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2153212425441 = 3271135985710099
BaseRepresentation
bin11111010101010101011…
…101100011010011100001
321121211211002001111002200
4133111111131203103201
5240234234340103231
64325101103003413
7311364416430120
oct37252535432341
97554732044080
102153212425441
117601993097a0
122a9382599569
1312807c512b8c
1476304b41ab7
153b023b11be6
hex1f5557634e1

2153212425441 has 96 divisors (see below), whose sum is σ = 3893370624000. Its totient is φ = 1114024285440.

The previous prime is 2153212425437. The next prime is 2153212425451. The reversal of 2153212425441 is 1445242123512.

2153212425441 is a `hidden beast` number, since 2 + 1 + 5 + 321 + 242 + 54 + 41 = 666.

It is not a de Polignac number, because 2153212425441 - 22 = 2153212425437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2153212425396 and 2153212425405.

It is not an unprimeable number, because it can be changed into a prime (2153212425451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 213205410 + ... + 213215508.

It is an arithmetic number, because the mean of its divisors is an integer number (40555944000).

Almost surely, 22153212425441 is an apocalyptic number.

2153212425441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2153212425441 is a deficient number, since it is larger than the sum of its proper divisors (1740158198559).

2153212425441 is a wasteful number, since it uses less digits than its factorization.

2153212425441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11336 counting only the distinct ones).

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

Adding to 2153212425441 its reverse (1445242123512), we get a palindrome (3598454548953).

The spelling of 2153212425441 in words is "two trillion, one hundred fifty-three billion, two hundred twelve million, four hundred twenty-five thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 359 693 857 1077 2513 2571 3231 3949 5999 7539 7713 9427 10099 11847 17997 22617 27643 28281 30297 35541 53991 65989 70693 82929 84843 90891 111089 197967 212079 248787 307663 333267 593901 636237 777623 922989 999801 2153641 2332869 2768967 3384293 3625541 6460923 6998607 8654843 10152879 10876623 19382769 23690051 25378787 25964529 30458637 32629869 39880951 60583901 71070153 76136361 77893587 95203273 119642853 181751703 213210459 228409083 279166657 285609819 358928559 545255109 666422911 837499971 856829457 1999268733 2512499913 3107088637 5997806199 9321265911 21749620459 27963797733 34177975007 65248861377 102533925021 195746584131 239245825049 307601775063 717737475147 2153212425441