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23032332120 = 2335738970487
BaseRepresentation
bin10101011100110101…
…010111111101011000
32012110011101200220210
4111130311113331120
5334132234111440
614325250451120
71443522410220
oct253465277530
965404350823
1023032332120
11984a173026
124569593aa0
13223099c7b5
141186d07080
158ec099a80
hex55cd57f58

23032332120 has 128 divisors (see below), whose sum is σ = 79172121600. Its totient is φ = 5250925056.

The previous prime is 23032332101. The next prime is 23032332143. The reversal of 23032332120 is 2123323032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291517 + ... + 362003.

It is an arithmetic number, because the mean of its divisors is an integer number (618532200).

Almost surely, 223032332120 is an apocalyptic number.

23032332120 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 23032332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39586060800).

23032332120 is an abundant number, since it is smaller than the sum of its proper divisors (56139789480).

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

23032332120 is a wasteful number, since it uses less digits than its factorization.

23032332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70897 (or 70893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 23032332120 its reverse (2123323032), we get a palindrome (25155655152).

The spelling of 23032332120 in words is "twenty-three billion, thirty-two million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 389 420 778 840 1167 1556 1945 2334 2723 3112 3890 4668 5446 5835 7780 8169 9336 10892 11670 13615 15560 16338 21784 23340 27230 32676 40845 46680 54460 65352 70487 81690 108920 140974 163380 211461 281948 326760 352435 422922 493409 563896 704870 845844 986818 1057305 1409740 1480227 1691688 1973636 2114610 2467045 2819480 2960454 3947272 4229220 4934090 5920908 7401135 8458440 9868180 11841816 14802270 19736360 27419443 29604540 54838886 59209080 82258329 109677772 137097215 164516658 191936101 219355544 274194430 329033316 383872202 411291645 548388860 575808303 658066632 767744404 822583290 959680505 1096777720 1151616606 1535488808 1645166580 1919361010 2303233212 2879041515 3290333160 3838722020 4606466424 5758083030 7677444040 11516166060 23032332120