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10143510320 = 245127998377
BaseRepresentation
bin10010111001001100…
…11010111100110000
3222011220210201021102
421130212122330300
5131233214312240
64354310343532
7506236262246
oct113446327460
928156721242
1010143510320
114335824489
121b7105aba8
13c58656518
146c323c796
153e57a9815
hex25c99af30

10143510320 has 40 divisors (see below), whose sum is σ = 23769383424. Its totient is φ = 4025452032.

The previous prime is 10143510283. The next prime is 10143510371. The reversal of 10143510320 is 2301534101.

10143510320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101435103202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10143510292 and 10143510301.

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 7 ways as a sum of consecutive naturals, for example, 489029 + ... + 509348.

Almost surely, 210143510320 is an apocalyptic number.

10143510320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143510320 is an abundant number, since it is smaller than the sum of its proper divisors (13625873104).

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

10143510320 is a wasteful number, since it uses less digits than its factorization.

10143510320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998517 (or 998511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 10143510320 in words is "ten billion, one hundred forty-three million, five hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 998377 1996754 3993508 4991885 7987016 9983770 15974032 19967540 39935080 79870160 126793879 253587758 507175516 633969395 1014351032 1267938790 2028702064 2535877580 5071755160 10143510320