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100555061013 = 331117294315971
BaseRepresentation
bin101110110100110001…
…1000111011100010101
3100121112212002100211000
41131221203013130111
53121414043423023
6114105551533513
710156563626121
oct1355143073425
9317485070730
10100555061013
113971078a710
12175a382a299
139636802704
144c1ca6a581
152937d2c243
hex17698c7715

100555061013 has 128 divisors (see below), whose sum is σ = 182157465600. Its totient is φ = 54088473600.

The previous prime is 100555061011. The next prime is 100555061029. The reversal of 100555061013 is 310160555001.

100555061013 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 550 + 6 + 101 + 3 = 666.

It is not a de Polignac number, because 100555061013 - 21 = 100555061011 is a prime.

It is a super-2 number, since 2×1005550610132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100555061011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6288118 + ... + 6304088.

It is an arithmetic number, because the mean of its divisors is an integer number (1423105200).

Almost surely, 2100555061013 is an apocalyptic number.

It is an amenable number.

100555061013 is a deficient number, since it is larger than the sum of its proper divisors (81602404587).

100555061013 is a wasteful number, since it uses less digits than its factorization.

100555061013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16080 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 100555061013 in words is "one hundred billion, five hundred fifty-five million, sixty-one thousand, thirteen".

Divisors: 1 3 9 11 17 27 29 33 43 51 87 99 129 153 187 261 297 319 387 459 473 493 561 731 783 957 1161 1247 1419 1479 1683 2193 2871 3741 4257 4437 5049 5423 6579 8041 8613 11223 12771 13311 13717 15971 16269 19737 21199 24123 33669 41151 47913 48807 63597 72369 123453 143739 146421 175681 190791 217107 233189 271507 370359 431217 463159 527043 572373 686753 699567 814521 1389477 1581129 2060259 2098701 2443563 2986577 4168431 4743387 5094749 6180777 6296103 7330689 7554283 7873703 8959731 11674801 12505293 15284247 18542331 19915837 22662849 23621109 26879193 35024403 45852741 59747511 67988547 70863327 80637579 86610733 105073209 128422811 137558223 179242533 203965641 212589981 219074207 259832199 315219627 338569229 385268433 537727599 657222621 779496597 1015707687 1155805299 1971667863 2338489791 3047123061 3467415897 3724261519 5915003589 9141369183 11172784557 33518353671 100555061013