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10212020120 = 2354322432647
BaseRepresentation
bin10011000001010111…
…10000111110011000
3222100200201101001102
421200223300332120
5131403234120440
64405155010532
7511030511261
oct114053607630
928320641042
1010212020120
114370467955
121b8bb99a48
13c698c2973
146cc393968
153eb7ddb15
hex260af0f98

10212020120 has 64 divisors (see below), whose sum is σ = 23530763520. Its totient is φ = 3986527104.

The previous prime is 10212020057. The next prime is 10212020129. The reversal of 10212020120 is 2102021201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212020129) 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, 3856637 + ... + 3859283.

It is an arithmetic number, because the mean of its divisors is an integer number (367668180).

Almost surely, 210212020120 is an apocalyptic number.

10212020120 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 10212020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765381760).

10212020120 is an abundant number, since it is smaller than the sum of its proper divisors (13318743400).

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

10212020120 is a wasteful number, since it uses less digits than its factorization.

10212020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212020120 its reverse (2102021201), we get a palindrome (12314041321).

The spelling of 10212020120 in words is "ten billion, two hundred twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2243 2647 4486 5294 8972 10588 11215 13235 17944 21176 22430 26470 44860 52940 89720 96449 105880 113821 192898 227642 385796 455284 482245 569105 771592 910568 964490 1138210 1928980 2276420 3857960 4552840 5937221 11874442 23748884 29686105 47497768 59372210 118744420 237488840 255300503 510601006 1021202012 1276502515 2042404024 2553005030 5106010060 10212020120