Search a number
-
+
10021008375 = 325372181787
BaseRepresentation
bin10010101010100110…
…00111001111110111
3221212101021222012100
421111103013033313
5131010334232000
64334212553143
7503221110600
oct112523071767
927771258170
1010021008375
114282663a04
121b380227b3
13c39164871
146b0c70da7
153d9b5ca00
hex2554c73f7

10021008375 has 72 divisors (see below), whose sum is σ = 21013965648. Its totient is φ = 4581007200.

The previous prime is 10021008289. The next prime is 10021008397. The reversal of 10021008375 is 57380012001.

It is not a de Polignac number, because 10021008375 - 29 = 10021007863 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35769 + ... + 146018.

It is an arithmetic number, because the mean of its divisors is an integer number (291860634).

Almost surely, 210021008375 is an apocalyptic number.

10021008375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10021008375 is an abundant number, since it is smaller than the sum of its proper divisors (10992957273).

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

10021008375 is a wasteful number, since it uses less digits than its factorization.

10021008375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181822 (or 181802 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10021008375 in words is "ten billion, twenty-one million, eight thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 735 875 1125 1225 1575 2205 2625 3675 6125 7875 11025 18375 55125 181787 545361 908935 1272509 1636083 2726805 3817527 4544675 6362545 8180415 8907563 11452581 13634025 19087635 22723375 26722689 31812725 40902075 44537815 57262905 68170125 80168067 95438175 133613445 159063625 204510375 222689075 286314525 400840335 477190875 668067225 1113445375 1431572625 2004201675 3340336125 10021008375