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5101244320 = 255137409569
BaseRepresentation
bin1001100000000111…
…01100111110100000
3111011111220001122211
410300003230332200
540421404304240
62202105211504
7240261601264
oct46003547640
914144801584
105101244320
1121885793a7
12ba4490b94
13633b19883
143656d80a4
151ecca4bea
hex1300ecfa0

5101244320 has 96 divisors (see below), whose sum is σ = 12190726800. Its totient is φ = 2017099776.

The previous prime is 5101244303. The next prime is 5101244347. The reversal of 5101244320 is 234421015.

It can be written as a sum of positive squares in 8 ways, for example, as 2719413904 + 2381830416 = 52148^2 + 48804^2 .

It is a super-2 number, since 2×51012443202 = 52045387224664524800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5101244291 and 5101244300.

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, 8964996 + ... + 8965564.

Almost surely, 25101244320 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 5101244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095363400).

5101244320 is an abundant number, since it is smaller than the sum of its proper divisors (7089482480).

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

5101244320 is a wasteful number, since it uses less digits than its factorization.

5101244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1122 counting only the distinct ones).

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

The square root of 5101244320 is about 71422.9957366673. The cubic root of 5101244320 is about 1721.4405994596.

Adding to 5101244320 its reverse (234421015), we get a palindrome (5335665335).

The spelling of 5101244320 in words is "five billion, one hundred one million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 409 548 569 685 818 1096 1138 1370 1636 2045 2192 2276 2740 2845 3272 4090 4384 4552 5480 5690 6544 8180 9104 10960 11380 13088 16360 18208 21920 22760 32720 45520 56033 65440 77953 91040 112066 155906 224132 232721 280165 311812 389765 448264 465442 560330 623624 779530 896528 930884 1120660 1163605 1247248 1559060 1793056 1861768 2241320 2327210 2494496 3118120 3723536 4482640 4654420 6236240 7447072 8965280 9308840 12472480 18617680 31882777 37235360 63765554 127531108 159413885 255062216 318827770 510124432 637655540 1020248864 1275311080 2550622160 5101244320