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20212000120 = 23513192107671
BaseRepresentation
bin10010110100101110…
…101010010101111000
31221011121102222202001
4102310232222111320
5312343233000440
613141341150344
71313605111024
oct226456522570
957147388661
1020212000120
118632168934
123b00b5b3b4
131ba15a3cb0
14d9a50d384
157d4695b9a
hex4b4baa578

20212000120 has 96 divisors (see below), whose sum is σ = 51689020320. Its totient is φ = 7070042880.

The previous prime is 20212000097. The next prime is 20212000121. The reversal of 20212000120 is 2100021202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20212000097 and 20212000106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212000121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133885 + ... + 241555.

It is an arithmetic number, because the mean of its divisors is an integer number (538427295).

Almost surely, 220212000120 is an apocalyptic number.

20212000120 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 20212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25844510160).

20212000120 is an abundant number, since it is smaller than the sum of its proper divisors (31477020200).

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

20212000120 is a wasteful number, since it uses less digits than its factorization.

20212000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107733 (or 107710 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20212000120 its reverse (2100021202), we get a palindrome (22312021322).

The spelling of 20212000120 in words is "twenty billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 361 380 494 520 722 760 988 1235 1444 1805 1976 2470 2888 3610 4693 4940 7220 9386 9880 14440 18772 23465 37544 46930 93860 107671 187720 215342 430684 538355 861368 1076710 1399723 2045749 2153420 2799446 4091498 4306840 5598892 6998615 8182996 10228745 11197784 13997230 16365992 20457490 26594737 27994460 38869231 40914980 53189474 55988920 77738462 81829960 106378948 132973685 155476924 194346155 212757896 265947370 310953848 388692310 505300003 531894740 777384620 1010600006 1063789480 1554769240 2021200012 2526500015 4042400024 5053000030 10106000060 20212000120