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312340322210033 = 132916724683200989
BaseRepresentation
bin100011100000100100110010…
…1111101000101000011110001
31111221220102222002022012222002
41013001021211331011003301
5311414340434441210113
63024143055124223345
7122534562232530545
oct10701114575050361
91457812862265862
10312340322210033
1190580872212847
122b045791b3ab55
131053874867b980
14571b4d0839a25
152619a4dd6ec58
hex11c1265f450f1

312340322210033 has 32 divisors (see below), whose sum is σ = 350064894009600. Its totient is φ = 276692789673216.

The previous prime is 312340322210011. The next prime is 312340322210053. The reversal of 312340322210033 is 330012223043213.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 312340322210033 - 218 = 312340321947889 is a prime.

It is a super-2 number, since 2×3123403222100332 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312340322209978 and 312340322210005.

It is not an unprimeable number, because it can be changed into a prime (312340322210053) 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, 1553916503 + ... + 1554117491.

It is an arithmetic number, because the mean of its divisors is an integer number (10939527937800).

Almost surely, 2312340322210033 is an apocalyptic number.

It is an amenable number.

312340322210033 is a deficient number, since it is larger than the sum of its proper divisors (37724571799567).

312340322210033 is a wasteful number, since it uses less digits than its factorization.

312340322210033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225881.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 312340322210033 its reverse (330012223043213), we get a palindrome (642352545253246).

The spelling of 312340322210033 in words is "three hundred twelve trillion, three hundred forty billion, three hundred twenty-two million, two hundred ten thousand, thirty-three".

Divisors: 1 13 29 167 377 2171 4843 24683 62959 200989 320879 715807 2612857 4122061 5828681 9305491 33565163 53586793 75772853 119539769 436347119 973389727 1554016997 4961011487 12654066451 64493149331 143869333123 828488918329 1870301330599 10770355938277 24026178631541 312340322210033