Search a number
-
+
100024200402301 = 7172273702817177
BaseRepresentation
bin10110101111100010110010…
…111011110001010101111101
3111010011012221111122100021001
4112233202302323301111331
5101102244030300333201
6552422252221210301
730032336634154060
oct2657426273612575
9433135844570231
10100024200402301
112996403055765a
12b27543a400991
1343a731ab0a716
141a9b2a8cd68d7
15b86cd4199301
hex5af8b2ef157d

100024200402301 has 16 divisors (see below), whose sum is σ = 121570893588096. Its totient is φ = 80336321450496.

The previous prime is 100024200402277. The next prime is 100024200402341. The reversal of 100024200402301 is 103204002420001.

It is a cyclic number.

It is not a de Polignac number, because 100024200402301 - 27 = 100024200402173 is a prime.

It is a super-2 number, since 2×1000242004023012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100024200402341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1851381576 + ... + 1851435601.

It is an arithmetic number, because the mean of its divisors is an integer number (7598180849256).

Almost surely, 2100024200402301 is an apocalyptic number.

It is an amenable number.

100024200402301 is a deficient number, since it is larger than the sum of its proper divisors (21546693185795).

100024200402301 is a wasteful number, since it uses less digits than its factorization.

100024200402301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702817428.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100024200402301 its reverse (103204002420001), we get a palindrome (203228202822302).

The spelling of 100024200402301 in words is "one hundred trillion, twenty-four billion, two hundred million, four hundred two thousand, three hundred one".

Divisors: 1 7 17 119 227 1589 3859 27013 3702817177 25919720239 62947892009 440635244063 840539499179 5883776494253 14289171486043 100024200402301