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10332014410120 = 2351371279848711
BaseRepresentation
bin1001011001011001110000…
…0011000111100110001000
31100120201201211220211010211
42112112130003013212020
52323234431142110440
633550243434050504
72114314643305414
oct226263403074610
940521654824124
1010332014410120
1133238678634a7
1211aa4b6879a34
1359c3c67a0570
1427a102045d44
1512db5ced7eea
hex9659c0c7988

10332014410120 has 64 divisors (see below), whose sum is σ = 25387875152640. Its totient is φ = 3761166662400.

The previous prime is 10332014410103. The next prime is 10332014410121. The reversal of 10332014410120 is 2101441023301.

It is a junction number, because it is equal to n+sod(n) for n = 10332014410091 and 10332014410100.

It is not an unprimeable number, because it can be changed into a prime (10332014410121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139887436 + ... + 139961275.

It is an arithmetic number, because the mean of its divisors is an integer number (396685549260).

Almost surely, 210332014410120 is an apocalyptic number.

10332014410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10332014410120 is an abundant number, since it is smaller than the sum of its proper divisors (15055860742520).

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

10332014410120 is a wasteful number, since it uses less digits than its factorization.

10332014410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279848806 (or 279848802 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10332014410120 its reverse (2101441023301), we get a palindrome (12433455433421).

The spelling of 10332014410120 in words is "ten trillion, three hundred thirty-two billion, fourteen million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 4615 7384 9230 18460 36920 279848711 559697422 1119394844 1399243555 2238789688 2798487110 3638033243 5596974220 7276066486 11193948440 14552132972 18190166215 19869258481 29104265944 36380332430 39738516962 72760664860 79477033924 99346292405 145521329720 158954067848 198692584810 258300360253 397385169620 516600720506 794770339240 1033201441012 1291501801265 2066402882024 2583003602530 5166007205060 10332014410120