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1430011002 = 237237472797
BaseRepresentation
bin101010100111100…
…0011110001111010
310200122211002022110
41111033003301322
510412040323002
6353522033150
750302615200
oct12517036172
93618732273
101430011002
11674227482
1233aaa87b6
1319a358774
14d7cc5070
1585821e6c
hex553c3c7a

1430011002 has 96 divisors (see below), whose sum is σ = 3490829568. Its totient is φ = 388934784.

The previous prime is 1430010979. The next prime is 1430011013. The reversal of 1430011002 is 2001100341.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509868 + ... + 512664.

It is an arithmetic number, because the mean of its divisors is an integer number (36362808).

Almost surely, 21430011002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430011002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745414784).

1430011002 is an abundant number, since it is smaller than the sum of its proper divisors (2060818566).

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

1430011002 is a wasteful number, since it uses less digits than its factorization.

1430011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1430011002 is about 37815.4862721610. The cubic root of 1430011002 is about 1126.6260606298.

Adding to 1430011002 its reverse (2001100341), we get a palindrome (3431111343).

The spelling of 1430011002 in words is "one billion, four hundred thirty million, eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 37 42 47 49 74 94 98 111 141 147 222 259 282 294 329 518 658 777 987 1554 1739 1813 1974 2303 2797 3478 3626 4606 5217 5439 5594 6909 8391 10434 10878 12173 13818 16782 19579 24346 36519 39158 58737 73038 85211 103489 117474 131459 137053 170422 206978 255633 262918 274106 310467 394377 411159 511266 620934 724423 788754 822318 920213 1448846 1840426 2173269 2760639 4346538 4863983 5070961 5521278 6441491 9727966 10141922 12882982 14591949 15212883 19324473 29183898 30425766 34047881 38648946 68095762 102143643 204287286 238335167 476670334 715005501 1430011002