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103425251120 = 24561199106501
BaseRepresentation
bin110000001010010100…
…0000001011100110000
3100212221212212010110022
41200110220001130300
53143303331013440
6115302442023012
710320655062242
oct1402450013460
9325855763408
10103425251120
113a953948a54
1218064aa7a68
1399a3336b59
145011d22092
152a54ccdcb5
hex1814a01730

103425251120 has 80 divisors (see below), whose sum is σ = 245636212800. Its totient is φ = 40487040000.

The previous prime is 103425251029. The next prime is 103425251123. The reversal of 103425251120 is 21152524301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1034252511202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103425251120.

It is not an unprimeable number, because it can be changed into a prime (103425251123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917870 + ... + 1024370.

It is an arithmetic number, because the mean of its divisors is an integer number (3070452660).

Almost surely, 2103425251120 is an apocalyptic number.

103425251120 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 103425251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122818106400).

103425251120 is an abundant number, since it is smaller than the sum of its proper divisors (142210961680).

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

103425251120 is a wasteful number, since it uses less digits than its factorization.

103425251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106774 (or 106768 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 103425251120 its reverse (21152524301), we get a palindrome (124577775421).

The spelling of 103425251120 in words is "one hundred three billion, four hundred twenty-five million, two hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 199 244 305 398 488 610 796 976 995 1220 1592 1990 2440 3184 3980 4880 7960 12139 15920 24278 48556 60695 97112 106501 121390 194224 213002 242780 426004 485560 532505 852008 971120 1065010 1704016 2130020 4260040 6496561 8520080 12993122 21193699 25986244 32482805 42387398 51972488 64965610 84774796 103944976 105968495 129931220 169549592 211936990 259862440 339099184 423873980 519724880 847747960 1292815639 1695495920 2585631278 5171262556 6464078195 10342525112 12928156390 20685050224 25856312780 51712625560 103425251120