Search a number
-
+
10123321120 = 255115751887
BaseRepresentation
bin10010110110110010…
…11001111100100000
3222010111210222220021
421123121121330200
5131213032233440
64352305523224
7505602544513
oct113331317440
928114728807
1010123321120
114325394aa0
121b66343514
13c54407c53
146c06a4d7a
153e3b1c84a
hex25b659f20

10123321120 has 48 divisors (see below), whose sum is σ = 26090563968. Its totient is φ = 3681207040.

The previous prime is 10123321099. The next prime is 10123321121. The reversal of 10123321120 is 2112332101.

10123321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10123321094 and 10123321103.

It is not an unprimeable number, because it can be changed into a prime (10123321121) 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, 2874184 + ... + 2877703.

It is an arithmetic number, because the mean of its divisors is an integer number (543553416).

Almost surely, 210123321120 is an apocalyptic number.

10123321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123321120 is an abundant number, since it is smaller than the sum of its proper divisors (15967242848).

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

10123321120 is a wasteful number, since it uses less digits than its factorization.

10123321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751913 (or 5751905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10123321120 its reverse (2112332101), we get a palindrome (12235653221).

The spelling of 10123321120 in words is "ten billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5751887 11503774 23007548 28759435 46015096 57518870 63270757 92030192 115037740 126541514 184060384 230075480 253083028 316353785 460150960 506166056 632707570 920301920 1012332112 1265415140 2024664224 2530830280 5061660560 10123321120