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311323231122012 = 223319374100458763
BaseRepresentation
bin100011011001001011001011…
…0100110011111001001011100
31111211022012200020222120022000
41012302112112212133021130
5311301204434131401022
63022043530140322300
7122401234614113544
oct10662262646371134
91454265606876260
10311323231122012
119021949387451a
122ab00640243390
13104938685797c5
1456c41a65a2324
1525ed371e3c6ac
hex11b259699f25c

311323231122012 has 96 divisors (see below), whose sum is σ = 872577624979200. Its totient is φ = 95655501999936.

The previous prime is 311323231122011. The next prime is 311323231122023. The reversal of 311323231122012 is 210221132323113.

311323231122012 is a `hidden beast` number, since 3 + 1 + 1 + 323 + 2 + 311 + 2 + 20 + 1 + 2 = 666.

It is a super-2 number, since 2×3113232311220122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311323231122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050153458 + ... + 2050305305.

It is an arithmetic number, because the mean of its divisors is an integer number (9089350260200).

Almost surely, 2311323231122012 is an apocalyptic number.

It is an amenable number.

311323231122012 is an abundant number, since it is smaller than the sum of its proper divisors (561254393857188).

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

311323231122012 is a wasteful number, since it uses less digits than its factorization.

311323231122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100458832 (or 4100458824 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 311323231122012 its reverse (210221132323113), we get a palindrome (521544363445125).

The spelling of 311323231122012 in words is "three hundred eleven trillion, three hundred twenty-three billion, two hundred thirty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 666 684 703 999 1026 1332 1406 1998 2052 2109 2812 3996 4218 6327 8436 12654 18981 25308 37962 75924 4100458763 8200917526 12301376289 16401835052 24602752578 36904128867 49205505156 73808257734 77908716497 110712386601 147616515468 151716974231 155817432994 221424773202 233726149491 303433948462 311634865988 442849546404 455150922693 467452298982 606867896924 701178448473 910301845386 934904597964 1365452768079 1402356896946 1820603690772 2103535345419 2730905536158 2804713793892 2882622510389 4096358304237 4207070690838 5461811072316 5765245020778 8192716608474 8414141381676 8647867531167 11530490041556 16385433216948 17295735062334 25943602593501 34591470124668 51887205187002 77830807780503 103774410374004 155661615561006 311323231122012