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312103242221000 = 2353859333631937
BaseRepresentation
bin100011011110110110011001…
…0111000101100010111001000
31111221001210000120110220222112
41012331230302320230113020
5311401444420002033000
63023442130005241452
7122511500202056336
oct10675546270542710
91457053016426875
10312103242221000
119049a2727a000a
122b007848403288
131051c2952363a9
14570dc3dcd0b56
1526137c5457235
hex11bdb32e2c5c8

312103242221000 has 64 divisors (see below), whose sum is σ = 730330286615280. Its totient is φ = 124839809740800.

The previous prime is 312103242220921. The next prime is 312103242221009. The reversal of 312103242221000 is 122242301213.

It can be written as a sum of positive squares in 8 ways, for example, as 5507554725124 + 306595687495876 = 2346818^2 + 17509874^2 .

It is not an unprimeable number, because it can be changed into a prime (312103242221009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84117032 + ... + 87748968.

Almost surely, 2312103242221000 is an apocalyptic number.

It is an amenable number.

312103242221000 is an abundant number, since it is smaller than the sum of its proper divisors (418227044394280).

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

312103242221000 is a wasteful number, since it uses less digits than its factorization.

312103242221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717891 (or 3717877 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 312103242221000 its reverse (122242301213), we get a palindrome (312225484522213).

The spelling of 312103242221000 in words is "three hundred twelve trillion, one hundred three billion, two hundred forty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 85933 171866 343732 429665 687464 859330 1718660 2148325 3437320 3631937 4296650 7263874 8593300 10741625 14527748 17186600 18159685 21483250 29055496 36319370 42966500 72638740 85933000 90798425 145277480 181596850 363193700 453992125 726387400 907984250 1815968500 3631937000 312103242221 624206484442 1248412968884 1560516211105 2496825937768 3121032422210 6242064844420 7802581055525 12484129688840 15605162111050 31210324222100 39012905277625 62420648444200 78025810555250 156051621110500 312103242221000