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312223002021 = 32743791458911
BaseRepresentation
bin1001000101100011111…
…00001110110110100101
31002211220100122212100200
410202301330032312211
520103413042031041
6355233330301113
731362114504630
oct4426174166645
91084810585320
10312223002021
1111045a821667
1250616a27799
132359a242398
141117c60cc17
1581c57ce1b6
hex48b1f0eda5

312223002021 has 48 divisors (see below), whose sum is σ = 534078504960. Its totient is φ = 172058009760.

The previous prime is 312223002019. The next prime is 312223002023. The reversal of 312223002021 is 120200322213.

312223002021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312223002019) and next prime (312223002023).

It is not a de Polignac number, because 312223002021 - 21 = 312223002019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312223001985 and 312223002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312223002023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515445 + ... + 943466.

It is an arithmetic number, because the mean of its divisors is an integer number (11126635520).

Almost surely, 2312223002021 is an apocalyptic number.

It is an amenable number.

312223002021 is a deficient number, since it is larger than the sum of its proper divisors (221855502939).

312223002021 is a wasteful number, since it uses less digits than its factorization.

312223002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459046 (or 1459043 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 312223002021 its reverse (120200322213), we get a palindrome (432423324234).

The spelling of 312223002021 in words is "three hundred twelve billion, two hundred twenty-three million, two thousand, twenty-one".

Divisors: 1 3 7 9 21 43 63 79 129 237 301 387 553 711 903 1659 2709 3397 4977 10191 23779 30573 71337 214011 1458911 4376733 10212377 13130199 30637131 62733173 91911393 115253969 188199519 345761907 439132211 564598557 806777783 1037285721 1317396633 2420333349 3952189899 4955920667 7261000047 14867762001 34691444669 44603286003 104074334007 312223002021