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103024564240 = 245132331138937
BaseRepresentation
bin101111111110010111…
…1100001100000010000
3100211220221220010101111
41133330233201200100
53141443242023430
6115155005543104
710305021230023
oct1377457414020
9324827803344
10103024564240
113a768753a74
1217b72874a94
13993b314a20
144db4a1d1ba
152a2ea31c2a
hex17fcbe1810

103024564240 has 160 divisors (see below), whose sum is σ = 277858215936. Its totient is φ = 35211939840.

The previous prime is 103024564231. The next prime is 103024564243. The reversal of 103024564240 is 42465420301.

It is a super-2 number, since 2×1030245642402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (103024564243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672052 + ... + 810988.

Almost surely, 2103024564240 is an apocalyptic number.

103024564240 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 103024564240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138929107968).

103024564240 is an abundant number, since it is smaller than the sum of its proper divisors (174833651696).

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

103024564240 is a wasteful number, since it uses less digits than its factorization.

103024564240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139017 (or 139011 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 103024564240 its reverse (42465420301), we get a palindrome (145489984541).

The spelling of 103024564240 in words is "one hundred three billion, twenty-four million, five hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 31 40 46 52 62 65 80 92 104 115 124 130 155 184 208 230 248 260 299 310 368 403 460 496 520 598 620 713 806 920 1040 1196 1240 1426 1495 1612 1840 2015 2392 2480 2852 2990 3224 3565 4030 4784 5704 5980 6448 7130 8060 9269 11408 11960 14260 16120 18538 23920 28520 32240 37076 46345 57040 74152 92690 138937 148304 185380 277874 370760 555748 694685 741520 1111496 1389370 1806181 2222992 2778740 3195551 3612362 4307047 5557480 6391102 7224724 8614094 9030905 11114960 12782204 14449448 15977755 17228188 18061810 21535235 25564408 28898896 31955510 34456376 36123620 41542163 43070470 51128816 55991611 63911020 68912752 72247240 83084326 86140940 99062081 111983222 127822040 144494480 166168652 172281880 198124162 207710815 223966444 255644080 279958055 332337304 344563760 396248324 415421630 447932888 495310405 559916110 664674608 792496648 830843260 895865776 990620810 1119832220 1287807053 1584993296 1661686520 1981241620 2239664440 2575614106 3323373040 3962483240 4479328880 5151228212 6439035265 7924966480 10302456424 12878070530 20604912848 25756141060 51512282120 103024564240