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1230103000 = 235371710337
BaseRepresentation
bin100100101010001…
…1110000111011000
310011201122201002101
41021110132013120
510004401244000
6322021213144
742324463060
oct11124360730
93151581071
101230103000
115813a7655
122a3b611b4
13167b042c9
14b95283a0
1572ed4e6a
hex4951e1d8

1230103000 has 128 divisors (see below), whose sum is σ = 3483492480. Its totient is φ = 396902400.

The previous prime is 1230102989. The next prime is 1230103009. The reversal of 1230103000 is 3010321.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230103009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113832 + ... + 124168.

It is an arithmetic number, because the mean of its divisors is an integer number (27214785).

Almost surely, 21230103000 is an apocalyptic number.

1230103000 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 1230103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741746240).

1230103000 is an abundant number, since it is smaller than the sum of its proper divisors (2253389480).

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

1230103000 is a wasteful number, since it uses less digits than its factorization.

1230103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1230103000 is about 35072.8242375774. The cubic root of 1230103000 is about 1071.4711762952.

Adding to 1230103000 its reverse (3010321), we get a palindrome (1233113321).

The spelling of 1230103000 in words is "one billion, two hundred thirty million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 10337 11900 14875 17000 20674 23800 29750 41348 51685 59500 72359 82696 103370 119000 144718 175729 206740 258425 289436 351458 361795 413480 516850 578872 702916 723590 878645 1033700 1230103 1292125 1405832 1447180 1757290 1808975 2067400 2460206 2584250 2894360 3514580 3617950 4393225 4920412 5168500 6150515 7029160 7235900 8786450 9044875 9840824 10337000 12301030 14471800 17572900 18089750 21966125 24602060 30752575 35145800 36179500 43932250 49204120 61505150 72359000 87864500 123010300 153762875 175729000 246020600 307525750 615051500 1230103000