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103038831 = 3376779103
BaseRepresentation
bin1100010010000…
…11111101101111
321011212220201000
412021003331233
5202334220311
614120251343
72360546520
oct611037557
9234786630
10103038831
1153187665
122a610b53
1318468a2c
14d982847
1590a5056
hex6243f6f

103038831 has 64 divisors (see below), whose sum is σ = 181043200. Its totient is φ = 56710368.

The previous prime is 103038811. The next prime is 103038847. The reversal of 103038831 is 138830301.

It is not a de Polignac number, because 103038831 - 25 = 103038799 is a prime.

It is a super-2 number, since 2×1030388312 = 21234001387693122, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103038795 and 103038804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103038811) 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, 1000326 + ... + 1000428.

It is an arithmetic number, because the mean of its divisors is an integer number (2828800).

Almost surely, 2103038831 is an apocalyptic number.

103038831 is a deficient number, since it is larger than the sum of its proper divisors (78004369).

103038831 is a wasteful number, since it uses less digits than its factorization.

103038831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103038831 is about 10150.8044508797. The cubic root of 103038831 is about 468.8137142193.

The spelling of 103038831 in words is "one hundred three million, thirty-eight thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 67 79 103 189 201 237 309 469 553 603 711 721 927 1407 1659 1809 2133 2163 2781 4221 4977 5293 6489 6901 8137 12663 14931 15879 19467 20703 24411 37051 47637 48307 56959 62109 73233 111153 142911 144921 170877 186327 219699 333459 434763 512631 545179 1000377 1304289 1537893 1635537 3816253 4906611 11448759 14719833 34346277 103038831