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1002120114 = 231729418263
BaseRepresentation
bin111011101110110…
…010001110110010
32120211122222100210
4323232302032302
54023020320424
6243234524550
733555610662
oct7356621662
92524588323
101002120114
11474741746
1223b736756
1312c8001a8
14971401a2
155ce9e729
hex3bbb23b2

1002120114 has 64 divisors (see below), whose sum is σ = 2249130240. Its totient is φ = 296110080.

The previous prime is 1002120109. The next prime is 1002120121. The reversal of 1002120114 is 4110212001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002120114.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117147 + ... + 125409.

It is an arithmetic number, because the mean of its divisors is an integer number (35142660).

Almost surely, 21002120114 is an apocalyptic number.

1002120114 is an abundant number, since it is smaller than the sum of its proper divisors (1247010126).

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

1002120114 is a wasteful number, since it uses less digits than its factorization.

1002120114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1002120114 is about 31656.2807986030. The cubic root of 1002120114 is about 1000.7062058226.

Adding to 1002120114 its reverse (4110212001), we get a palindrome (5112332115).

It can be divided in two parts, 10021 and 20114, that added together give a triangular number (30135 = T245).

The spelling of 1002120114 in words is "one billion, two million, one hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 17 29 34 41 51 58 82 87 102 123 174 246 493 697 986 1189 1394 1479 2091 2378 2958 3567 4182 7134 8263 16526 20213 24789 40426 49578 60639 121278 140471 239627 280942 338783 421413 479254 677566 718881 842826 1016349 1437762 2032698 4073659 5759311 8147318 9824707 11518622 12220977 17277933 19649414 24441954 29474121 34555866 58948242 167020019 334040038 501060057 1002120114