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10115012080 = 245295418059
BaseRepresentation
bin10010110101110011…
…01101010111110000
3222002221011212001001
421122321231113300
5131203420341310
64351411451344
7505442120065
oct113271552760
928087155031
1010115012080
11432072a318
121b635b6b54
13c52788c64
146bd540c6c
153e302a93a
hex25ae6d5f0

10115012080 has 80 divisors (see below), whose sum is σ = 24376341600. Its totient is φ = 3898782720.

The previous prime is 10115012071. The next prime is 10115012099. The reversal of 10115012080 is 8021051101.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 1251091 + ... + 1259149.

It is an arithmetic number, because the mean of its divisors is an integer number (304704270).

Almost surely, 210115012080 is an apocalyptic number.

10115012080 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 10115012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188170800).

10115012080 is an abundant number, since it is smaller than the sum of its proper divisors (14261329520).

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

10115012080 is a wasteful number, since it uses less digits than its factorization.

10115012080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642 (or 8636 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 10115012080 its reverse (8021051101), we get a palindrome (18136063181).

The spelling of 10115012080 in words is "ten billion, one hundred fifteen million, twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 541 580 1082 1160 2164 2320 2705 4328 5410 8059 8656 10820 15689 16118 21640 31378 32236 40295 43280 62756 64472 78445 80590 125512 128944 156890 161180 233711 251024 313780 322360 467422 627560 644720 934844 1168555 1255120 1869688 2337110 3739376 4359919 4674220 8719838 9348440 17439676 18696880 21799595 34879352 43599190 69758704 87198380 126437651 174396760 252875302 348793520 505750604 632188255 1011501208 1264376510 2023002416 2528753020 5057506040 10115012080