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1032132102441 = 31113117310691291
BaseRepresentation
bin11110000010011111101…
…11100000100100101001
310122200010001122100120020
433001033313200210221
5113402301304234231
62110053244551053
7134366124054666
oct17011767404451
93580101570506
101032132102441
113687a7734060
1214804ab52489
13764392ab6cb
1437d53ad6a6d
151bcac649396
hexf04fde0929

1032132102441 has 64 divisors (see below), whose sum is σ = 1524090332160. Its totient is φ = 616116384000.

The previous prime is 1032132102439. The next prime is 1032132102457. The reversal of 1032132102441 is 1442012312301.

1032132102441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032132102441 - 21 = 1032132102439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032132102401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 799482006 + ... + 799483296.

It is an arithmetic number, because the mean of its divisors is an integer number (23813911440).

Almost surely, 21032132102441 is an apocalyptic number.

1032132102441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032132102441 is a deficient number, since it is larger than the sum of its proper divisors (491958229719).

1032132102441 is a wasteful number, since it uses less digits than its factorization.

1032132102441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1032132102441 its reverse (1442012312301), we get a palindrome (2474144414742).

The spelling of 1032132102441 in words is "one trillion, thirty-two billion, one hundred thirty-two million, one hundred two thousand, four hundred forty-one".

Divisors: 1 3 11 33 131 173 393 519 1069 1291 1441 1903 3207 3873 4323 5709 11759 14201 22663 35277 42603 67989 140039 169121 184937 223343 249293 420117 507363 554811 670029 747879 1380079 1540429 1860331 2034307 2456773 4140237 4621287 5580993 6102921 7370319 15180869 24226747 29257933 45542607 72680241 87773799 180790349 238753667 266494217 321837263 542371047 716261001 799482651 965511789 1988693839 2626290337 5966081517 7878871011 31276730377 93830191131 344044034147 1032132102441