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2133242104 = 237374492293
BaseRepresentation
bin111111100100110…
…1011000011111000
312111200001221000211
41333021223003320
513332102221404
6551402440504
7103602154510
oct17711530370
95450057024
102133242104
119a5183404
124b6503134
1327cc59746
14163460840
15c7431b04
hex7f26b0f8

2133242104 has 64 divisors (see below), whose sum is σ = 4707288000. Its totient is φ = 887169024.

The previous prime is 2133242087. The next prime is 2133242123. The reversal of 2133242104 is 4012423312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929182 + ... + 931474.

It is an arithmetic number, because the mean of its divisors is an integer number (73551375).

Almost surely, 22133242104 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 2133242104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353644000).

2133242104 is an abundant number, since it is smaller than the sum of its proper divisors (2574045896).

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

2133242104 is a wasteful number, since it uses less digits than its factorization.

2133242104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2133242104 is about 46187.0339381086. The cubic root of 2133242104 is about 1287.3008290141.

Adding to 2133242104 its reverse (4012423312), we get a palindrome (6145665416).

It can be divided in two parts, 21332 and 42104, that added together give a palindrome (63436).

The spelling of 2133242104 in words is "two billion, one hundred thirty-three million, two hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 449 518 898 1036 1796 2072 2293 3143 3592 4586 6286 9172 12572 16051 16613 18344 25144 32102 33226 64204 66452 84841 116291 128408 132904 169682 232582 339364 465164 593887 678728 930328 1029557 1187774 2059114 2375548 4118228 4751096 7206899 8236456 14413798 28827596 38093609 57655192 76187218 152374436 266655263 304748872 533310526 1066621052 2133242104