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103552451135 = 57171132115373
BaseRepresentation
bin110000001110000110…
…1010000001000111111
3100220021202012120001222
41200130031100020333
53144033411414020
6115323224223555
710324061211620
oct1403415201077
9326252176058
10103552451135
113aa09728231
121809b60abbb
1399c37b2033
145024b93a47
152a61057b25
hex181c35023f

103552451135 has 32 divisors (see below), whose sum is σ = 150391665792. Its totient is φ = 66820239360.

The previous prime is 103552451081. The next prime is 103552451147. The reversal of 103552451135 is 531154255301.

It is not a de Polignac number, because 103552451135 - 236 = 34832974399 is a prime.

It is a super-3 number, since 3×1035524511353 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 103552451095 and 103552451104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6728309 + ... + 6743681.

It is an arithmetic number, because the mean of its divisors is an integer number (4699739556).

Almost surely, 2103552451135 is an apocalyptic number.

103552451135 is a deficient number, since it is larger than the sum of its proper divisors (46839214657).

103552451135 is a wasteful number, since it uses less digits than its factorization.

103552451135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26723.

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 103552451135 in words is "one hundred three billion, five hundred fifty-two million, four hundred fifty-one thousand, one hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 595 11321 15373 56605 76865 79247 107611 192457 261341 396235 538055 962285 1306705 1347199 1829387 6735995 9146935 174037733 870188665 1218264131 2958641461 6091320655 14793207305 20710490227 103552451135