Search a number
-
+
1331102121102 = 232137972005957
BaseRepresentation
bin10011010111101011110…
…111100111110010001110
311201020210210110220112100
4103113223313213302032
5133302044120333402
62455255550015530
7165111644226315
oct23275367476216
94636723426470
101331102121102
1147357649a106
12195b874a75a6
13986a39037b0
14485d612527c
15249596a371c
hex135ebde7c8e

1331102121102 has 48 divisors (see below), whose sum is σ = 3145220245440. Its totient is φ = 404385448896.

The previous prime is 1331102121091. The next prime is 1331102121109. The reversal of 1331102121102 is 2011212011331.

1331102121102 is a `hidden beast` number, since 1 + 331 + 10 + 212 + 110 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331102121109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35984493 + ... + 36021464.

It is an arithmetic number, because the mean of its divisors is an integer number (65525421780).

Almost surely, 21331102121102 is an apocalyptic number.

1331102121102 is an abundant number, since it is smaller than the sum of its proper divisors (1814118124338).

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

1331102121102 is a wasteful number, since it uses less digits than its factorization.

1331102121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72006057 (or 72006054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1331102121102 its reverse (2011212011331), we get a palindrome (3342314132433).

The spelling of 1331102121102 in words is "one trillion, three hundred thirty-one billion, one hundred two million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 72005957 144011914 216017871 432035742 648053613 936077441 1296107226 1872154882 2808232323 5616464646 5688470603 8424696969 11376941206 16849393938 17065411809 34130823618 51196235427 73950117839 102392470854 147900235678 221850353517 443700707034 665551060551 1331102121102