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1202010034304 = 27194366117389
BaseRepresentation
bin10001011111011101011…
…000011001000010000000
311020220121010221102200102
4101133131120121002000
5124143204032044204
62320110142341532
7152561633466242
oct21373530310200
94226533842612
101202010034304
11423851367672
12174b5a88a8a8
138946cb66411
144226b476092
15214013d141e
hex117dd619080

1202010034304 has 128 divisors (see below), whose sum is σ = 2583333192000. Its totient is φ = 555258654720.

The previous prime is 1202010034289. The next prime is 1202010034321. The reversal of 1202010034304 is 4034300102021.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 69116042 + ... + 69133430.

Almost surely, 21202010034304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202010034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291666596000).

1202010034304 is an abundant number, since it is smaller than the sum of its proper divisors (1381323157696).

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

1202010034304 is a wasteful number, since it uses less digits than its factorization.

1202010034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1202010034304 its reverse (4034300102021), we get a palindrome (5236310136325).

The spelling of 1202010034304 in words is "one trillion, two hundred two billion, ten million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 304 344 608 661 688 817 1216 1322 1376 1634 2432 2644 2752 3268 5288 5504 6536 10576 12559 13072 17389 21152 25118 26144 28423 34778 42304 50236 52288 56846 69556 84608 100472 104576 113692 139112 200944 227384 278224 330391 401888 454768 540037 556448 660782 747727 803776 909536 1080074 1112896 1321564 1495454 1607552 1819072 2160148 2225792 2643128 2990908 3638144 4320296 5286256 5981816 8640592 10572512 11494129 11963632 14206813 17281184 21145024 22988258 23927264 28413626 34562368 42290048 45976516 47854528 56827252 69124736 91953032 95709056 113654504 183906064 218388451 227309008 367812128 436776902 454618016 494247547 735624256 873553804 909236032 988495094 1471248512 1747107608 1818472064 1976990188 3494215216 3953980376 6988430432 7907960752 9390703393 13976860864 15815921504 18781406786 27953721728 31631843008 37562813572 63263686016 75125627144 150251254288 300502508576 601005017152 1202010034304