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312231303132213 = 34710131217024933
BaseRepresentation
bin100011011111110010000001…
…1111010010011010000110101
31111221112000120100200020212010
41012333210003322103100311
5311411044202100212323
63024021025215114433
7122523652521622533
oct10677440372232065
91457460510606763
10312231303132213
1190539608846023
122b028627812a19
131052b39346c4ba
14571610ba39153
152616cbce3ac93
hex11bf903e93435

312231303132213 has 32 divisors (see below), whose sum is σ = 429513231877632. Its totient is φ = 201643648128000.

The previous prime is 312231303132191. The next prime is 312231303132347.

312231303132213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312231303132213 - 216 = 312231303066677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312231303132013) 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, 40933695 + ... + 47958627.

It is an arithmetic number, because the mean of its divisors is an integer number (13422288496176).

Almost surely, 2312231303132213 is an apocalyptic number.

It is an amenable number.

312231303132213 is a deficient number, since it is larger than the sum of its proper divisors (117281928745419).

312231303132213 is a wasteful number, since it uses less digits than its factorization.

312231303132213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028205.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 31223130 and 3132213, that added together give a palindrome (34355343).

The spelling of 312231303132213 in words is "three hundred twelve trillion, two hundred thirty-one billion, three hundred three million, one hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 47 101 141 303 3121 4747 9363 14241 146687 315221 440061 945663 7024933 14815387 21074799 44446161 330171851 709518233 990515553 2128554699 21924815893 33347356951 65774447679 100042070853 1030466346971 2214406405193 3091399040913 6643219215579 104077101044071 312231303132213