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2141145012 = 223718213061
BaseRepresentation
bin111111110011111…
…0100011110110100
312112012221102210010
41333213310132310
513341113120022
6552244100220
7104026301166
oct17747643664
95465842703
102141145012
119a9690a36
124b9094670
13281795916
1416451a936
15c7e9350c
hex7f9f47b4

2141145012 has 48 divisors (see below), whose sum is σ = 5074199424. Its totient is φ = 702576000.

The previous prime is 2141145011. The next prime is 2141145029. The reversal of 2141145012 is 2105411412.

It is a self number, because there is not a number n which added to its sum of digits gives 2141145012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141145011) 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, 697962 + ... + 701022.

It is an arithmetic number, because the mean of its divisors is an integer number (105712488).

Almost surely, 22141145012 is an apocalyptic number.

It is an amenable number.

2141145012 is an abundant number, since it is smaller than the sum of its proper divisors (2933054412).

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

2141145012 is a wasteful number, since it uses less digits than its factorization.

2141145012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3960 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 2141145012 is about 46272.5081662968. The cubic root of 2141145012 is about 1288.8885348537. Note that the first 3 decimals are identical.

Adding to 2141145012 its reverse (2105411412), we get a palindrome (4246556424).

It can be divided in two parts, 2141 and 145012, that added together give a triangular number (147153 = T542).

The spelling of 2141145012 in words is "two billion, one hundred forty-one million, one hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 821 852 1642 2463 3061 3284 4926 6122 9183 9852 12244 18366 36732 58291 116582 174873 217331 233164 349746 434662 651993 699492 869324 1303986 2513081 2607972 5026162 7539243 10052324 15078486 30156972 178428751 356857502 535286253 713715004 1070572506 2141145012