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103420125240 = 23353749946679
BaseRepresentation
bin110000001010001010…
…0011110000000111000
3100212221112012201001220
41200110110132000320
53143301023001430
6115302140112040
710320563363055
oct1402424360070
9325845181056
10103420125240
113a950a67893
1218063235620
1399a22609a3
14501138a02c
152a5461a110
hex181451e038

103420125240 has 128 divisors (see below), whose sum is σ = 319291200000. Its totient is φ = 26778981888.

The previous prime is 103420125217. The next prime is 103420125247. The reversal of 103420125240 is 42521024301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103420125240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103420125247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192221 + ... + 2238899.

It is an arithmetic number, because the mean of its divisors is an integer number (2494462500).

Almost surely, 2103420125240 is an apocalyptic number.

103420125240 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 103420125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159645600000).

103420125240 is an abundant number, since it is smaller than the sum of its proper divisors (215871074760).

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

103420125240 is a wasteful number, since it uses less digits than its factorization.

103420125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47229 (or 47225 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 103420125240 its reverse (42521024301), we get a palindrome (145941149541).

The spelling of 103420125240 in words is "one hundred three billion, four hundred twenty million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 499 555 740 888 998 1110 1480 1497 1996 2220 2495 2994 3992 4440 4990 5988 7485 9980 11976 14970 18463 19960 29940 36926 46679 55389 59880 73852 92315 93358 110778 140037 147704 184630 186716 221556 233395 276945 280074 369260 373432 443112 466790 553890 560148 700185 738520 933580 1107780 1120296 1400370 1727123 1867160 2215560 2800740 3454246 5181369 5601480 6908492 8635615 10362738 13816984 17271230 20725476 23292821 25906845 34542460 41450952 46585642 51813690 69084920 69878463 93171284 103627380 116464105 139756926 186342568 207254760 232928210 279513852 349392315 465856420 559027704 698784630 861834377 931712840 1397569260 1723668754 2585503131 2795138520 3447337508 4309171885 5171006262 6894675016 8618343770 10342012524 12927515655 17236687540 20684025048 25855031310 34473375080 51710062620 103420125240