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10123122020 = 22511236132797
BaseRepresentation
bin10010110110110001…
…01001010101100100
3222010111102212210012
421123120221111210
5131213004401040
64352301345352
7505601055164
oct113330512544
928114385705
1010123122020
114325269450
121b66268258
13c5436843b
146c06525a4
153e3acd865
hex25b629564

10123122020 has 96 divisors (see below), whose sum is σ = 24596925696. Its totient is φ = 3463257600.

The previous prime is 10123122007. The next prime is 10123122067. The reversal of 10123122020 is 2022132101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10123121986 and 10123122004.

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, 292262 + ... + 325058.

It is an arithmetic number, because the mean of its divisors is an integer number (256217976).

Almost surely, 210123122020 is an apocalyptic number.

10123122020 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 10123122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298462848).

10123122020 is an abundant number, since it is smaller than the sum of its proper divisors (14473803676).

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

10123122020 is a wasteful number, since it uses less digits than its factorization.

10123122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32901 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10123122020 its reverse (2022132101), we get a palindrome (12145254121).

The spelling of 10123122020 in words is "ten billion, one hundred twenty-three million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 61 92 110 115 122 220 230 244 253 305 460 506 610 671 1012 1220 1265 1342 1403 2530 2684 2806 3355 5060 5612 6710 7015 13420 14030 15433 28060 30866 32797 61732 65594 77165 131188 154330 163985 308660 327970 360767 655940 721534 754331 1443068 1508662 1803835 2000617 3017324 3607670 3771655 4001234 7215340 7543310 8002468 8297641 10003085 15086620 16595282 20006170 22006787 33190564 40012340 41488205 44013574 46014191 82976410 88027148 92028382 110033935 165952820 184056764 220067870 230070955 440135740 460141910 506156101 920283820 1012312202 2024624404 2530780505 5061561010 10123122020