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103444445120030 = 25741671673221321
BaseRepresentation
bin10111100001010100001001…
…011001111100011000011110
3111120021012012020111012120022
4113201110021121330120132
5102024313210422320110
61004001415543352142
730534420532450640
oct2741241131743036
9446235166435508
10103444445120030
112aa625a752a803
12b728287452652
134594a00266871
141b78a4897a890
15be5c62791755
hex5e150967c61e

103444445120030 has 128 divisors (see below), whose sum is σ = 222568713529344. Its totient is φ = 33881070643200.

The previous prime is 103444445119973. The next prime is 103444445120033. The reversal of 103444445120030 is 30021544444301.

It is a happy number.

It is a super-2 number, since 2×1034444451200302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103444445120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30501770 + ... + 33723090.

It is an arithmetic number, because the mean of its divisors is an integer number (1738818074448).

Almost surely, 2103444445120030 is an apocalyptic number.

103444445120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103444445120030 is an abundant number, since it is smaller than the sum of its proper divisors (119124268409314).

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

103444445120030 is a wasteful number, since it uses less digits than its factorization.

103444445120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221610.

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 103444445120030 its reverse (30021544444301), we get a palindrome (133465989564331).

The spelling of 103444445120030 in words is "one hundred three trillion, four hundred forty-four billion, four hundred forty-five million, one hundred twenty thousand, thirty".

Divisors: 1 2 5 7 10 14 35 41 67 70 82 134 167 205 287 334 335 410 469 574 670 835 938 1169 1435 1670 2338 2345 2747 2870 4690 5494 5845 6847 11189 11690 13694 13735 19229 22378 27470 34235 38458 47929 55945 68470 78323 95858 96145 111890 156646 192290 239645 391615 458749 479290 783230 917498 2293745 3211243 3221321 4587490 6422486 6442642 16056215 16106605 22549247 32112430 32213210 45098494 112746235 132074161 215828507 225492470 264148322 431657014 537960607 660370805 924519127 1075921214 1079142535 1320741610 1510799549 1849038254 2158285070 2689803035 3021599098 3765724249 4622595635 5379606070 7531448498 7553997745 8848968787 9245191270 15107995490 17697937574 18828621245 22056384887 36043360669 37657242490 44112769774 44244843935 61942781509 72086721338 88489687870 110281924435 123885563018 154394694209 180216803345 220563848870 252303524683 308789388418 309713907545 360433606690 504607049366 619427815090 771973471045 1261517623415 1477777787429 1543946942090 2523035246830 2955555574858 7388888937145 10344444512003 14777777874290 20688889024006 51722222560015 103444445120030