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5252122120 = 2357171958073
BaseRepresentation
bin1001110010000110…
…10000011000001000
3111120000210110002111
410321003100120020
541224020401440
62225055112104
7244103205250
oct47103203010
914500713074
105252122120
1122557600a3
121026b12634
1365916518b
1437b770960
1520b1594ea
hex1390d0608

5252122120 has 128 divisors (see below), whose sum is σ = 15052780800. Its totient is φ = 1605574656.

The previous prime is 5252122097. The next prime is 5252122123. The reversal of 5252122120 is 212212525.

It is a super-3 number, since 3×52521221203 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5252122091 and 5252122100.

It is not an unprimeable number, because it can be changed into a prime (5252122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61404 + ... + 119476.

It is an arithmetic number, because the mean of its divisors is an integer number (117599850).

Almost surely, 25252122120 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 5252122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526390400).

5252122120 is an abundant number, since it is smaller than the sum of its proper divisors (9800658680).

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

5252122120 is a wasteful number, since it uses less digits than its factorization.

5252122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58127 (or 58123 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5252122120 is about 72471.5262706672. The cubic root of 5252122120 is about 1738.2474669508.

Adding to 5252122120 its reverse (212212525), we get a palindrome (5464334645).

The spelling of 5252122120 in words is "five billion, two hundred fifty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 19 20 28 34 35 38 40 56 68 70 76 85 95 119 133 136 140 152 170 190 238 266 280 323 340 380 476 532 595 646 665 680 760 952 1064 1190 1292 1330 1615 2261 2380 2584 2660 3230 4522 4760 5320 6460 9044 11305 12920 18088 22610 45220 58073 90440 116146 232292 290365 406511 464584 580730 813022 987241 1103387 1161460 1626044 1974482 2032555 2206774 2322920 3252088 3948964 4065110 4413548 4936205 5516935 6910687 7723709 7897928 8130220 8827096 9872410 11033870 13821374 15447418 16260440 18757579 19744820 22067740 27642748 30894836 34553435 37515158 38618545 39489640 44135480 55285496 61789672 69106870 75030316 77237090 93787895 131303053 138213740 150060632 154474180 187575790 262606106 276427480 308948360 375151580 525212212 656515265 750303160 1050424424 1313030530 2626061060 5252122120