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101224341141 = 37115921413469
BaseRepresentation
bin101111001000101110…
…0001101111010010101
3100200021111110022112220
41132101130031322111
53124301412404031
6114300220532553
710212301463130
oct1362134157225
9320244408486
10101224341141
1139a24557790
121774b9b1159
139712377261
144c838c9217
152976982596
hex179170de95

101224341141 has 64 divisors (see below), whose sum is σ = 171250329600. Its totient is φ = 51653779200.

The previous prime is 101224341091. The next prime is 101224341149. The reversal of 101224341141 is 141143422101.

It is a happy number.

It is not a de Polignac number, because 101224341141 - 210 = 101224340117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101224341149) 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, 29177955 + ... + 29181423.

It is an arithmetic number, because the mean of its divisors is an integer number (2675786400).

Almost surely, 2101224341141 is an apocalyptic number.

101224341141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101224341141 is a deficient number, since it is larger than the sum of its proper divisors (70025988459).

101224341141 is a wasteful number, since it uses less digits than its factorization.

101224341141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101224341141 its reverse (141143422101), we get a palindrome (242367763242).

The spelling of 101224341141 in words is "one hundred one billion, two hundred twenty-four million, three hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 33 59 77 177 231 413 649 1239 1947 2141 3469 4543 6423 10407 13629 14987 23551 24283 38159 44961 70653 72849 114477 126319 164857 204671 267113 378957 494571 614013 801339 884233 1389509 1432697 2251381 2652699 4168527 4298091 6754143 7427129 9726563 15759667 22281387 29179689 47279001 51989903 81698419 155969709 245095257 438200611 571888933 1314601833 1715666799 3067404277 4820206721 9202212831 14460620163 33741447047 101224341141