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103242003320 = 23529127700801
BaseRepresentation
bin110000000100110110…
…0111111001101111000
3100212111010001011201202
41200021230333031320
53142414423101240
6115232334233332
710313301356141
oct1401154771570
9325433034652
10103242003320
113a86a468195
1218013655848
1399743968c1
144dd5860ac8
152a43b83315
hex1809b3f378

103242003320 has 64 divisors (see below), whose sum is σ = 242197171200. Its totient is φ = 39558758400.

The previous prime is 103242003287. The next prime is 103242003329. The reversal of 103242003320 is 23300242301.

It is a super-2 number, since 2×1032420033202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103242003292 and 103242003301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103242003329) 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 15 ways as a sum of consecutive naturals, for example, 203081 + ... + 497720.

It is an arithmetic number, because the mean of its divisors is an integer number (3784330800).

Almost surely, 2103242003320 is an apocalyptic number.

103242003320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103242003320 is an abundant number, since it is smaller than the sum of its proper divisors (138955167880).

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

103242003320 is a wasteful number, since it uses less digits than its factorization.

103242003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700968 (or 700964 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103242003320 its reverse (23300242301), we get a palindrome (126542245621).

The spelling of 103242003320 in words is "one hundred three billion, two hundred forty-two million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 127 145 232 254 290 508 580 635 1016 1160 1270 2540 3683 5080 7366 14732 18415 29464 36830 73660 147320 700801 1401602 2803204 3504005 5606408 7008010 14016020 20323229 28032040 40646458 81292916 89001727 101616145 162585832 178003454 203232290 356006908 406464580 445008635 712013816 812929160 890017270 1780034540 2581050083 3560069080 5162100166 10324200332 12905250415 20648400664 25810500830 51621001660 103242003320