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103332044310420 = 22356173209869819
BaseRepresentation
bin10111011111101011011101…
…110010111000011110010100
3111112212110001211112110112210
4113133223131302320132110
5102020443011320413140
61003434030312113420
730523331246362362
oct2737533562703624
9445773054473483
10103332044310420
112aa19968174922
12b70a538695870
134587229559673
141b734249a6632
15be2d84a12d80
hex5dfaddcb8794

103332044310420 has 96 divisors (see below), whose sum is σ = 289889295292800. Its totient is φ = 27501947275264.

The previous prime is 103332044310409. The next prime is 103332044310427. The reversal of 103332044310420 is 24013440233301.

It is a happy number.

It is a super-2 number, since 2×1033320443104202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332044310427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118362271 + ... + 119232089.

It is an arithmetic number, because the mean of its divisors is an integer number (3019680159300).

Almost surely, 2103332044310420 is an apocalyptic number.

103332044310420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103332044310420 is an abundant number, since it is smaller than the sum of its proper divisors (186557250982380).

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

103332044310420 is a wasteful number, since it uses less digits than its factorization.

103332044310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873657 (or 873655 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103332044310420 its reverse (24013440233301), we get a palindrome (127345484543721).

The spelling of 103332044310420 in words is "one hundred three trillion, three hundred thirty-two billion, forty-four million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 617 1234 1851 2468 3085 3209 3702 6170 6418 7404 9255 9627 12340 12836 16045 18510 19254 32090 37020 38508 48135 64180 96270 192540 869819 1739638 1979953 2609457 3479276 3959906 4349095 5218914 5939859 7919812 8698190 9899765 10437828 11879718 13047285 17396380 19799530 23759436 26094570 29699295 39599060 52189140 59398590 118797180 536678323 1073356646 1610034969 2146713292 2683391615 2791249171 3220069938 5366783230 5582498342 6440139876 8050174845 8373747513 10733566460 11164996684 13956245855 16100349690 16747495026 27912491710 32200699380 33494990052 41868737565 55824983420 83737475130 167474950260 1722200738507 3444401477014 5166602215521 6888802954028 8611003692535 10333204431042 17222007385070 20666408862084 25833011077605 34444014770140 51666022155210 103332044310420