Search a number
-
+
211071203125 = 56174119381
BaseRepresentation
bin1100010010010011010…
…0101111011100110101
3202011210220201002001121
43010210310233130311
511424233212000000
6240544220223541
721151353424066
oct3044464573465
9664726632047
10211071203125
1181573211a52
1234aa739abb1
1316b99c16b43
14a30460856d
1557553cab1a
hex3124d2f735

211071203125 has 56 divisors (see below), whose sum is σ = 286183680552. Its totient is φ = 155040000000.

The previous prime is 211071203071. The next prime is 211071203141. The reversal of 211071203125 is 521302170112.

It can be written as a sum of positive squares in 28 ways, for example, as 101033708164 + 110037494961 = 317858^2 + 331719^2 .

It is not a de Polignac number, because 211071203125 - 225 = 211037648693 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211071203125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10880935 + ... + 10900315.

It is an arithmetic number, because the mean of its divisors is an integer number (5110422867).

Almost surely, 2211071203125 is an apocalyptic number.

211071203125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211071203125 is a deficient number, since it is larger than the sum of its proper divisors (75112477427).

211071203125 is an frugal number, since it uses more digits than its factorization.

211071203125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19469 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 211071203125 its reverse (521302170112), we get a palindrome (732373373237).

The spelling of 211071203125 in words is "two hundred eleven billion, seventy-one million, two hundred three thousand, one hundred twenty-five".

Divisors: 1 5 17 25 41 85 125 205 425 625 697 1025 2125 3125 3485 5125 10625 15625 17425 19381 25625 53125 87125 96905 128125 265625 329477 435625 484525 640625 794621 1647385 2178125 2422625 3973105 8236925 10890625 12113125 13508557 19865525 41184625 60565625 67542785 99327625 205923125 302828125 337713925 496638125 1029615625 1688569625 2483190625 5148078125 8442848125 12415953125 42214240625 211071203125