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312443310130020 = 22345751256812571
BaseRepresentation
bin100011100001010100110000…
…0100000110100001101100100
31111222021021210111020121220000
41013002221200200310031210
5311423032344343130040
63024302250344541300
7122545166330440206
oct10702514040641544
91458237714217800
10312443310130020
1190610511208403
122b061734481830
131054537c2033b4
1457224a063a776
15261c57a564130
hex11c2a60834364

312443310130020 has 120 divisors (see below), whose sum is σ = 981451361159808. Its totient is φ = 83207272680000.

The previous prime is 312443310129949. The next prime is 312443310130097. The reversal of 312443310130020 is 20031013344213.

It is a happy number.

312443310130020 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 4 + 331 + 0 + 1 + 300 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127189666 + ... + 129622905.

Almost surely, 2312443310130020 is an apocalyptic number.

312443310130020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312443310130020 is an abundant number, since it is smaller than the sum of its proper divisors (669008051029788).

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

312443310130020 is a wasteful number, since it uses less digits than its factorization.

312443310130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256813343 (or 256813332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312443310130020 its reverse (20031013344213), we get a palindrome (332474323474233).

The spelling of 312443310130020 in words is "three hundred twelve trillion, four hundred forty-three billion, three hundred ten million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 751 810 1502 1620 2253 3004 3755 4506 6759 7510 9012 11265 13518 15020 20277 22530 27036 33795 40554 45060 60831 67590 81108 101385 121662 135180 202770 243324 304155 405540 608310 1216620 256812571 513625142 770437713 1027250284 1284062855 1540875426 2311313139 2568125710 3081750852 3852188565 4622626278 5136251420 6933939417 7704377130 9245252556 11556565695 13867878834 15408754260 20801818251 23113131390 27735757668 34669697085 41603636502 46226262780 69339394170 83207273004 104009091255 138678788340 192866240821 208018182510 385732481642 416036365020 578598722463 771464963284 964331204105 1157197444926 1735796167389 1928662408210 2314394889852 2892993612315 3471592334778 3857324816420 5207388502167 5785987224630 6943184669556 8678980836945 10414777004334 11571974449260 15622165506501 17357961673890 20829554008668 26036942510835 31244331013002 34715923347780 52073885021670 62488662026004 78110827532505 104147770043340 156221655065010 312443310130020