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10023223120 = 2451722673251
BaseRepresentation
bin10010101010110111…
…00011111101010000
3221212112110111020221
421111123203331100
5131011421114440
64334332242424
7503245663561
oct112533437520
927775414227
1010023223120
114283936979
121b38910414
13c3975b971
146b128a168
153d9e48d4a
hex2556e3f50

10023223120 has 80 divisors (see below), whose sum is σ = 24693294528. Its totient is φ = 3770624000.

The previous prime is 10023223079. The next prime is 10023223123. The reversal of 10023223120 is 2132232001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10023223094 and 10023223103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023223123) 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, 3081495 + ... + 3084745.

Almost surely, 210023223120 is an apocalyptic number.

10023223120 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 10023223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12346647264).

10023223120 is an abundant number, since it is smaller than the sum of its proper divisors (14670071408).

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

10023223120 is a wasteful number, since it uses less digits than its factorization.

10023223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10023223120 its reverse (2132232001), we get a palindrome (12155455121).

The spelling of 10023223120 in words is "ten billion, twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2267 3251 4534 6502 9068 11335 13004 16255 18136 22670 26008 32510 36272 38539 45340 52016 55267 65020 77078 90680 110534 130040 154156 181360 192695 221068 260080 276335 308312 385390 442136 552670 616624 770780 884272 1105340 1541560 2210680 3083120 4421360 7370017 14740034 29480068 36850085 58960136 73700170 117920272 125290289 147400340 250580578 294800680 501161156 589601360 626451445 1002322312 1252902890 2004644624 2505805780 5011611560 10023223120