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2010101312 = 2689359983
BaseRepresentation
bin111011111001111…
…1011011001000000
312012002100201121202
41313303323121000
513104041220222
6531243240332
7100545402452
oct16763733100
95162321552
102010101312
1194171695a
124812190a8
132605a307b
14150d682d2
15bb70a892
hex77cfb640

2010101312 has 56 divisors (see below), whose sum is σ = 4048963200. Its totient is φ = 989981696.

The previous prime is 2010101309. The next prime is 2010101329. The reversal of 2010101312 is 2131010102.

It is a junction number, because it is equal to n+sod(n) for n = 2010101293 and 2010101302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2044373 + ... + 2045355.

Almost surely, 22010101312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024481600).

2010101312 is an abundant number, since it is smaller than the sum of its proper divisors (2038861888).

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

2010101312 is an equidigital number, since it uses as much as digits as its factorization.

2010101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2010101312 is about 44834.1534100957. The cubic root of 2010101312 is about 1262.0386314309.

Adding to 2010101312 its reverse (2131010102), we get a palindrome (4141111414).

The spelling of 2010101312 in words is "two billion, ten million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 89 178 356 359 712 718 983 1424 1436 1966 2848 2872 3932 5696 5744 7864 11488 15728 22976 31456 31951 62912 63902 87487 127804 174974 255608 349948 352897 511216 699896 705794 1022432 1399792 1411588 2044864 2799584 2823176 5599168 5646352 11292704 22585408 31407833 62815666 125631332 251262664 502525328 1005050656 2010101312