Search a number
-
+
101555400340 = 225142918011973
BaseRepresentation
bin101111010010100101…
…1000110111010010100
3100201010120101212101201
41132211023012322110
53130441140302330
6114353124402244
710223431442242
oct1364513067224
9321116355351
10101555400340
113a084415429
1217822846384
139765b2b184
144cb5865792
152995a78eca
hex17a52c6e94

101555400340 has 48 divisors (see below), whose sum is σ = 213642308880. Its totient is φ = 40550630400.

The previous prime is 101555400319. The next prime is 101555400361. The reversal of 101555400340 is 43004555101.

It is an interprime number because it is at equal distance from previous prime (101555400319) and next prime (101555400361).

It can be written as a sum of positive squares in 8 ways, for example, as 41376441744 + 60178958596 = 203412^2 + 245314^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101555400299 and 101555400308.

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, 51471594 + ... + 51473566.

It is an arithmetic number, because the mean of its divisors is an integer number (4450881435).

Almost surely, 2101555400340 is an apocalyptic number.

101555400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101555400340 is an abundant number, since it is smaller than the sum of its proper divisors (112086908540).

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

101555400340 is a wasteful number, since it uses less digits than its factorization.

101555400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 101555400340 its reverse (43004555101), we get a palindrome (144559955441).

The spelling of 101555400340 in words is "one hundred one billion, five hundred fifty-five million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1429 1801 1973 2858 3602 3946 5716 7145 7204 7892 9005 9865 14290 18010 19730 28580 36020 39460 2573629 2819417 3553373 5147258 5638834 7106746 10294516 11277668 12868145 14097085 14213492 17766865 25736290 28194170 35533730 51472580 56388340 71067460 5077770017 10155540034 20311080068 25388850085 50777700170 101555400340