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10120243120 = 2451383117241
BaseRepresentation
bin10010110110011011…
…01010011110110000
3222010022000121200021
421123031222132300
5131211240234440
64352115533224
7505534434661
oct113315523660
928108017607
1010120243120
114323682499
121b652ba214
13c5389ac50
146c0103368
153e371084a
hex25b36a7b0

10120243120 has 80 divisors (see below), whose sum is σ = 25645046112. Its totient is φ = 3691653120.

The previous prime is 10120243093. The next prime is 10120243121. The reversal of 10120243120 is 2134202101.

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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10120243094 and 10120243103.

It is not an unprimeable number, because it can be changed into a prime (10120243121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27700 + ... + 144940.

Almost surely, 210120243120 is an apocalyptic number.

10120243120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822523056).

10120243120 is an abundant number, since it is smaller than the sum of its proper divisors (15524802992).

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

10120243120 is a wasteful number, since it uses less digits than its factorization.

10120243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117350 (or 117344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10120243120 its reverse (2134202101), we get a palindrome (12254445221).

The spelling of 10120243120 in words is "ten billion, one hundred twenty million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 415 520 664 830 1040 1079 1328 1660 2158 3320 4316 5395 6640 8632 10790 17264 21580 43160 86320 117241 234482 468964 586205 937928 1172410 1524133 1875856 2344820 3048266 4689640 6096532 7620665 9379280 9731003 12193064 15241330 19462006 24386128 30482660 38924012 48655015 60965320 77848024 97310030 121930640 126503039 155696048 194620060 253006078 389240120 506012156 632515195 778480240 1012024312 1265030390 2024048624 2530060780 5060121560 10120243120