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1122413330304 = 27327219884023
BaseRepresentation
bin10000010101010101000…
…011000011111110000000
310222022010220200220210100
4100111111003003332000
5121342200303032204
62215343553002400
7144043306614600
oct20252503037600
93868126626710
101122413330304
113a3016077872
12161645b53400
1381ac64581b6
143c47a0bcc00
151e2e3527a39
hex105550c3f80

1122413330304 has 144 divisors (see below), whose sum is σ = 3757185754920. Its totient is φ = 320689506816.

The previous prime is 1122413330293. The next prime is 1122413330323. The reversal of 1122413330304 is 4030333142211.

It is a happy number.

1122413330304 is a `hidden beast` number, since 1 + 1 + 2 + 24 + 1 + 3 + 330 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9885564 + ... + 9998459.

Almost surely, 21122413330304 is an apocalyptic number.

1122413330304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1122413330304 is an abundant number, since it is smaller than the sum of its proper divisors (2634772424616).

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

1122413330304 is a wasteful number, since it uses less digits than its factorization.

1122413330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19884057 (or 19884035 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1122413330304 its reverse (4030333142211), we get a palindrome (5152746472515).

The spelling of 1122413330304 in words is "one trillion, one hundred twenty-two billion, four hundred thirteen million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 19884023 39768046 59652069 79536092 119304138 139188161 159072184 178956207 238608276 278376322 318144368 357912414 417564483 477216552 556752644 636288736 715824828 835128966 954433104 974317127 1113505288 1252693449 1272577472 1431649656 1670257932 1908866208 1948634254 2227010576 2505386898 2545154944 2863299312 2922951381 3340515864 3817732416 3897268508 4454021152 5010773796 5726598624 5845902762 6681031728 7635464832 7794537016 8768854143 8908042304 10021547592 11453197248 11691805524 13362063456 15589074032 17537708286 17816084608 20043095184 22906394496 23383611048 26724126912 31178148064 35075416572 40086190368 46767222096 53448253824 62356296128 70150833144 80172380736 93534444192 124712592256 140301666288 160344761472 187068888384 280603332576 374137776768 561206665152 1122413330304