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103114520 = 235171923347
BaseRepresentation
bin1100010010101…
…10011100011000
321012000202112022
412021112130120
5202344131040
614122034012
72361313265
oct611263430
9235022468
10103114520
1153229513
122a648908
1318494312
14d9a226c
1590bc6b5
hex6256718

103114520 has 128 divisors (see below), whose sum is σ = 270604800. Its totient is φ = 35076096.

The previous prime is 103114519. The next prime is 103114567. The reversal of 103114520 is 25411301.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 296987 + ... + 297333.

It is an arithmetic number, because the mean of its divisors is an integer number (2114100).

Almost surely, 2103114520 is an apocalyptic number.

103114520 is a gapful number since it is divisible by the number (10) 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 103114520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135302400).

103114520 is an abundant number, since it is smaller than the sum of its proper divisors (167490280).

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

103114520 is a wasteful number, since it uses less digits than its factorization.

103114520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 103114520 is about 10154.5319931546. The cubic root of 103114520 is about 468.9284779317.

Adding to 103114520 its reverse (25411301), we get a palindrome (128525821).

It can be divided in two parts, 1031 and 14520, that added together give a palindrome (15551).

The spelling of 103114520 in words is "one hundred three million, one hundred fourteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 23 34 38 40 46 68 76 85 92 95 115 136 152 170 184 190 230 323 340 347 380 391 437 460 646 680 694 760 782 874 920 1292 1388 1564 1615 1735 1748 1955 2185 2584 2776 3128 3230 3470 3496 3910 4370 5899 6460 6593 6940 7429 7820 7981 8740 11798 12920 13186 13880 14858 15640 15962 17480 23596 26372 29495 29716 31924 32965 37145 39905 47192 52744 58990 59432 63848 65930 74290 79810 112081 117980 131860 135677 148580 151639 159620 224162 235960 263720 271354 297160 303278 319240 448324 542708 560405 606556 678385 758195 896648 1085416 1120810 1213112 1356770 1516390 2241620 2577863 2713540 3032780 4483240 5155726 5427080 6065560 10311452 12889315 20622904 25778630 51557260 103114520