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2124011010 = 2351121374271
BaseRepresentation
bin111111010011001…
…1101011000000010
312111000200221100110
41332212131120002
513322221323020
6550432532150
7103430536632
oct17646353002
95430627313
102124011010
1199aa48a00
124b33b1056
1327b076b64
1416213a6c2
15c670b8e0
hex7e99d602

2124011010 has 96 divisors (see below), whose sum is σ = 5645396736. Its totient is φ = 511033600.

The previous prime is 2124011003. The next prime is 2124011017. The reversal of 2124011010 is 101104212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2124011003) and next prime (2124011017).

It is a super-2 number, since 2×21240110102 = 9022845541202440200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124011017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495175 + ... + 499445.

It is an arithmetic number, because the mean of its divisors is an integer number (58806216).

Almost surely, 22124011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822698368).

2124011010 is an abundant number, since it is smaller than the sum of its proper divisors (3521385726).

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

2124011010 is a wasteful number, since it uses less digits than its factorization.

2124011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2124011010 is about 46086.9939353827. The cubic root of 2124011010 is about 1285.4413156124.

Adding to 2124011010 its reverse (101104212), we get a palindrome (2225115222).

The spelling of 2124011010 in words is "two billion, one hundred twenty-four million, eleven thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 137 165 242 274 330 363 411 605 685 726 822 1210 1370 1507 1815 2055 3014 3630 4110 4271 4521 7535 8542 9042 12813 15070 16577 21355 22605 25626 33154 42710 45210 46981 49731 64065 82885 93962 99462 128130 140943 165770 234905 248655 281886 469810 497310 516791 585127 704715 1033582 1170254 1409430 1550373 1755381 2583955 2925635 3100746 3510762 5167910 5851270 6436397 7751865 8776905 12872794 15503730 17553810 19309191 32181985 38618382 64363970 70800367 96545955 141600734 193091910 212401101 354001835 424802202 708003670 1062005505 2124011010