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10312123132020 = 22352295333140731
BaseRepresentation
bin1001011000001111101001…
…1011111010100001110100
31100111211101120222012022010
42112003322123322201310
52322423212010211040
633533153551004220
72113012011241113
oct226037233724164
940454346865263
1010312123132020
11331638a742896
1211a6685209670
1359a5767a1318
14279176381c7a
1512d396a95e80
hex960fa6fa874

10312123132020 has 96 divisors (see below), whose sum is σ = 29005675816320. Its totient is φ = 2737358369280.

The previous prime is 10312123132013. The next prime is 10312123132027. The reversal of 10312123132020 is 2023132121301.

It is an interprime number because it is at equal distance from previous prime (10312123132013) and next prime (10312123132027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312123132027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73205055 + ... + 73345785.

It is an arithmetic number, because the mean of its divisors is an integer number (302142456420).

Almost surely, 210312123132020 is an apocalyptic number.

10312123132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312123132020 is an abundant number, since it is smaller than the sum of its proper divisors (18693552684300).

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

10312123132020 is a wasteful number, since it uses less digits than its factorization.

10312123132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146305 (or 146303 counting only the distinct ones).

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

Adding to 10312123132020 its reverse (2023132121301), we get a palindrome (12335255253321).

The spelling of 10312123132020 in words is "ten trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1145 1374 2290 2748 3435 4580 5333 6870 10666 13740 15999 21332 26665 31998 53330 63996 79995 106660 140731 159990 281462 319980 422193 562924 703655 844386 1221257 1407310 1688772 2110965 2442514 2814620 3663771 4221930 4885028 6106285 7327542 8443860 12212570 14655084 18318855 24425140 32227399 36637710 64454798 73275420 96682197 128909596 161136995 193364394 322273990 386728788 483410985 644547980 750518423 966821970 1501036846 1933643940 2251555269 3002073692 3752592115 4503110538 7505184230 9006221076 11257776345 15010368460 22515552690 45031105380 171868718867 343737437734 515606156601 687474875468 859343594335 1031212313202 1718687188670 2062424626404 2578030783005 3437374377340 5156061566010 10312123132020