Search a number
-
+
100050505050501 = 32432413847278849
BaseRepresentation
bin10110101111111011010010…
…110100000010100110000101
3111010020201211201110220221200
4112233323102310002212011
5101103211413243104001
6552442322325133113
730034260533035365
oct2657732264024605
9433221751426850
10100050505050501
11299741a9876135
12b27a55b85a199
1343a9950718805
141a9c6826509a5
15b87823679086
hex5afed2d02985

100050505050501 has 48 divisors (see below), whose sum is σ = 148531000675200. Its totient is φ = 64861740195840.

The previous prime is 100050505050499. The next prime is 100050505050533. The reversal of 100050505050501 is 105050505050001.

100050505050501 is a `hidden beast` number, since 10 + 0 + 0 + 5 + 0 + 50 + 50 + 50 + 501 = 666.

It is not a de Polignac number, because 100050505050501 - 21 = 100050505050499 is a prime.

It is a super-2 number, since 2×1000505050505012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100050505052501) 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, 358658725 + ... + 358937573.

It is an arithmetic number, because the mean of its divisors is an integer number (3094395847400).

Almost surely, 2100050505050501 is an apocalyptic number.

It is an amenable number.

100050505050501 is a deficient number, since it is larger than the sum of its proper divisors (48480495624699).

100050505050501 is a wasteful number, since it uses less digits than its factorization.

100050505050501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282986 (or 282983 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 100050505050501 in words is "one hundred trillion, fifty billion, five hundred five million, fifty thousand, five hundred one".

Divisors: 1 3 9 43 129 241 387 723 2169 3847 10363 11541 31089 34623 93267 165421 278849 496263 836547 927127 1488789 2509641 2781381 8344143 11990507 35971521 39866461 67202609 107914563 119599383 201607827 358798149 604823481 1072732103 2889712187 3218196309 8669136561 9654588927 26007409683 46127480429 138382441287 258528436823 415147323861 775585310469 2326755931407 11116722783389 33350168350167 100050505050501