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10301010120 = 23325109262513
BaseRepresentation
bin10011001011111110…
…01111000011001000
3222120220011112101100
421211333033003020
5132044024310440
64422054221400
7513161066322
oct114577170310
928526145340
1010301010120
114406719405
121bb5954860
13c8217cc7b
146da11a612
1540451b230
hex265fcf0c8

10301010120 has 96 divisors (see below), whose sum is σ = 33785551800. Its totient is φ = 2721724416.

The previous prime is 10301010101. The next prime is 10301010127. The reversal of 10301010120 is 2101010301.

It can be written as a sum of positive squares in 4 ways, for example, as 9657779076 + 643231044 = 98274^2 + 25362^2 .

It is a super-2 number, since 2×103010101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10301010127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92017 + ... + 170496.

Almost surely, 210301010120 is an apocalyptic number.

10301010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301010120 is an abundant number, since it is smaller than the sum of its proper divisors (23484541680).

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

10301010120 is a wasteful number, since it uses less digits than its factorization.

10301010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262639 (or 262632 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10301010120 its reverse (2101010301), we get a palindrome (12402020421).

The spelling of 10301010120 in words is "ten billion, three hundred one million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 39240 262513 525026 787539 1050052 1312565 1575078 2100104 2362617 2625130 3150156 3937695 4725234 5250260 6300312 7875390 9450468 10500520 11813085 15750780 18900936 23626170 28613917 31501560 47252340 57227834 85841751 94504680 114455668 143069585 171683502 228911336 257525253 286139170 343367004 429208755 515050506 572278340 686734008 858417510 1030101012 1144556680 1287626265 1716835020 2060202024 2575252530 3433670040 5150505060 10301010120