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10155041000 = 235313260089
BaseRepresentation
bin10010111010100100…
…11010000011101000
3222012201111112101122
421131102122003220
5131244142303000
64355401434412
7506436265346
oct113522320350
928181445348
1010155041000
11434128a675
121b74a9ba08
13c5ab62a00
146c49a0996
153e67d6085
hex25d49a0e8

10155041000 has 96 divisors (see below), whose sum is σ = 25731739800. Its totient is φ = 3749491200.

The previous prime is 10155040997. The next prime is 10155041009. The reversal of 10155041000 is 14055101.

It can be written as a sum of positive squares in 12 ways, for example, as 589809796 + 9565231204 = 24286^2 + 97802^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10155041000.

It is not an unprimeable number, because it can be changed into a prime (10155041009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138956 + ... + 199044.

Almost surely, 210155041000 is an apocalyptic number.

10155041000 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 10155041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12865869900).

10155041000 is an abundant number, since it is smaller than the sum of its proper divisors (15576698800).

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

10155041000 is a wasteful number, since it uses less digits than its factorization.

10155041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60136 (or 60109 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

Adding to 10155041000 its reverse (14055101), we get a palindrome (10169096101).

The spelling of 10155041000 in words is "ten billion, one hundred fifty-five million, forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 33800 42250 60089 84500 120178 169000 240356 300445 480712 600890 781157 1201780 1502225 1562314 2403560 3004450 3124628 3905785 6008900 6249256 7511125 7811570 10155041 12017800 15022250 15623140 19528925 20310082 30044500 31246280 39057850 40620164 50775205 60089000 78115700 81240328 97644625 101550410 156231400 195289250 203100820 253876025 390578500 406201640 507752050 781157000 1015504100 1269380125 2031008200 2538760250 5077520500 10155041000