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312211325120 = 2652342420017
BaseRepresentation
bin1001000101100010011…
…11101100000011000000
31002211212112200121122212
410202301033230003000
520103402044400440
6355232232121252
731361613322322
oct4426117540300
91084775617585
10312211325120
11110454176632
1250612b36228
13235979b4486
141117ac4d612
1581c4774465
hex48b13ec0c0

312211325120 has 56 divisors (see below), whose sum is σ = 775777289184. Its totient is φ = 119454765056.

The previous prime is 312211325119. The next prime is 312211325123. The reversal of 312211325120 is 21523112213.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (312211325123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21202649 + ... + 21217368.

Almost surely, 2312211325120 is an apocalyptic number.

It is an amenable number.

312211325120 is an abundant number, since it is smaller than the sum of its proper divisors (463565964064).

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

312211325120 is a wasteful number, since it uses less digits than its factorization.

312211325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42420057 (or 42420047 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 312211325120 its reverse (21523112213), we get a palindrome (333734437333).

The spelling of 312211325120 in words is "three hundred twelve billion, two hundred eleven million, three hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 42420017 84840034 169680068 212100085 339360136 424200170 678720272 848400340 975660391 1357440544 1696800680 1951320782 2714881088 3393601360 3902641564 4878301955 6787202720 7805283128 9756603910 13574405440 15610566256 19513207820 31221132512 39026415640 62442265024 78052831280 156105662560 312211325120