Search a number
-
+
100125541141134 = 23731571571926819
BaseRepresentation
bin10110110001000001001011…
…010100000000101010001110
3111010111220112010010021102120
4112301001023110000222032
5101110424102013004014
6552541012201033410
730042555151216125
oct2661011324005216
9433456463107376
10100125541141134
11299a3004785683
12b291001185866
1343b3a4b31a042
141aa2160040abc
15b89765e6eba9
hex5b104b500a8e

100125541141134 has 64 divisors (see below), whose sum is σ = 204417461756160. Its totient is φ = 32687462096640.

The previous prime is 100125541141127. The next prime is 100125541141169. The reversal of 100125541141134 is 431141145521001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100125541141095 and 100125541141104.

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, 107567977 + ... + 108494795.

It is an arithmetic number, because the mean of its divisors is an integer number (3194022839940).

Almost surely, 2100125541141134 is an apocalyptic number.

100125541141134 is an abundant number, since it is smaller than the sum of its proper divisors (104291920615026).

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

100125541141134 is a wasteful number, since it uses less digits than its factorization.

100125541141134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928625.

The product of its (nonzero) digits is 9600, while the sum is 33.

Adding to 100125541141134 its reverse (431141145521001), we get a palindrome (531266686662135).

The spelling of 100125541141134 in words is "one hundred trillion, one hundred twenty-five billion, five hundred forty-one million, one hundred forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 73 146 157 219 314 438 471 942 1571 3142 4713 9426 11461 22922 34383 68766 114683 229366 246647 344049 493294 688098 739941 926819 1479882 1853638 2780457 5560914 18005231 36010462 54015693 67657787 108031386 135315574 145510583 202973361 291021166 405946722 436531749 873063498 1456032649 2912065298 4368097947 8736195894 10622272559 21244545118 31866817677 63733635354 106290383377 212580766754 228597125893 318871150131 457194251786 637742300262 685791377679 1371582755358 16687590190189 33375180380378 50062770570567 100125541141134