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23011120 = 2451179331
BaseRepresentation
bin101011111000…
…1111100110000
31121022002022201
41113301330300
521342323440
62141112544
7366406546
oct127617460
947262281
1023011120
1111a97660
127858754
1349c8b62
1430add96
15204819a
hex15f1f30

23011120 has 80 divisors (see below), whose sum is σ = 59281920. Its totient is φ = 8236800.

The previous prime is 23011117. The next prime is 23011129. The reversal of 23011120 is 2111032.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 23011097 and 23011106.

It is not an unprimeable number, because it can be changed into a prime (23011129) 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, 69355 + ... + 69685.

It is an arithmetic number, because the mean of its divisors is an integer number (741024).

Almost surely, 223011120 is an apocalyptic number.

23011120 is a gapful number since it is divisible by the number (20) 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 23011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640960).

23011120 is an abundant number, since it is smaller than the sum of its proper divisors (36270800).

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

23011120 is a wasteful number, since it uses less digits than its factorization.

23011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 23011120 is about 4796.9907233598. The cubic root of 23011120 is about 284.4325221963.

Adding to 23011120 its reverse (2111032), we get a palindrome (25122152).

The spelling of 23011120 in words is "twenty-three million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 316 331 395 440 632 662 790 869 880 1264 1324 1580 1655 1738 2648 3160 3310 3476 3641 4345 5296 6320 6620 6952 7282 8690 13240 13904 14564 17380 18205 26149 26480 29128 34760 36410 52298 58256 69520 72820 104596 130745 145640 209192 261490 287639 291280 418384 522980 575278 1045960 1150556 1438195 2091920 2301112 2876390 4602224 5752780 11505560 23011120