Search a number
-
+
211375710211400 = 23527286789526459
BaseRepresentation
bin110000000011111010111110…
…000111110000110101001000
31000201102022122200022222221122
4300003322332013300311020
5210201134423303231100
62025320354414454412
762344251101562020
oct6003727607606510
91021368580288848
10211375710211400
1161394a319519a9
121b85a041804408
1390c384a990c97
143a2a8d344aa80
1519685799ac985
hexc03ebe1f0d48

211375710211400 has 96 divisors (see below), whose sum is σ = 561658483848000. Its totient is φ = 72471281713920.

The previous prime is 211375710211397. The next prime is 211375710211489. The reversal of 211375710211400 is 4112017573112.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401241371 + ... + 401767829.

It is an arithmetic number, because the mean of its divisors is an integer number (5850609206750).

Almost surely, 2211375710211400 is an apocalyptic number.

211375710211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211375710211400 is an abundant number, since it is smaller than the sum of its proper divisors (350282773636600).

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

211375710211400 is a wasteful number, since it uses less digits than its factorization.

211375710211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813271 (or 813262 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

Adding to 211375710211400 its reverse (4112017573112), we get a palindrome (215487727784512).

The spelling of 211375710211400 in words is "two hundred eleven trillion, three hundred seventy-five billion, seven hundred ten million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 286789 526459 573578 1052918 1147156 1433945 2007523 2105836 2294312 2632295 2867890 3685213 4015046 4211672 5264590 5735780 7169725 7370426 8030092 10037615 10529180 11471560 13161475 14339450 14740852 16060184 18426065 20075230 21058360 26322950 28678900 29481704 36852130 40150460 50188075 52645900 57357800 73704260 80300920 92130325 100376150 105291800 147408520 184260650 200752300 368521300 401504600 737042600 150982650151 301965300302 603930600604 754913250755 1056878551057 1207861201208 1509826501510 2113757102114 3019653003020 3774566253775 4227514204228 5284392755285 6039306006040 7549132507550 8455028408456 10568785510570 15098265015100 21137571021140 26421963776425 30196530030200 42275142042280 52843927552850 105687855105700 211375710211400