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312002223030 = 23353892970601
BaseRepresentation
bin1001000101001001100…
…10000001101110110110
31002211022222020010112000
410202210302001232312
520102440032114110
6355155402240130
731353464065251
oct4424462015666
91084288203460
10312002223030
11110357137093
1250574ab6046
1323563591224
141115b17c098
1581b121d1c0
hex48a4c81bb6

312002223030 has 64 divisors (see below), whose sum is σ = 834145041600. Its totient is φ = 82986681600.

The previous prime is 312002222881. The next prime is 312002223047. The reversal of 312002223030 is 30322200213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312002222994 and 312002223012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380271 + ... + 1590330.

It is an arithmetic number, because the mean of its divisors is an integer number (13033516275).

Almost surely, 2312002223030 is an apocalyptic number.

312002223030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312002223030 is an abundant number, since it is smaller than the sum of its proper divisors (522142818570).

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

312002223030 is a wasteful number, since it uses less digits than its factorization.

312002223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971006 (or 2971000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 312002223030 its reverse (30322200213), we get a palindrome (342324423243).

The spelling of 312002223030 in words is "three hundred twelve billion, two million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 389 778 1167 1945 2334 3501 3890 5835 7002 10503 11670 17505 21006 35010 52515 105030 2970601 5941202 8911803 14853005 17823606 26735409 29706010 44559015 53470818 80206227 89118030 133677045 160412454 267354090 401031135 802062270 1155563789 2311127578 3466691367 5777818945 6933382734 10400074101 11555637890 17333456835 20800148202 31200222303 34666913670 52000370505 62400444606 104000741010 156001111515 312002223030