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2141505135 = 345711431597
BaseRepresentation
bin111111110100100…
…1100011001101111
312112020121201210000
41333221030121233
513341211131020
6552255515343
7104032331130
oct17751143157
95466551700
102141505135
119a9907560
124b9228b53
13281890803
141645b1c87
15c8015090
hex7fa4c66f

2141505135 has 160 divisors (see below), whose sum is σ = 4900465152. Its totient is φ = 868734720.

The previous prime is 2141505109. The next prime is 2141505139. The reversal of 2141505135 is 5315051412.

2141505135 is a `hidden beast` number, since 2 + 141 + 5 + 0 + 513 + 5 = 666.

It is not a de Polignac number, because 2141505135 - 27 = 2141505007 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2141505099 and 2141505108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141505139) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1340157 + ... + 1341753.

Almost surely, 22141505135 is an apocalyptic number.

2141505135 is an abundant number, since it is smaller than the sum of its proper divisors (2758960017).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141505135 is a wasteful number, since it uses less digits than its factorization.

2141505135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2141505135 is about 46276.3993305443. The cubic root of 2141505135 is about 1288.9607909570.

Adding to 2141505135 its reverse (5315051412), we get a palindrome (7456556547).

The spelling of 2141505135 in words is "two billion, one hundred forty-one million, five hundred five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 43 45 55 63 77 81 99 105 129 135 165 189 215 231 297 301 315 385 387 405 473 495 567 645 693 891 903 945 1155 1161 1419 1485 1505 1597 1935 2079 2365 2709 2835 3311 3465 3483 4257 4455 4515 4791 5805 6237 7095 7985 8127 9933 10395 11179 12771 13545 14373 16555 17415 17567 21285 23955 24381 29799 31185 33537 38313 40635 43119 49665 52701 55895 63855 68671 71865 87835 89397 100611 121905 122969 129357 148995 158103 167685 191565 206013 215595 263505 268191 301833 343355 368907 446985 474309 480697 503055 614845 618039 646785 755381 790515 905499 1030065 1106721 1340955 1422927 1442091 1509165 1844535 1854117 2266143 2371545 2403485 3090195 3320163 3776905 4326273 4527495 5287667 5533605 5562351 6798429 7114635 7210455 9270585 9960489 11330715 12978819 15863001 16600815 20395287 21631365 26438335 27811755 33992145 38936457 47589003 49802445 61185861 64894095 79315005 101976435 142767009 194682285 237945015 305929305 428301027 713835045 2141505135