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1331103022332 = 2233127111314387
BaseRepresentation
bin10011010111101011111…
…011000011110011111100
311201020210212011200210020
4103113223323003303330
5133302044333203312
62455300021212140
7165111655001646
oct23275373036374
94636725150706
101331103022332
11473576a55226
12195b87861050
13986a3b5aa75
14485d62bb896
15249597d078c
hex135ebec3cfc

1331103022332 has 144 divisors (see below), whose sum is σ = 3283560758016. Its totient is φ = 419564812800.

The previous prime is 1331103022331. The next prime is 1331103022349. The reversal of 1331103022332 is 2332203011331.

It is a super-2 number, since 2×13311030223322 (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 (1331103022331) 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, 92514043 + ... + 92528429.

It is an arithmetic number, because the mean of its divisors is an integer number (22802505264).

Almost surely, 21331103022332 is an apocalyptic number.

1331103022332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331103022332 is an abundant number, since it is smaller than the sum of its proper divisors (1952457735684).

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

1331103022332 is a wasteful number, since it uses less digits than its factorization.

1331103022332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640 (or 14607 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1331103022332 its reverse (2332203011331), we get a palindrome (3663306033663).

The spelling of 1331103022332 in words is "one trillion, three hundred thirty-one billion, one hundred three million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 71 93 113 124 142 186 213 226 284 339 372 426 452 678 852 961 1356 1922 2201 2883 3503 3844 4402 5766 6603 7006 8023 8804 10509 11532 13206 14012 14387 16046 21018 24069 26412 28774 32092 42036 43161 48138 57548 68231 86322 96276 108593 136462 172644 204693 217186 248713 272924 325779 409386 434372 445997 497426 651558 746139 818772 891994 994852 1021477 1303116 1337991 1492278 1625731 1783988 2042954 2675982 2984556 3064431 3251462 4085908 4877193 5351964 6128862 6502924 7710103 9754386 12257724 13825907 15420206 19508772 23130309 27651814 30840412 31665787 41477721 46260618 50397661 55303628 63331574 82955442 92521236 94997361 100795322 115426901 126663148 151192983 165910884 189994722 201590644 230853802 302385966 346280703 379989444 461707604 604771932 692561406 981639397 1385122812 1562327491 1963278794 2944918191 3124654982 3578233931 3926557588 4686982473 5889836382 6249309964 7156467862 9373964946 10734701793 11779672764 14312935724 18747929892 21469403586 42938807172 110925251861 221850503722 332775755583 443701007444 665551511166 1331103022332