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2133002124 = 2232118960521
BaseRepresentation
bin111111100100011…
…0000011110001100
312111122121201211200
41333020300132030
513332022031444
6551353345500
7103600135041
oct17710603614
95448551750
102133002124
119a502a080
124b6408290
1327cba4446
141633db1c8
15c73d5969
hex7f23078c

2133002124 has 72 divisors (see below), whose sum is σ = 5948102160. Its totient is φ = 639091200.

The previous prime is 2133002117. The next prime is 2133002141. The reversal of 2133002124 is 4212003312.

It is a super-2 number, since 2×21330021242 = 9099396121977022752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2133002097 and 2133002106.

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, 4984 + ... + 65504.

It is an arithmetic number, because the mean of its divisors is an integer number (82612530).

Almost surely, 22133002124 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 2133002124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974051080).

2133002124 is an abundant number, since it is smaller than the sum of its proper divisors (3815100036).

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

2133002124 is a wasteful number, since it uses less digits than its factorization.

2133002124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60631 (or 60626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133002124 is about 46184.4359497872. The cubic root of 2133002124 is about 1287.2525553813.

Adding to 2133002124 its reverse (4212003312), we get a palindrome (6345005436).

The spelling of 2133002124 in words is "two billion, one hundred thirty-three million, two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 132 178 198 267 356 396 534 801 979 1068 1602 1958 2937 3204 3916 5874 8811 11748 17622 35244 60521 121042 181563 242084 363126 544689 665731 726252 1089378 1331462 1997193 2178756 2662924 3994386 5386369 5991579 7988772 10772738 11983158 16159107 21545476 23966316 32318214 48477321 59250059 64636428 96954642 118500118 177750177 193909284 237000236 355500354 533250531 711000708 1066501062 2133002124