Search a number
-
+
10120036628280 = 2335772310919803
BaseRepresentation
bin1001001101000100000100…
…1100000011011100111000
31022211110120202022202212210
42103101001030003130320
52311301313334101110
633305025230335120
72063101641012555
oct223210114033470
938743522282783
1010120036628280
113251979936547
1211753b795a4a0
13585413ac8817
1426db5328ba2c
151283a3231520
hex93441303738

10120036628280 has 64 divisors (see below), whose sum is σ = 30364043794560. Its totient is φ = 2698326753408.

The previous prime is 10120036628257. The next prime is 10120036628281. The reversal of 10120036628280 is 8282663002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120036628281) 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 15 ways as a sum of consecutive naturals, for example, 4533142 + ... + 6386661.

It is an arithmetic number, because the mean of its divisors is an integer number (474438184290).

Almost surely, 210120036628280 is an apocalyptic number.

10120036628280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120036628280 is an abundant number, since it is smaller than the sum of its proper divisors (20244007166280).

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

10120036628280 is a wasteful number, since it uses less digits than its factorization.

10120036628280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927540 (or 10927536 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10120036628280 in words is "ten trillion, one hundred twenty billion, thirty-six million, six hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7723 15446 23169 30892 38615 46338 61784 77230 92676 115845 154460 185352 231690 308920 463380 926760 10919803 21839606 32759409 43679212 54599015 65518818 87358424 109198030 131037636 163797045 218396060 262075272 327594090 436792120 655188180 1310376360 84333638569 168667277138 253000915707 337334554276 421668192845 506001831414 674669108552 843336385690 1012003662828 1265004578535 1686672771380 2024007325656 2530009157070 3373345542760 5060018314140 10120036628280