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1311021023214 = 237271316919819
BaseRepresentation
bin10011000100111110111…
…100010011111111101110
311122022222022100102220010
4103010332330103333232
5132434432340220324
62442135202234050
7163501215554400
oct23047674237756
94568868312803
101311021023214
1146600120a041
12192102355926
13968234a2b56
144764d16cb70
1524181768829
hex1313ef13fee

1311021023214 has 96 divisors (see below), whose sum is σ = 3094222291200. Its totient is φ = 369166533120.

The previous prime is 1311021023209. The next prime is 1311021023233. The reversal of 1311021023214 is 4123201201131.

It is a super-2 number, since 2×13110210232142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66139797 + ... + 66159615.

It is an arithmetic number, because the mean of its divisors is an integer number (32231482200).

Almost surely, 21311021023214 is an apocalyptic number.

1311021023214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311021023214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547111145600).

1311021023214 is an abundant number, since it is smaller than the sum of its proper divisors (1783201267986).

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

1311021023214 is a wasteful number, since it uses less digits than its factorization.

1311021023214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23078 (or 23071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1311021023214 its reverse (4123201201131), we get a palindrome (5434222224345).

The spelling of 1311021023214 in words is "one trillion, three hundred eleven billion, twenty-one million, twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2982 3169 3479 6338 6958 9507 10437 19014 19819 20874 22183 39638 44366 59457 66549 118914 133098 138733 155281 224999 277466 310562 416199 449998 465843 674997 832398 931686 971131 1349994 1407149 1574993 1942262 2814298 2913393 3149986 4221447 4724979 5826786 8442894 9449958 9850043 11024951 19700086 22049902 29550129 33074853 59100258 62806411 66149706 68950301 125612822 137900602 188419233 206850903 376838466 413701806 439644877 879289754 1318934631 2637869262 3077514139 4459255181 6155028278 8918510362 9232542417 13377765543 18465084834 26755531086 31214786267 62429572534 93644358801 187288717602 218503503869 437007007738 655510511607 1311021023214