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10120323120 = 2435139303367
BaseRepresentation
bin10010110110011011…
…11110000000110000
3222010022011200102020
421123031332000300
5131211300314440
64352121351440
7505535220135
oct113315760060
928108150366
1010120323120
114323727606
121b65338580
13c538c849b
146c012458c
153e37293d0
hex25b37e030

10120323120 has 80 divisors (see below), whose sum is σ = 31598810880. Its totient is φ = 2679328512.

The previous prime is 10120323107. The next prime is 10120323151. The reversal of 10120323120 is 2132302101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120323120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118324 + ... + 185043.

It is an arithmetic number, because the mean of its divisors is an integer number (394985136).

Almost surely, 210120323120 is an apocalyptic number.

10120323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120323120 is an abundant number, since it is smaller than the sum of its proper divisors (21478487760).

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

10120323120 is a wasteful number, since it uses less digits than its factorization.

10120323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303522 (or 303516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10120323120 its reverse (2132302101), we get a palindrome (12252625221).

The spelling of 10120323120 in words is "ten billion, one hundred twenty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 303367 606734 910101 1213468 1516835 1820202 2426936 3033670 3640404 4550505 4853872 6067340 7280808 9101010 12134680 14561616 18202020 24269360 36404040 42168013 72808080 84336026 126504039 168672052 210840065 253008078 337344104 421680130 506016156 632520195 674688208 843360260 1012032312 1265040390 1686720520 2024064624 2530080780 3373441040 5060161560 10120323120