Search a number
-
+
20151130350 = 23521312898017
BaseRepresentation
bin10010110001000110…
…011101100011101110
31221000100220111010010
4102301012131203232
5312232142132400
613131324354050
71312235532111
oct226106354356
957010814103
1020151130350
11860087353a
123aa46a5926
131b91ab1190
14d923c6578
157ce170450
hex4b119d8ee

20151130350 has 96 divisors (see below), whose sum is σ = 53867489760. Its totient is φ = 4955811840.

The previous prime is 20151130283. The next prime is 20151130357. The reversal of 20151130350 is 5303115102.

It is a super-2 number, since 2×201511303502 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20151130357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2509542 + ... + 2517558.

It is an arithmetic number, because the mean of its divisors is an integer number (561119685).

Almost surely, 220151130350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20151130350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933744880).

20151130350 is an abundant number, since it is smaller than the sum of its proper divisors (33716359410).

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

20151130350 is a wasteful number, since it uses less digits than its factorization.

20151130350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9334 (or 9329 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

Adding to 20151130350 its reverse (5303115102), we get a palindrome (25454245452).

The spelling of 20151130350 in words is "twenty billion, one hundred fifty-one million, one hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1289 1950 2578 3867 6445 7734 8017 12890 16034 16757 19335 24051 32225 33514 38670 40085 48102 50271 64450 80170 83785 96675 100542 104221 120255 167570 193350 200425 208442 240510 251355 312663 400850 418925 502710 521105 601275 625326 837850 1042210 1202550 1256775 1563315 2513550 2605525 3126630 5211050 7816575 10333913 15633150 20667826 31001739 51669565 62003478 103339130 134340869 155008695 258347825 268681738 310017390 403022607 516695650 671704345 775043475 806045214 1343408690 1550086950 2015113035 3358521725 4030226070 6717043450 10075565175 20151130350