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2124100044 = 22331111031621
BaseRepresentation
bin111111010011011…
…0011000111001100
312111000212110111000
41332212303013030
513322232200134
6550434500300
7103431360333
oct17646630714
95430773430
102124100044
1199aaa9890
124b3434690
1327b0a8541
14162160d1a
15c6727e99
hex7e9b31cc

2124100044 has 96 divisors (see below), whose sum is σ = 6016711680. Its totient is φ = 642686400.

The previous prime is 2124100039. The next prime is 2124100049. The reversal of 2124100044 is 4400014212.

2124100044 is a `hidden beast` number, since 212 + 410 + 0 + 0 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (2124100039) and next prime (2124100049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2124100049) 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, 1309554 + ... + 1311174.

It is an arithmetic number, because the mean of its divisors is an integer number (62674080).

Almost surely, 22124100044 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 2124100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008355840).

2124100044 is an abundant number, since it is smaller than the sum of its proper divisors (3892611636).

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

2124100044 is a wasteful number, since it uses less digits than its factorization.

2124100044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2124100044 is about 46087.9598593819. The cubic root of 2124100044 is about 1285.4592763453.

Adding to 2124100044 its reverse (4400014212), we get a palindrome (6524114256).

The spelling of 2124100044 in words is "two billion, one hundred twenty-four million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1103 1188 1621 2206 3242 3309 4412 4863 6484 6618 9726 9927 12133 13236 14589 17831 19452 19854 24266 29178 29781 35662 36399 39708 43767 48532 53493 58356 59562 71324 72798 87534 106986 109197 119124 145596 160479 175068 213972 218394 320958 327591 436788 481437 641916 655182 962874 1310364 1787963 1925748 3575926 5363889 7151852 10727778 16091667 19667593 21455556 32183334 39335186 48275001 59002779 64366668 78670372 96550002 118005558 177008337 193100004 236011116 354016674 531025011 708033348 1062050022 2124100044