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312323331330 = 233519281216661
BaseRepresentation
bin1001000101101111110…
…10111101010100000010
31002212011100110010022000
410202313322331110002
520104114233100310
6355251312524430
731364443341123
oct4426772752402
91085140403260
10312323331330
1111050141854a
1250644550716
13235b4c6ca3a
141118ba8804a
1581ce4eb4c0
hex48b7ebd502

312323331330 has 128 divisors (see below), whose sum is σ = 879821049600. Its totient is φ = 78621580800.

The previous prime is 312323331269. The next prime is 312323331367. The reversal of 312323331330 is 33133323213.

312323331330 is a `hidden beast` number, since 3 + 1 + 2 + 323 + 3 + 3 + 1 + 330 = 666.

312323331330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312323331294 and 312323331303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1333200 + ... + 1549860.

It is an arithmetic number, because the mean of its divisors is an integer number (6873601950).

Almost surely, 2312323331330 is an apocalyptic number.

312323331330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312323331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439910524800).

312323331330 is an abundant number, since it is smaller than the sum of its proper divisors (567497718270).

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

312323331330 is a wasteful number, since it uses less digits than its factorization.

312323331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216977 (or 216971 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 312323331330 its reverse (33133323213), we get a palindrome (345456654543).

The spelling of 312323331330 in words is "three hundred twelve billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 281 285 342 513 562 570 843 855 1026 1405 1686 1710 2529 2565 2810 4215 5058 5130 5339 7587 8430 10678 12645 15174 16017 25290 26695 32034 37935 48051 53390 75870 80085 96102 144153 160170 216661 240255 288306 433322 480510 649983 720765 1083305 1299966 1441530 1949949 2166610 3249915 3899898 4116559 5849847 6499830 8233118 9749745 11699694 12349677 19499490 20582795 24699354 29249235 37049031 41165590 58498470 60881741 61748385 74098062 111147093 121763482 123496770 182645223 185245155 222294186 304408705 365290446 370490310 547935669 555735465 608817410 913226115 1095871338 1111470930 1156753079 1643807007 1826452230 2313506158 2739678345 3287614014 3470259237 5479356690 5783765395 6940518474 8219035035 10410777711 11567530790 16438070070 17351296185 20821555422 31232333133 34702592370 52053888555 62464666266 104107777110 156161665665 312323331330