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312111013114422 = 23367953820911027
BaseRepresentation
bin100011011110111010000001…
…0000100010011001000110110
31111221002112002010210012202000
41012331310002010103020312
5311402111323324130142
63023445453042400130
7122512163601424314
oct10675640204231066
91457075063705660
10312111013114422
11904a25a0205285
122b009256960046
131051cc33170a92
145710379d9b0b4
152613acc79914c
hex11bdd02113236

312111013114422 has 128 divisors (see below), whose sum is σ = 704820371443200. Its totient is φ = 102354920414208.

The previous prime is 312111013114403. The next prime is 312111013114451. The reversal of 312111013114422 is 224411310111213.

312111013114422 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 110 + 13 + 114 + 422 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28304248873 + ... + 28304259899.

It is an arithmetic number, because the mean of its divisors is an integer number (5506409151900).

Almost surely, 2312111013114422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312111013114422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352410185721600).

312111013114422 is an abundant number, since it is smaller than the sum of its proper divisors (392709358328778).

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

312111013114422 is a wasteful number, since it uses less digits than its factorization.

312111013114422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20267 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 312111013114422 its reverse (224411310111213), we get a palindrome (536522323225635).

The spelling of 312111013114422 in words is "three hundred twelve trillion, one hundred eleven billion, thirteen million, one hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 953 1206 1809 1906 2859 3618 5718 8209 8577 11027 16418 17154 22054 24627 25731 33081 49254 51462 63851 66162 73881 99243 127702 147762 191553 198486 221643 297729 383106 443286 550003 574659 595458 738809 1100006 1149318 1477618 1650009 1723977 2216427 3300018 3447954 4432854 4950027 6649281 7823177 9900054 10508731 13298562 14850081 15646354 19947843 21017462 23469531 29700162 31526193 39895686 46939062 63052386 70408593 90520643 94578579 140817186 181041286 189157158 211225779 271561929 283735737 422451558 524152859 543123858 567471474 704084977 814685787 1048305718 1408169954 1572458577 1629371574 2112254931 2444057361 3144917154 4224509862 4717375731 4888114722 6064883081 6336764793 9434751462 12129766162 12673529586 14152127193 18194649243 19010294379 28304254386 36389298486 38020588758 54583947729 86266172779 109167895458 163751843187 172532345558 258798518337 327503686374 517597036674 776395555011 1552791110022 2329186665033 4658373330066 5779833576193 11559667152386 17339500728579 34679001457158 52018502185737 104037004371474 156055506557211 312111013114422