Search a number
-
+
210100105016505 = 325113023424333091
BaseRepresentation
bin101111110001010110111110…
…001000000111010010111001
31000112220101002120010001012200
4233301112332020013102321
5210014240003341012010
62022502353352300413
762153142314405154
oct5761267610072271
91015811076101180
10210100105016505
1160a42a54a8a970
121b6929840a1709
13903047c905a82
1439c4c83b0cc9b
1519452bc562cc0
hexbf15be2074b9

210100105016505 has 96 divisors (see below), whose sum is σ = 397517293135872. Its totient is φ = 101805943478400.

The previous prime is 210100105016491. The next prime is 210100105016533. The reversal of 210100105016505 is 505610501001012.

210100105016505 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 0 + 0 + 1 + 0 + 5 + 0 + 1 + 650 + 5 = 666.

It is not a de Polignac number, because 210100105016505 - 245 = 174915732927673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6349145010 + ... + 6349178100.

It is an arithmetic number, because the mean of its divisors is an integer number (4140805136832).

Almost surely, 2210100105016505 is an apocalyptic number.

It is an amenable number.

210100105016505 is a deficient number, since it is larger than the sum of its proper divisors (187417188119367).

210100105016505 is a wasteful number, since it uses less digits than its factorization.

210100105016505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40379 (or 40376 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 210100105016505 its reverse (505610501001012), we get a palindrome (715710606017517).

The spelling of 210100105016505 in words is "two hundred ten trillion, one hundred billion, one hundred five million, sixteen thousand, five hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 3023 4243 9069 12729 15115 21215 27207 33091 33253 38187 45345 46673 63645 99273 99759 136035 140019 165455 166265 190935 233365 297819 299277 364001 420057 496365 498795 700095 1092003 1489095 1496385 1820005 2100285 3276009 5460015 12826589 16380045 38479767 64132945 100034093 115439301 140405113 141092479 192398835 300102279 421215339 423277437 500170465 577196505 702025565 705462395 900306837 1100375023 1263646017 1269832311 1500511395 1544456243 2106076695 2116387185 3301125069 4501534185 4633368729 5501875115 6318230085 6349161555 7722281215 9903375207 13900106187 16505625345 23166843645 49516876035 69500530935 424444656599 1273333969797 2122223282995 3820001909391 4668891222589 6366669848985 14006673667767 19100009546955 23344456112945 42020021003301 70033368338835 210100105016505