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10200033120 = 253529732761
BaseRepresentation
bin10010111111111100…
…00010011101100000
3222022212011100222110
421133332002131200
5131342202024440
64404050035320
7510523564614
oct113776023540
928285140873
1010200033120
11436471a942
121b87b78b40
13c67286874
146ca953344
153ea722080
hex25ff82760

10200033120 has 96 divisors (see below), whose sum is σ = 33238084320. Its totient is φ = 2626211840.

The previous prime is 10200033119. The next prime is 10200033143. The reversal of 10200033120 is 2133000201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200033096 and 10200033105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352461 + ... + 380300.

It is an arithmetic number, because the mean of its divisors is an integer number (346230045).

Almost surely, 210200033120 is an apocalyptic number.

10200033120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200033120 is an abundant number, since it is smaller than the sum of its proper divisors (23038051200).

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

10200033120 is a wasteful number, since it uses less digits than its factorization.

10200033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732808 (or 732800 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10200033120 its reverse (2133000201), we get a palindrome (12333033321).

The spelling of 10200033120 in words is "ten billion, two hundred million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 13920 732761 1465522 2198283 2931044 3663805 4396566 5862088 7327610 8793132 10991415 11724176 14655220 17586264 21250069 21982830 23448352 29310440 35172528 42500138 43965660 58620880 63750207 70345056 85000276 87931320 106250345 117241760 127500414 170000552 175862640 212500690 255000828 318751035 340001104 351725280 425001380 510001656 637502070 680002208 850002760 1020003312 1275004140 1700005520 2040006624 2550008280 3400011040 5100016560 10200033120