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10001203120 = 245191654529
BaseRepresentation
bin10010101000001111…
…00011111110110000
3221211000000202111101
421110013203332300
5130440301444440
64332224254144
7502560552406
oct112407437660
927730022441
1010001203120
114272466a27
121b31471354
13c3501bc8c
146ac397476
153d804969a
hex2541e3fb0

10001203120 has 40 divisors (see below), whose sum is σ = 23374575360. Its totient is φ = 3979530240.

The previous prime is 10001203111. The next prime is 10001203123. The reversal of 10001203120 is 2130210001.

10001203120 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 Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10001203097 and 10001203106.

It is not an unprimeable number, because it can be changed into a prime (10001203123) by changing a digit.

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, 311985 + ... + 342544.

It is an arithmetic number, because the mean of its divisors is an integer number (584364384).

Almost surely, 210001203120 is an apocalyptic number.

10001203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001203120 is an abundant number, since it is smaller than the sum of its proper divisors (13373372240).

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

10001203120 is a wasteful number, since it uses less digits than its factorization.

10001203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654733 (or 654727 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10001203120 its reverse (2130210001), we get a palindrome (12131413121).

The spelling of 10001203120 in words is "ten billion, one million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 654529 1309058 2618116 3272645 5236232 6545290 10472464 13090580 26181160 52362320 125015039 250030078 500060156 625075195 1000120312 1250150390 2000240624 2500300780 5000601560 10001203120