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10720067100 = 2235258576101
BaseRepresentation
bin10011111101111011…
…10011111000011100
31000200002200211111020
421332331303320130
5133423314121400
64531424124140
7526440031641
oct117675637034
930602624436
1010720067100
114601220096
1220b2166650
13101ac34692
14739a41dc8
1542b1e62a0
hex27ef73e1c

10720067100 has 72 divisors (see below), whose sum is σ = 31027107888. Its totient is φ = 2857728000.

The previous prime is 10720067089. The next prime is 10720067147. The reversal of 10720067100 is 176002701.

10720067100 is a nontrivial binomial coefficient, being equal to C(146425, 2).

It is a super-2 number, since 2×107200671002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754050 + ... + 1760150.

It is an arithmetic number, because the mean of its divisors is an integer number (430932054).

Almost surely, 210720067100 is an apocalyptic number.

10720067100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10720067100 is the 146424-th triangular number.

It is an amenable number.

10720067100 is an abundant number, since it is smaller than the sum of its proper divisors (20307040788).

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

10720067100 is a wasteful number, since it uses less digits than its factorization.

10720067100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11975 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

Adding to 10720067100 its reverse (176002701), we get a palindrome (10896069801).

The spelling of 10720067100 in words is "ten billion, seven hundred twenty million, sixty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 5857 6101 11714 12202 17571 18303 23428 24404 29285 30505 35142 36606 58570 61010 70284 73212 87855 91515 117140 122020 146425 152525 175710 183030 292850 305050 351420 366060 439275 457575 585700 610100 878550 915150 1757100 1830300 35733557 71467114 107200671 142934228 178667785 214401342 357335570 428802684 536003355 714671140 893338925 1072006710 1786677850 2144013420 2680016775 3573355700 5360033550 10720067100