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1334101131 = 331119223541
BaseRepresentation
bin100111110000100…
…1100010010001011
310102222100100201000
41033201030102023
510213012214011
6340214230043
745026446446
oct11741142213
93388310630
101334101131
11625079a20
12312955323
1318351786c
14c927a65d
157c1c9356
hex4f84c48b

1334101131 has 96 divisors (see below), whose sum is σ = 2378903040. Its totient is φ = 731332800.

The previous prime is 1334101099. The next prime is 1334101133. The reversal of 1334101131 is 1311014331.

It is not a de Polignac number, because 1334101131 - 25 = 1334101099 is a prime.

It is a super-2 number, since 2×13341011312 = 3559651655470958322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334101133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2465721 + ... + 2466261.

It is an arithmetic number, because the mean of its divisors is an integer number (24780240).

Almost surely, 21334101131 is an apocalyptic number.

1334101131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334101131 is a deficient number, since it is larger than the sum of its proper divisors (1044801909).

1334101131 is a wasteful number, since it uses less digits than its factorization.

1334101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

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

The square root of 1334101131 is about 36525.3491564420. The cubic root of 1334101131 is about 1100.8536434282.

Adding to 1334101131 its reverse (1311014331), we get a palindrome (2645115462).

The spelling of 1334101131 in words is "one billion, three hundred thirty-four million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 11 19 23 27 33 57 69 99 171 207 209 253 297 361 437 513 541 621 627 759 1083 1311 1623 1881 2277 3249 3933 3971 4807 4869 5643 5951 6831 8303 9747 10279 11799 11913 12443 14421 14607 17853 24909 30837 35739 37329 43263 53559 74727 91333 92511 107217 111987 113069 129789 136873 160677 195301 224181 236417 273999 277533 335961 339207 410619 585903 709251 821997 1017621 1231857 1757709 2127753 2148311 2465991 2600587 3052863 3695571 4491923 5273127 6383259 6444933 7801761 13475769 19334799 23405283 40427307 49411153 58004397 70215849 121281921 148233459 444700377 1334101131