Search a number
-
+
1131020102133 = 322910149187383
BaseRepresentation
bin10000011101010110000…
…011010010100111110101
311000010100201212020011100
4100131112003102213311
5122012312121232013
62223330010000313
7144466506150045
oct20352603224765
94003321766140
101131020102133
113a67323a8939
12163248416099
13828685c82ac
143ca551b3725
151e648e2c473
hex107560d29f5

1131020102133 has 48 divisors (see below), whose sum is σ = 1710258675840. Its totient is φ = 719328624000.

The previous prime is 1131020102117. The next prime is 1131020102167. The reversal of 1131020102133 is 3312010201311.

It is not a de Polignac number, because 1131020102133 - 24 = 1131020102117 is a prime.

It is a super-2 number, since 2×11310201021332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131020102533) 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, 12899560 + ... + 12986942.

It is an arithmetic number, because the mean of its divisors is an integer number (35630389080).

Almost surely, 21131020102133 is an apocalyptic number.

It is an amenable number.

1131020102133 is a deficient number, since it is larger than the sum of its proper divisors (579238573707).

1131020102133 is a wasteful number, since it uses less digits than its factorization.

1131020102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88010 (or 88007 counting only the distinct ones).

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

Adding to 1131020102133 its reverse (3312010201311), we get a palindrome (4443030303444).

The spelling of 1131020102133 in words is "one trillion, one hundred thirty-one billion, twenty million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 29 87 101 261 303 491 909 1473 2929 4419 8787 14239 26361 42717 49591 87383 128151 148773 262149 446319 786447 1438139 2534107 4314417 7602321 8825683 12943251 22806963 26477049 42905053 79431147 128715159 255944807 386145477 767834421 1244246537 2303503263 3732739611 4333410353 11198218833 13000231059 39000693177 125668900237 377006700711 1131020102133