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1023220102120 = 23589743386839
BaseRepresentation
bin11101110001111001010…
…10111011001111101000
310121211002222010211102021
432320330222323033220
5113231023321231440
62102021045514224
7133632230235526
oct16707452731750
93554088124367
101023220102120
11364a44088337
12146382412974
1375648b2ca38
143774a26b316
151b93a05184a
hexee3cabb3e8

1023220102120 has 64 divisors (see below), whose sum is σ = 2331252576000. Its totient is φ = 404143584768.

The previous prime is 1023220102103. The next prime is 1023220102123. The reversal of 1023220102120 is 212010223201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1023220102094 and 1023220102103.

It is not an unprimeable number, because it can be changed into a prime (1023220102123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451661 + ... + 2838499.

It is an arithmetic number, because the mean of its divisors is an integer number (36425821500).

Almost surely, 21023220102120 is an apocalyptic number.

1023220102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023220102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165626288000).

1023220102120 is an abundant number, since it is smaller than the sum of its proper divisors (1308032473880).

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

1023220102120 is a wasteful number, since it uses less digits than its factorization.

1023220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387682 (or 387678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1023220102120 its reverse (212010223201), we get a palindrome (1235230325321).

The spelling of 1023220102120 in words is "one trillion, twenty-three billion, two hundred twenty million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 743 890 1486 1780 2972 3560 3715 5944 7430 14860 29720 66127 132254 264508 330635 386839 529016 661270 773678 1322540 1547356 1934195 2645080 3094712 3868390 7736780 15473560 34428671 68857342 137714684 172143355 275429368 287421377 344286710 574842754 688573420 1149685508 1377146840 1437106885 2299371016 2874213770 5748427540 11496855080 25580502553 51161005106 102322010212 127902512765 204644020424 255805025530 511610051060 1023220102120