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215420524132401 = 32723757887221411
BaseRepresentation
bin110000111110110001111111…
…110100010111100000110001
31001020202000000201022202112200
4300332301333310113200301
5211213422213134214101
62042054453402413413
763242422256616060
oct6076617764274061
91036660021282480
10215420524132401
1162704370964715
12201b1b35801269
1393280b6c78a23
143b2a5a241c1d7
1519d88aed9b986
hexc3ec7fd17831

215420524132401 has 96 divisors (see below), whose sum is σ = 371987123908608. Its totient is φ = 117456736763520.

The previous prime is 215420524132399. The next prime is 215420524132403. The reversal of 215420524132401 is 104231425024512.

215420524132401 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 2 + 0 + 5 + 241 + 3 + 2 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (215420524132399) and next prime (215420524132403).

It is not a de Polignac number, because 215420524132401 - 21 = 215420524132399 is a prime.

It is a super-2 number, since 2×2154205241324012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (215420524132403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972833386 + ... + 973054796.

It is an arithmetic number, because the mean of its divisors is an integer number (3874865874048).

Almost surely, 2215420524132401 is an apocalyptic number.

215420524132401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

215420524132401 is a deficient number, since it is larger than the sum of its proper divisors (156566599776207).

215420524132401 is a wasteful number, since it uses less digits than its factorization.

215420524132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223091 (or 223088 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 215420524132401 its reverse (104231425024512), we get a palindrome (319651949156913).

The spelling of 215420524132401 in words is "two hundred fifteen trillion, four hundred twenty billion, five hundred twenty-four million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 23 63 69 161 207 483 757 887 1449 2271 2661 5299 6209 6813 7983 15897 17411 18627 20401 47691 52233 55881 61203 121877 142807 156699 183609 221411 365631 428421 664233 671459 1096893 1285263 1549877 1992699 2014377 4649631 4700213 5092453 6043131 13948893 14100639 15277359 15443557 35647171 42301917 45832077 46330671 106941513 108104899 138992013 167608127 196391557 320824539 324314697 502824381 589174671 972944091 1173256889 1374740899 1508473143 1767524013 3519770667 3854986921 4124222697 4517005811 10559312001 11564960763 12372668091 13551017433 26984908447 31619040677 34694882289 40653052299 80954725341 94857122031 148668408649 242864176023 284571366093 446005225947 1040678860543 1338015677841 3122036581629 3419373398927 9366109744887 10258120196781 23935613792489 30774360590343 71806841377467 215420524132401