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103102128 = 2432372523
BaseRepresentation
bin1100010010100…
…11011010110000
321012000010112100
412021103122300
5202343232003
614121500400
72361232203
oct611233260
9235003470
10103102128
1153220178
122a641700
131848b79c
14d99b93a
1590b8ba3
hex62536b0

103102128 has 90 divisors (see below), whose sum is σ = 297119004. Its totient is φ = 33374592.

The previous prime is 103102081. The next prime is 103102171. The reversal of 103102128 is 821201301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 103102128.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196875 + ... + 197397.

Almost surely, 2103102128 is an apocalyptic number.

103102128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148559502).

103102128 is an abundant number, since it is smaller than the sum of its proper divisors (194016876).

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

103102128 is a wasteful number, since it uses less digits than its factorization.

103102128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 103102128 is about 10153.9218039140. The cubic root of 103102128 is about 468.9096923636.

Adding to 103102128 its reverse (821201301), we get a palindrome (924303429).

The spelling of 103102128 in words is "one hundred three million, one hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 523 592 666 888 1046 1332 1369 1569 1776 2092 2664 2738 3138 4107 4184 4707 5328 5476 6276 8214 8368 9414 10952 12321 12552 16428 18828 19351 21904 24642 25104 32856 37656 38702 49284 58053 65712 75312 77404 98568 116106 154808 174159 197136 232212 309616 348318 464424 696636 715987 928848 1393272 1431974 2147961 2786544 2863948 4295922 5727896 6443883 8591844 11455792 12887766 17183688 25775532 34367376 51551064 103102128