Search a number
-
+
1331000131122 = 232474013923407
BaseRepresentation
bin10011010111100101110…
…010100011111000110010
311201020112200120021120200
4103113211302203320302
5133301342013143442
62455241504020030
7165106265305404
oct23274562437062
94636480507520
101331000131122
11473523969572
12195b59301616
13986887442ac
14485c6776b74
152495075934c
hex135e5ca3e32

1331000131122 has 48 divisors (see below), whose sum is σ = 2952537149952. Its totient is φ = 433144022400.

The previous prime is 1331000131079. The next prime is 1331000131159. The reversal of 1331000131122 is 2211310001331.

1331000131122 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 0 + 1 + 311 + 22 = 666.

It is a super-2 number, since 2×13310001311222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331000131095 and 1331000131104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1622458 + ... + 2300949.

It is an arithmetic number, because the mean of its divisors is an integer number (61511190624).

Almost surely, 21331000131122 is an apocalyptic number.

1331000131122 is an abundant number, since it is smaller than the sum of its proper divisors (1621537018830).

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

1331000131122 is a wasteful number, since it uses less digits than its factorization.

1331000131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923863 (or 3923860 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1331000131122 its reverse (2211310001331), we get a palindrome (3542310132453).

The spelling of 1331000131122 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 401 423 802 846 1203 2406 3609 7218 18847 37694 56541 113082 169623 339246 3923407 7846814 11770221 23540442 35310663 70621326 184400129 368800258 553200387 1106400774 1573286207 1659601161 3146572414 3319202322 4719858621 9439717242 14159575863 28319151726 73944451729 147888903458 221833355187 443666710374 665500065561 1331000131122