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312203323302213 = 37412711338027623
BaseRepresentation
bin100011011111100101000000…
…0001011101110000101000101
31111221102100100101200121202010
41012333022000023232011011
5311410114401231132323
63024000120550204433
7122521642252163250
oct10677120013560505
91457370311617663
10312203323302213
119052875a975682
122b023119353719
1310528854794385
145714a15a1a097
1526161d185ac93
hex11bf2802ee145

312203323302213 has 32 divisors (see below), whose sum is σ = 489140082450432. Its totient is φ = 173408379811200.

The previous prime is 312203323302197. The next prime is 312203323302239.

312203323302213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312203323302213 - 24 = 312203323302197 is a prime.

It is a super-2 number, since 2×3122033233022132 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312203323302613) 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, 668780481 + ... + 669247142.

It is an arithmetic number, because the mean of its divisors is an integer number (15285627576576).

Almost surely, 2312203323302213 is an apocalyptic number.

It is an amenable number.

312203323302213 is a deficient number, since it is larger than the sum of its proper divisors (176936759148219).

312203323302213 is a wasteful number, since it uses less digits than its factorization.

312203323302213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338027945.

The product of its (nonzero) digits is 23328, while the sum is 30.

The spelling of 312203323302213 in words is "three hundred twelve trillion, two hundred three billion, three hundred twenty-three million, three hundred two thousand, two hundred thirteen".

Divisors: 1 3 7 21 41 123 271 287 813 861 1897 5691 11111 33333 77777 233331 1338027623 4014082869 9366193361 28098580083 54859132543 164577397629 362605485833 384013927801 1087816457499 1152041783403 2538238400831 7614715202493 14866824919153 44600474757459 104067774434071 312203323302213