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10123441020 = 22335711243469
BaseRepresentation
bin10010110110110011…
…10111001101111100
3222010112001002101000
421123121313031330
5131213100103040
64352312250300
7505603554210
oct113331671574
928115032330
1010123441020
114325467090
121b663a0990
13c5444a6b4
146c06d6940
153e3b43130
hex25b67737c

10123441020 has 192 divisors, whose sum is σ = 39266841600. Its totient is φ = 2103563520.

The previous prime is 10123440979. The next prime is 10123441033. The reversal of 10123441020 is 2014432101.

10123441020 is a `hidden beast` number, since 1 + 0 + 1 + 234 + 410 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10123440984 and 10123441002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80155 + ... + 163314.

It is an arithmetic number, because the mean of its divisors is an integer number (204514800).

Almost surely, 210123441020 is an apocalyptic number.

10123441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123441020 is an abundant number, since it is smaller than the sum of its proper divisors (29143400580).

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

10123441020 is a wasteful number, since it uses less digits than its factorization.

10123441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243505 (or 243497 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10123441020 its reverse (2014432101), we get a palindrome (12137873121).

The spelling of 10123441020 in words is "ten billion, one hundred twenty-three million, four hundred forty-one thousand, twenty".