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120000002000202 = 233194192467113149
BaseRepresentation
bin11011010010001110101101…
…011111100000010101001010
3120201212212222110112122201000
4123102032231133200111022
5111212040001003001302
61103115123451435430
734163466626164512
oct3322165537402512
9521785873478630
10120000002000202
113526579580aa75
1211560979a55b76
1351c5c4a97a21c
14218c061430842
15dd171e8ed31c
hex6d23ad7e054a

120000002000202 has 128 divisors (see below), whose sum is σ = 281488233600000. Its totient is φ = 37788638602176.

The previous prime is 120000002000149. The next prime is 120000002000213. The reversal of 120000002000202 is 202000200000021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1060491924 + ... + 1060605072.

It is an arithmetic number, because the mean of its divisors is an integer number (2199126825000).

Almost surely, 2120000002000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120000002000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140744116800000).

120000002000202 is an abundant number, since it is smaller than the sum of its proper divisors (161488231599798).

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

120000002000202 is a wasteful number, since it uses less digits than its factorization.

120000002000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116065 (or 116059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 120000002000202 its reverse (202000200000021), we get a palindrome (322000202000223).

The spelling of 120000002000202 in words is "one hundred twenty trillion, two million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 419 513 838 1026 1257 2467 2514 3771 4934 7401 7542 7961 11313 14802 15922 22203 22626 23883 44406 46873 47766 66609 71649 93746 113149 133218 140619 143298 214947 226298 281238 339447 421857 429894 678894 843714 1018341 1033673 1265571 2036682 2067346 2149831 2531142 3055023 3101019 4299662 6110046 6202038 6449493 9303057 12898986 18606114 19348479 19639787 27909171 38696958 39279574 47409431 55818342 58045437 58919361 94818862 116090874 117838722 142228293 176758083 279138583 284456586 353516166 426684879 530274249 558277166 837415749 853369758 900779189 1060548498 1280054637 1674831498 1801558378 2512247247 2560109274 2702337567 5024494494 5303633077 5404675134 7536741741 8107012701 10607266154 15073483482 15910899231 16214025402 24321038103 31821798462 47732697693 48642076206 95465395386 116959066277 143198093079 233918132554 286396186158 350877198831 701754397662 1052631596493 2105263192986 2222222259263 3157894789479 4444444518526 6315789578958 6666666777789 13333333555578 20000000333367 40000000666734 60000001000101 120000002000202