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103159128 = 233172107139
BaseRepresentation
bin1100010011000…
…01010101011000
321012010000201110
412021201111120
5202402043003
614123020320
72361560322
oct611412530
9235100643
10103159128
1153259a86
122a66a6a0
13184ab707
14d9b4612
1590caa03
hex6261558

103159128 has 96 divisors (see below), whose sum is σ = 278510400. Its totient is φ = 31830528.

The previous prime is 103159109. The next prime is 103159139. The reversal of 103159128 is 821951301.

It is a junction number, because it is equal to n+sod(n) for n = 103159095 and 103159104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742083 + ... + 742221.

It is an arithmetic number, because the mean of its divisors is an integer number (2901150).

Almost surely, 2103159128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103159128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139255200).

103159128 is an abundant number, since it is smaller than the sum of its proper divisors (175351272).

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

103159128 is a wasteful number, since it uses less digits than its factorization.

103159128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 103159128 is about 10156.7282133569. The cubic root of 103159128 is about 468.9960886680.

The spelling of 103159128 in words is "one hundred three million, one hundred fifty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 139 204 214 278 289 321 408 417 428 556 578 642 834 856 867 1112 1156 1284 1668 1734 1819 2312 2363 2568 3336 3468 3638 4726 5457 6936 7089 7276 9452 10914 14178 14552 14873 18904 21828 28356 29746 30923 40171 43656 44619 56712 59492 61846 80342 89238 92769 118984 120513 123692 160684 178476 185538 241026 247384 252841 321368 356952 371076 482052 505682 742152 758523 964104 1011364 1517046 2022728 3034092 4298297 6068184 8596594 12894891 17193188 25789782 34386376 51579564 103159128