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1023303313120 = 25511718189047
BaseRepresentation
bin11101110010000011010…
…00010110011011100000
310121211022202201101110011
432321001220112123200
5113231211122004440
62102033221214304
7133634260434304
oct16710150263340
93554282641404
101023303313120
11364a87051a60
121463a6261394
137566014580a
143775732bd04
151b9424db9ea
hexee41a166e0

1023303313120 has 96 divisors (see below), whose sum is σ = 2674477564416. Its totient is φ = 366869260800.

The previous prime is 1023303313117. The next prime is 1023303313159. The reversal of 1023303313120 is 213133033201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1023303313091 and 1023303313100.

It is a congruent number.

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, 3969564 + ... + 4219483.

It is an arithmetic number, because the mean of its divisors is an integer number (27859141296).

Almost surely, 21023303313120 is an apocalyptic number.

1023303313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023303313120 is an abundant number, since it is smaller than the sum of its proper divisors (1651174251296).

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

1023303313120 is a wasteful number, since it uses less digits than its factorization.

1023303313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8189144 (or 8189136 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1023303313120 its reverse (213133033201), we get a palindrome (1236436346321).

The spelling of 1023303313120 in words is "one trillion, twenty-three billion, three hundred three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 124960 8189047 16378094 32756188 40945235 65512376 81890470 90079517 131024752 163780940 180159034 262049504 327561880 360318068 450397585 581422337 655123760 720636136 900795170 1162844674 1310247520 1441272272 1801590340 2325689348 2882544544 2907111685 3603180680 4651378696 5814223370 6395645707 7206361360 9302757392 11628446740 12791291414 14412722720 18605514784 23256893480 25582582828 31978228535 46513786960 51165165656 63956457070 93027573920 102330331312 127912914140 204660662624 255825828280 511651656560 1023303313120