Search a number
-
+
100252555511225 = 5213675329986381
BaseRepresentation
bin10110110010110111011101…
…111101011000010110111001
3111010222001100222001210202212
4112302313131331120112321
5101120014213202324400
6553115215503504505
730055002532441115
oct2662673575302671
9433861328053685
10100252555511225
1129a41963009877
12b2b1749bb8135
1343c2a1079c050
141aa836cba4745
15b8cbebb2c335
hex5b2dddf585b9

100252555511225 has 48 divisors (see below), whose sum is σ = 135877987627200. Its totient is φ = 72925478841600.

The previous prime is 100252555511183. The next prime is 100252555511239. The reversal of 100252555511225 is 522115555252001.

It is not a de Polignac number, because 100252555511225 - 220 = 100252554462649 is a prime.

It is a super-2 number, since 2×1002525555112252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1160542535 + ... + 1160628915.

It is an arithmetic number, because the mean of its divisors is an integer number (2830791408900).

Almost surely, 2100252555511225 is an apocalyptic number.

It is an amenable number.

100252555511225 is a deficient number, since it is larger than the sum of its proper divisors (35625432115975).

100252555511225 is a wasteful number, since it uses less digits than its factorization.

100252555511225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139770 (or 139765 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 41.

The spelling of 100252555511225 in words is "one hundred trillion, two hundred fifty-two billion, five hundred fifty-five million, five hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 67 325 335 871 1675 4355 21775 53299 86381 266495 431905 692887 1122953 1332475 2159525 3464435 3571033 5614765 5787527 17322175 17855165 28073825 28937635 46423429 75237851 89275825 144688175 232117145 376189255 1160585725 1880946275 4604020919 23020104595 59852271947 115100522975 299261359735 308469401573 1496306798675 1542347007865 4010102220449 7711735039325 20050511102245 100252555511225