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312331211040 = 25352922437587
BaseRepresentation
bin1001000101110000110…
…01000001000100100000
31002212011220021110020010
410202320121001010200
520104123242223130
6355252153444520
731364600330052
oct4427031010440
91085156243203
10312331211040
1111050590a702
1250647110740
13235b679b4a4
141118cb398d2
1581d00560b0
hex48b8641120

312331211040 has 96 divisors (see below), whose sum is σ = 1017768991680. Its totient is φ = 80416308224.

The previous prime is 312331211039. The next prime is 312331211051. The reversal of 312331211040 is 40112133213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 312331210998 and 312331211016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11204874 + ... + 11232713.

It is an arithmetic number, because the mean of its divisors is an integer number (10601760330).

Almost surely, 2312331211040 is an apocalyptic number.

312331211040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312331211040 is an abundant number, since it is smaller than the sum of its proper divisors (705437780640).

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

312331211040 is a wasteful number, since it uses less digits than its factorization.

312331211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22437634 (or 22437626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312331211040 its reverse (40112133213), we get a palindrome (352443344253).

The spelling of 312331211040 in words is "three hundred twelve billion, three hundred thirty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 22437587 44875174 67312761 89750348 112187935 134625522 179500696 224375870 269251044 336563805 359001392 448751740 538502088 650690023 673127610 718002784 897503480 1077004176 1301380046 1346255220 1795006960 1952070069 2154008352 2602760092 2692510440 3253450115 3590013920 3904140138 5205520184 5385020880 6506900230 7808280276 9760350345 10411040368 10770041760 13013800460 15616560552 19520700690 20822080736 26027600920 31233121104 39041401380 52055201840 62466242208 78082802760 104110403680 156165605520 312331211040