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1119141135 = 325721926713
BaseRepresentation
bin100001010110100…
…1011110100001111
32212222212021000200
41002231023310033
54243000004020
6303015024543
736506354100
oct10255136417
92788767020
101119141135
115247a9332
1227296b153
1314ab231b8
14a88c23a7
15683b7590
hex42b4bd0f

1119141135 has 72 divisors (see below), whose sum is σ = 2375408880. Its totient is φ = 484662528.

The previous prime is 1119141119. The next prime is 1119141143. The reversal of 1119141135 is 5311419111.

It is not a de Polignac number, because 1119141135 - 24 = 1119141119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1119141099 and 1119141108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28539 + ... + 55251.

It is an arithmetic number, because the mean of its divisors is an integer number (32991790).

Almost surely, 21119141135 is an apocalyptic number.

1119141135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1119141135 is an abundant number, since it is smaller than the sum of its proper divisors (1256267745).

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

1119141135 is a wasteful number, since it uses less digits than its factorization.

1119141135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26757 (or 26747 counting only the distinct ones).

The product of its digits is 540, while the sum is 27.

The square root of 1119141135 is about 33453.5668501880. The cubic root of 1119141135 is about 1038.2332970438.

It can be divided in two parts, 11191 and 41135, that added together give a triangular number (52326 = T323).

The spelling of 1119141135 in words is "one billion, one hundred nineteen million, one hundred forty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 1197 1995 2205 2793 4655 5985 8379 13965 26713 41895 80139 133565 186991 240417 400695 507547 560973 934955 1202085 1308937 1522641 1682919 2537735 2804865 3552829 3926811 4567923 6544685 7613205 8414595 10658487 11780433 17764145 19634055 22839615 24869803 31975461 53292435 58902165 74609409 124349015 159877305 223828227 373047045 1119141135