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103444021322200 = 235213260915249583
BaseRepresentation
bin10111100001010011110000…
…001001010010000111011000
3111120021011002201001001020101
4113201103300021102013120
5102024311323424302300
61004001305524105144
730534404165311516
oct2741236011220730
9446234081031211
10103444021322200
112aa623aa290169
12b7281895351b4
134594963512310
141b78a0857d4b6
15be5c3a47bb6a
hex5e14f02521d8

103444021322200 has 96 divisors (see below), whose sum is σ = 259107206702400. Its totient is φ = 38180073461760.

The previous prime is 103444021322149. The next prime is 103444021322227. The reversal of 103444021322200 is 2223120444301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841392 + ... + 14408191.

It is an arithmetic number, because the mean of its divisors is an integer number (2699033403150).

Almost surely, 2103444021322200 is an apocalyptic number.

103444021322200 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 103444021322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129553603351200).

103444021322200 is an abundant number, since it is smaller than the sum of its proper divisors (155663185380200).

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

103444021322200 is a wasteful number, since it uses less digits than its factorization.

103444021322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15252221 (or 15252212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 103444021322200 its reverse (2223120444301), we get a palindrome (105667141766501).

The spelling of 103444021322200 in words is "one hundred three trillion, four hundred forty-four billion, twenty-one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 2609 5218 10436 13045 20872 26090 33917 52180 65225 67834 104360 130450 135668 169585 260900 271336 339170 521800 678340 847925 1356680 1695850 3391700 6783400 15249583 30499166 60998332 76247915 121996664 152495830 198244579 304991660 381239575 396489158 609983320 762479150 792978316 991222895 1524958300 1585956632 1982445790 3049916600 3964891580 4956114475 7929783160 9912228950 19824457900 39648915800 39786162047 79572324094 159144648188 198930810235 318289296376 397861620470 517220106611 795723240940 994654051175 1034440213222 1591446481880 1989308102350 2068880426444 2586100533055 3978616204700 4137760852888 5172201066110 7957232409400 10344402132220 12930502665275 20688804264440 25861005330550 51722010661100 103444021322200