Search a number
-
+
2102530101 = 371947191587
BaseRepresentation
bin111110101010010…
…0001000000110101
312102112021121002020
41331110201000311
513301221430401
6544344303353
7103050132240
oct17524410065
95375247066
102102530101
11989906a91
124a8171b59
13276795669
1415d348257
15c48b6d36
hex7d521035

2102530101 has 64 divisors (see below), whose sum is σ = 3468165120. Its totient is φ = 1106274240.

The previous prime is 2102530099. The next prime is 2102530121. The reversal of 2102530101 is 1010352012.

It is not a de Polignac number, because 2102530101 - 21 = 2102530099 is a prime.

It is a super-2 number, since 2×21025301012 = 8841265651222140402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102530121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581530 + ... + 3582116.

It is an arithmetic number, because the mean of its divisors is an integer number (54190080).

Almost surely, 22102530101 is an apocalyptic number.

2102530101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2102530101 is a deficient number, since it is larger than the sum of its proper divisors (1365635019).

2102530101 is a wasteful number, since it uses less digits than its factorization.

2102530101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2102530101 is about 45853.3543047834. The cubic root of 2102530101 is about 1281.0932434484.

Adding to 2102530101 its reverse (1010352012), we get a palindrome (3112882113).

The spelling of 2102530101 in words is "two billion, one hundred two million, five hundred thirty thousand, one hundred one".

Divisors: 1 3 7 19 21 47 57 133 141 191 329 399 573 587 893 987 1337 1761 2679 3629 4011 4109 6251 8977 10887 11153 12327 18753 25403 26931 27589 33459 62839 76209 78071 82767 112117 170563 188517 193123 234213 336351 511689 524191 579369 784819 1193941 1572573 2130223 2354457 3581823 3669337 5269499 6390669 11008011 14911561 15808497 36886493 44734683 100120481 110659479 300361443 700843367 2102530101