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10120245216 = 253174760343
BaseRepresentation
bin10010110110011011…
…01010111111100000
3222010022000201112220
421123031222333200
5131211240321331
64352115551040
7505534444044
oct113315527740
928108021486
1010120245216
114323684024
121b652bb480
13c5389bba3
146c0104024
153e3711296
hex25b36afe0

10120245216 has 48 divisors (see below), whose sum is σ = 26581290624. Its totient is φ = 3371428224.

The previous prime is 10120245193. The next prime is 10120245307. The reversal of 10120245216 is 61254202101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137541 + ... + 197883.

It is an arithmetic number, because the mean of its divisors is an integer number (553776888).

Almost surely, 210120245216 is an apocalyptic number.

10120245216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10120245216 is an abundant number, since it is smaller than the sum of its proper divisors (16461045408).

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

10120245216 is a wasteful number, since it uses less digits than its factorization.

10120245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62103 (or 62095 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10120245216 its reverse (61254202101), we get a palindrome (71374447317).

The spelling of 10120245216 in words is "ten billion, one hundred twenty million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1747 3494 5241 6988 10482 13976 20964 27952 41928 55904 60343 83856 120686 167712 181029 241372 362058 482744 724116 965488 1448232 1930976 2896464 5792928 105419221 210838442 316257663 421676884 632515326 843353768 1265030652 1686707536 2530061304 3373415072 5060122608 10120245216