769174 1947118 3102188 3155674 3538348 3894236 6311348 8531017 10709149 17062034 17356207 21418298 34124068 34712414 42836596 45757273 69424828 91514546 183029092 503330003 1006660006 2013320012