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11311101312312 = 2338330718495973
BaseRepresentation
bin1010010010011001001000…
…1011001111110100111000
31111001022221002122210122210
42210212102023033310320
52440310113413443222
640020125340215120
72245125430541004
oct244462213176470
944038832583583
1011311101312312
1136710138a148a
121328200b3a4a0
1364082b1601c9
142b1662bdb704
1514936376ad0c
hexa49922cfd38

11311101312312 has 64 divisors (see below), whose sum is σ = 28711670359680. Its totient is φ = 3712807435392.

The previous prime is 11311101312307. The next prime is 11311101312377. The reversal of 11311101312312 is 21321310111311.

It is a super-3 number, since 3×113111013123123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8636443 + ... + 9859530.

It is an arithmetic number, because the mean of its divisors is an integer number (448619849370).

Almost surely, 211311101312312 is an apocalyptic number.

11311101312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11311101312312 is an abundant number, since it is smaller than the sum of its proper divisors (17400569047368).

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

11311101312312 is a wasteful number, since it uses less digits than its factorization.

11311101312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18496372 (or 18496368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11311101312312 its reverse (21321310111311), we get a palindrome (32632411423623).

The spelling of 11311101312312 in words is "eleven trillion, three hundred eleven billion, one hundred one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 83 166 249 307 332 498 614 664 921 996 1228 1842 1992 2456 3684 7368 25481 50962 76443 101924 152886 203848 305772 611544 18495973 36991946 55487919 73983892 110975838 147967784 221951676 443903352 1535165759 3070331518 4605497277 5678263711 6140663036 9210994554 11356527422 12281326072 17034791133 18421989108 22713054844 34069582266 36843978216 45426109688 68139164532 136278329064 471295888013 942591776026 1413887664039 1885183552052 2827775328078 3770367104104 5655550656156 11311101312312