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1312321233330 = 23251097117111351
BaseRepresentation
bin10011000110001100011…
…100001110000110110010
311122110022220220221212100
4103012030130032012302
5133000113213431310
62442512210241230
7163545354301422
oct23061434160662
94573286827770
101312321233330
11466609140158
12192405886216
139699c982653
1447733b06482
152420a99aec0
hex1318c70e1b2

1312321233330 has 96 divisors (see below), whose sum is σ = 3418363099008. Its totient is φ = 349303968000.

The previous prime is 1312321233283. The next prime is 1312321233347. The reversal of 1312321233330 is 333321232131.

1312321233330 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 321 + 2 + 3 + 3 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1312321233294 and 1312321233303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115607155 + ... + 115618505.

It is an arithmetic number, because the mean of its divisors is an integer number (35607948948).

Almost surely, 21312321233330 is an apocalyptic number.

1312321233330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1312321233330 is an abundant number, since it is smaller than the sum of its proper divisors (2106041865678).

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

1312321233330 is a wasteful number, since it uses less digits than its factorization.

1312321233330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13632 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1312321233330 its reverse (333321232131), we get a palindrome (1645642465461).

The spelling of 1312321233330 in words is "one trillion, three hundred twelve billion, three hundred twenty-one million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1097 1171 2194 2342 3291 3513 5485 5855 6582 7026 9873 10539 10970 11351 11710 16455 17565 19746 21078 22702 32910 34053 35130 49365 52695 56755 68106 98730 102159 105390 113510 170265 204318 340530 510795 1021590 1284587 2569174 3853761 6422935 7707522 11561283 12452047 12845870 13292021 19268805 23122566 24904094 26584042 37356141 38537610 39876063 57806415 62260235 66460105 74712282 79752126 112068423 115612830 119628189 124520470 132920210 186780705 199380315 224136846 239256378 373561410 398760630 560342115 598140945 1120684230 1196281890 14581347037 29162694074 43744041111 72906735185 87488082222 131232123333 145813470370 218720205555 262464246666 437440411110 656160616665 1312321233330