Search a number
-
+
103001130 = 232517232927
BaseRepresentation
bin1100010001110…
…10110000101010
321011210222222200
412020322300222
5202332014010
614115401030
72360331561
oct610726052
9234728880
10103001130
1153161301
122a5b3176
131845481b
14d972bd8
159098cc0
hex623ac2a

103001130 has 96 divisors (see below), whose sum is σ = 295985664. Its totient is φ = 24718848.

The previous prime is 103001117. The next prime is 103001131. The reversal of 103001130 is 31100301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103001131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33727 + ... + 36653.

It is an arithmetic number, because the mean of its divisors is an integer number (3083184).

Almost surely, 2103001130 is an apocalyptic number.

103001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147992832).

103001130 is an abundant number, since it is smaller than the sum of its proper divisors (192984534).

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

103001130 is a wasteful number, since it uses less digits than its factorization.

103001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 103001130 is about 10148.9472360437. The cubic root of 103001130 is about 468.7565289757.

Adding to 103001130 its reverse (31100301), we get a palindrome (134101431).

The spelling of 103001130 in words is "one hundred three million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 170 207 230 255 306 345 391 414 510 690 765 782 1035 1173 1530 1955 2070 2346 2927 3519 3910 5854 5865 7038 8781 11730 14635 17562 17595 26343 29270 35190 43905 49759 52686 67321 87810 99518 131715 134642 149277 201963 248795 263430 298554 336605 403926 447831 497590 605889 673210 746385 895662 1009815 1144457 1211778 1492770 2019630 2239155 2288914 3029445 3433371 4478310 5722285 6058890 6866742 10300113 11444570 17166855 20600226 34333710 51500565 103001130