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1322313030 = 232537479829
BaseRepresentation
bin100111011010000…
…1110010101000110
310102011011110110200
41032310032111012
510202003004110
6335113431330
744524322013
oct11664162506
93364143420
101322313030
11619458395
1230aa0b546
13180c4b15c
14c788c70a
157b14b6c0
hex4ed0e546

1322313030 has 96 divisors (see below), whose sum is σ = 3542572800. Its totient is φ = 341957376.

The previous prime is 1322313019. The next prime is 1322313049. The reversal of 1322313030 is 303132231.

1322313030 is a `hidden beast` number, since 1 + 322 + 313 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1322312994 and 1322313012.

It is a congruent number.

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, 1594656 + ... + 1595484.

It is an arithmetic number, because the mean of its divisors is an integer number (36901800).

Almost surely, 21322313030 is an apocalyptic number.

1322313030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771286400).

1322313030 is an abundant number, since it is smaller than the sum of its proper divisors (2220259770).

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

1322313030 is a wasteful number, since it uses less digits than its factorization.

1322313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1322313030 is about 36363.6223443155. The cubic root of 1322313030 is about 1097.6016700384.

Adding to 1322313030 its reverse (303132231), we get a palindrome (1625445261).

The spelling of 1322313030 in words is "one billion, three hundred twenty-two million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 479 555 666 829 958 1110 1437 1658 1665 2395 2487 2874 3330 4145 4311 4790 4974 7185 7461 8290 8622 12435 14370 14922 17723 21555 24870 30673 35446 37305 43110 53169 61346 74610 88615 92019 106338 153365 159507 177230 184038 265845 276057 306730 319014 397091 460095 531690 552114 794182 797535 920190 1191273 1380285 1595070 1985455 2382546 2760570 3573819 3970910 5956365 7147638 11912730 14692367 17869095 29384734 35738190 44077101 73461835 88154202 132231303 146923670 220385505 264462606 440771010 661156515 1322313030