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2123022312 = 23344121949
BaseRepresentation
bin111111010001010…
…1011111111101000
312110221211201010000
41332202223333220
513321443203222
6550355423000
7103416251265
oct17642537750
95427751100
102123022312
1199a4330a4
124b2bb4a60
1327aabbb28
14161d6026c
15c65b39ac
hex7e8abfe8

2123022312 has 120 divisors (see below), whose sum is σ = 6098127750. Its totient is φ = 690059520.

The previous prime is 2123022277. The next prime is 2123022313. The reversal of 2123022312 is 2132203212.

It can be written as a sum of positive squares in 3 ways, for example, as 1046263716 + 1076758596 = 32346^2 + 32814^2 .

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 (2123022313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1088314 + ... + 1090262.

Almost surely, 22123022312 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 2123022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049063875).

2123022312 is an abundant number, since it is smaller than the sum of its proper divisors (3975105438).

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

2123022312 is a wasteful number, since it uses less digits than its factorization.

2123022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 1995 counting only the distinct ones).

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

The square root of 2123022312 is about 46076.2662549821. The cubic root of 2123022312 is about 1285.2418328884.

Adding to 2123022312 its reverse (2132203212), we get a palindrome (4255225524).

Subtracting 2123022312 from its reverse (2132203212), we obtain a square (9180900 = 30302).

The spelling of 2123022312 in words is "two billion, one hundred twenty-three million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 1681 1949 2214 2952 3321 3362 3898 4428 5043 5847 6642 6724 7796 8856 10086 11694 13284 13448 15129 15592 17541 20172 23388 26568 30258 35082 40344 45387 46776 52623 60516 70164 79909 90774 105246 121032 136161 140328 157869 159818 181548 210492 239727 272322 315738 319636 363096 420984 479454 544644 631476 639272 719181 958908 1089288 1262952 1438362 1917816 2157543 2876724 3276269 4315086 5753448 6472629 6552538 8630172 9828807 12945258 13105076 17260344 19657614 25890516 26210152 29486421 39315228 51781032 58972842 78630456 88459263 117945684 176918526 235891368 265377789 353837052 530755578 707674104 1061511156 2123022312