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2012410020 = 2235173753323
BaseRepresentation
bin111011111110010…
…1111000010100100
312012020201000120110
41313330233002210
513110134110040
6531404533020
7100604126415
oct16774570244
95166630513
102012410020
11942a53485
12481b51170
13260c00b7a
141513a980c
15bba14980
hex77f2f0a4

2012410020 has 96 divisors (see below), whose sum is σ = 6127567488. Its totient is φ = 491415552.

The previous prime is 2012410007. The next prime is 2012410027. The reversal of 2012410020 is 200142102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2012409978 and 2012410005.

It is not an unprimeable number, because it can be changed into a prime (2012410027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11079 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (63828828).

Almost surely, 22012410020 is an apocalyptic number.

2012410020 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 2012410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063783744).

2012410020 is an abundant number, since it is smaller than the sum of its proper divisors (4115157468).

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

2012410020 is a wasteful number, since it uses less digits than its factorization.

2012410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53389 (or 53387 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012410020 is about 44859.8932232345. The cubic root of 2012410020 is about 1262.5216193403.

Adding to 2012410020 its reverse (200142102), we get a palindrome (2212552122).

The spelling of 2012410020 in words is "two billion, twelve million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 37740 53323 106646 159969 213292 266615 319938 533230 639876 799845 906491 1066460 1599690 1812982 1972951 2719473 3199380 3625964 3945902 4532455 5438946 5918853 7891804 9064910 9864755 10877892 11837706 13597365 18129820 19729510 23675412 27194730 29594265 33540167 39459020 54389460 59188530 67080334 100620501 118377060 134160668 167700835 201241002 335401670 402482004 503102505 670803340 1006205010 2012410020