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2141812036 = 2271322631721
BaseRepresentation
bin111111110101001…
…0111010101000100
312112021012022202201
41333222113111010
513341300441121
6552310244244
7104035046650
oct17752272504
95467168681
102141812036
119a9aa70a1
124b9356684
1328196a400
14164651a60
15c8075e91
hex7fa97544

2141812036 has 72 divisors (see below), whose sum is σ = 4658822784. Its totient is φ = 843598080.

The previous prime is 2141812021. The next prime is 2141812051. The reversal of 2141812036 is 6302181412.

It is an interprime number because it is at equal distance from previous prime (2141812021) and next prime (2141812051).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2141811995 and 2141812013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243656 + ... + 1245376.

It is an arithmetic number, because the mean of its divisors is an integer number (64705872).

Almost surely, 22141812036 is an apocalyptic number.

2141812036 is a gapful number since it is divisible by the number (26) 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 2141812036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329411392).

2141812036 is an abundant number, since it is smaller than the sum of its proper divisors (2517010748).

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

2141812036 is a wasteful number, since it uses less digits than its factorization.

2141812036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2141812036 is about 46279.7151676628. The cubic root of 2141812036 is about 1289.0223620539.

Adding to 2141812036 its reverse (6302181412), we get a palindrome (8443993448).

The spelling of 2141812036 in words is "two billion, one hundred forty-one million, eight hundred twelve thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 263 338 364 526 676 1052 1183 1721 1841 2366 3419 3442 3682 4732 6838 6884 7364 12047 13676 22373 23933 24094 44447 44746 47866 48188 88894 89492 95732 156611 177788 290849 311129 313222 452623 581698 622258 626444 905246 1163396 1244516 1810492 2035943 3168361 4071886 5884099 6336722 8143772 11768198 12673444 23536396 41188693 76493287 82377386 152986574 164754772 305973148 535453009 1070906018 2141812036