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2052142312 = 2311292772903
BaseRepresentation
bin111101001010001…
…0011010011101000
312022000110122000211
41322110103103220
513200322023222
6535344310504
7101565631123
oct17224232350
95260418024
102052142312
11963420990
12493312434
132692028bc
1415678d3ba
15c0262277
hex7a5134e8

2052142312 has 64 divisors (see below), whose sum is σ = 4359484800. Its totient is φ = 897066240.

The previous prime is 2052142273. The next prime is 2052142321. The reversal of 2052142312 is 2132412502.

It is a happy number.

It is a super-2 number, since 2×20521423122 = 8422576137401410688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 705453 + ... + 708355.

It is an arithmetic number, because the mean of its divisors is an integer number (68116950).

Almost surely, 22052142312 is an apocalyptic number.

2052142312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179742400).

2052142312 is an abundant number, since it is smaller than the sum of its proper divisors (2307342488).

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

2052142312 is a wasteful number, since it uses less digits than its factorization.

2052142312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2052142312 is about 45300.5773914638. The cubic root of 2052142312 is about 1270.7764512312.

Adding to 2052142312 its reverse (2132412502), we get a palindrome (4184554814).

The spelling of 2052142312 in words is "two billion, fifty-two million, one hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 277 319 554 638 1108 1276 2216 2552 2903 3047 5806 6094 8033 11612 12188 16066 23224 24376 31933 32132 63866 64264 84187 88363 127732 168374 176726 255464 336748 353452 673496 706904 804131 926057 1608262 1852114 3216524 3704228 6433048 7408456 8845441 17690882 23319799 35381764 46639598 70763528 93279196 186558392 256517789 513035578 1026071156 2052142312