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5105251320 = 2335133319887
BaseRepresentation
bin1001100000100101…
…11111001111111000
3111011210102122020020
410300102333033320
540423421020240
62202331130440
7240340630431
oct46022771770
914153378206
105105251320
11218a865974
12ba58a3a20
136348c0690
1436605c488
151ed2e70d0
hex1304bf3f8

5105251320 has 128 divisors (see below), whose sum is σ = 16545392640. Its totient is φ = 1252753920.

The previous prime is 5105251309. The next prime is 5105251381. The reversal of 5105251320 is 231525015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511417 + ... + 521303.

It is an arithmetic number, because the mean of its divisors is an integer number (129260880).

Almost surely, 25105251320 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 5105251320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272696320).

5105251320 is an abundant number, since it is smaller than the sum of its proper divisors (11440141320).

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

5105251320 is a wasteful number, since it uses less digits than its factorization.

5105251320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5105251320 is about 71451.0414199821. The cubic root of 5105251320 is about 1721.8912089431.

Adding to 5105251320 its reverse (231525015), we get a palindrome (5336776335).

The spelling of 5105251320 in words is "five billion, one hundred five million, two hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 331 390 520 662 780 993 1324 1560 1655 1986 2648 3310 3972 4303 4965 6620 7944 8606 9887 9930 12909 13240 17212 19774 19860 21515 25818 29661 34424 39548 39720 43030 49435 51636 59322 64545 79096 86060 98870 103272 118644 128531 129090 148305 172120 197740 237288 257062 258180 296610 385593 395480 514124 516360 593220 642655 771186 1028248 1186440 1285310 1542372 1927965 2570620 3084744 3272597 3855930 5141240 6545194 7711860 9817791 13090388 15423720 16362985 19635582 26180776 32725970 39271164 42543761 49088955 65451940 78542328 85087522 98177910 127631283 130903880 170175044 196355820 212718805 255262566 340350088 392711640 425437610 510525132 638156415 850875220 1021050264 1276312830 1701750440 2552625660 5105251320