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101023452541 = 1129823738447
BaseRepresentation
bin101111000010101110…
…1111000110101111101
3100122202111110010012101
41132011131320311331
53123344000440131
6114224243105101
710204312115104
oct1360535706575
9318674403171
10101023452541
1139931118150
12176b4672191
1396ac86b66b
144c64d5503b
152963eeec61
hex1785778d7d

101023452541 has 16 divisors (see below), whose sum is σ = 114024464640. Its totient is φ = 88659551680.

The previous prime is 101023452533. The next prime is 101023452547. The reversal of 101023452541 is 145254320101.

It is not a de Polignac number, because 101023452541 - 23 = 101023452533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023452547) 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 15 ways as a sum of consecutive naturals, for example, 2608380 + ... + 2646826.

It is an arithmetic number, because the mean of its divisors is an integer number (7126529040).

Almost surely, 2101023452541 is an apocalyptic number.

101023452541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023452541 is a deficient number, since it is larger than the sum of its proper divisors (13001012099).

101023452541 is a wasteful number, since it uses less digits than its factorization.

101023452541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46724.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 101023452541 its reverse (145254320101), we get a palindrome (246277772642).

It can be divided in two parts, 10102 and 3452541, that added together give a palindrome (3462643).

The spelling of 101023452541 in words is "one hundred one billion, twenty-three million, four hundred fifty-two thousand, five hundred forty-one".

Divisors: 1 11 29 319 8237 38447 90607 238873 422917 1114963 2627603 12264593 316687939 3483567329 9183950231 101023452541