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1311022130012 = 227315359483017
BaseRepresentation
bin10011000100111111000…
…000100010001101011100
311122022222101102200010122
4103010333000202031130
5132434433131130022
62442135242054112
7163501231144250
oct23047700421534
94568871380118
101311022130012
114660018a5651
121921027aa338
139682379c86a
144764d37a260
15241818d6742
hex1313f02235c

1311022130012 has 96 divisors (see below), whose sum is σ = 2804441149440. Its totient is φ = 524439452160.

The previous prime is 1311022129999. The next prime is 1311022130021. The reversal of 1311022130012 is 2100312201131.

It is a super-2 number, since 2×13110221300122 (a number of 25 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 31 ways as a sum of consecutive naturals, for example, 2472728 + ... + 2955744.

It is an arithmetic number, because the mean of its divisors is an integer number (29212928640).

Almost surely, 21311022130012 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 1311022130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402220574720).

1311022130012 is an abundant number, since it is smaller than the sum of its proper divisors (1493419019428).

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

1311022130012 is a wasteful number, since it uses less digits than its factorization.

1311022130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483171 (or 483169 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1311022130012 its reverse (2100312201131), we get a palindrome (3411334331143).

The spelling of 1311022130012 in words is "one trillion, three hundred eleven billion, twenty-two million, one hundred thirty thousand, twelve".

Divisors: 1 2 4 7 14 28 31 53 59 62 106 118 124 212 217 236 371 413 434 742 826 868 1484 1643 1652 1829 3127 3286 3658 6254 6572 7316 11501 12508 12803 21889 23002 25606 43778 46004 51212 87556 96937 193874 387748 483017 678559 966034 1357118 1932068 2714236 3381119 6762238 13524476 14973527 25599901 28498003 29947054 51199802 56996006 59894108 102399604 104814689 113992012 179199307 199486021 209629378 358398614 398972042 419258756 716797228 793596931 797944084 883438093 1510394159 1587193862 1766876186 3020788318 3174387724 3533752372 5555178517 6041576636 6184066651 10572759113 11110357034 12368133302 21145518226 22220714068 24736266604 42291036452 46822218929 93644437858 187288875716 327755532503 655511065006 1311022130012