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20230120040 = 23513193495867
BaseRepresentation
bin10010110101110011…
…110010001001101000
31221012212112120121012
4102311303302021220
5312412402320130
613143225403052
71314215116544
oct226563621150
957185476535
1020230120040
118641414679
123b07039488
131ba5279740
14d9caa8a24
157d6074995
hex4b5cf2268

20230120040 has 128 divisors (see below), whose sum is σ = 51755760000. Its totient is φ = 7054967808.

The previous prime is 20230120033. The next prime is 20230120049. The reversal of 20230120040 is 4002103202.

It is a junction number, because it is equal to n+sod(n) for n = 20230119997 and 20230120024.

It is not an unprimeable number, because it can be changed into a prime (20230120049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3445187 + ... + 3451053.

It is an arithmetic number, because the mean of its divisors is an integer number (404341875).

Almost surely, 220230120040 is an apocalyptic number.

20230120040 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 20230120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25877880000).

20230120040 is an abundant number, since it is smaller than the sum of its proper divisors (31525639960).

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

20230120040 is a wasteful number, since it uses less digits than its factorization.

20230120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20230120040 its reverse (4002103202), we get a palindrome (24232223242).

The spelling of 20230120040 in words is "twenty billion, two hundred thirty million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 349 380 494 520 698 760 988 1235 1396 1745 1976 2470 2792 3490 4537 4940 5867 6631 6980 9074 9880 11734 13262 13960 18148 22685 23468 26524 29335 33155 36296 45370 46936 53048 58670 66310 76271 86203 90740 111473 117340 132620 152542 172406 181480 222946 234680 265240 305084 344812 381355 431015 445892 557365 610168 689624 762710 862030 891784 1114730 1449149 1525420 1724060 2047583 2229460 2898298 3050840 3448120 4095166 4458920 5796596 7245745 8190332 10237915 11593192 14491490 16380664 20475830 26618579 28982980 38904077 40951660 53237158 57965960 77808154 81903320 106474316 133092895 155616308 194520385 212948632 266185790 311232616 389040770 505753001 532371580 778081540 1011506002 1064743160 1556163080 2023012004 2528765005 4046024008 5057530010 10115060020 20230120040