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100103351363414 = 27178333146732783
BaseRepresentation
bin10110110000101100100000…
…101100101110011101010110
3111010102210020200010202212022
4112300230200230232131112
5101110043130422112124
6552522502245053142
730041141236216460
oct2660544054563526
9433383220122768
10100103351363414
1129994658179203
12b2888499b71b2
1343b192307c859
141aa1056dbd130
15b88db7d55c5e
hex5b0b20b2e756

100103351363414 has 128 divisors (see below), whose sum is σ = 184845512097792. Its totient is φ = 39684452037120.

The previous prime is 100103351363387. The next prime is 100103351363417. The reversal of 100103351363414 is 414363153301001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100103351363417) 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, 3053497667 + ... + 3053530449.

It is an arithmetic number, because the mean of its divisors is an integer number (1444105563264).

Almost surely, 2100103351363414 is an apocalyptic number.

100103351363414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100103351363414 is a deficient number, since it is larger than the sum of its proper divisors (84742160734378).

100103351363414 is a wasteful number, since it uses less digits than its factorization.

100103351363414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33690.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 100103351363414 in words is "one hundred trillion, one hundred three billion, three hundred fifty-one million, three hundred sixty-three thousand, four hundred fourteen".

Divisors: 1 2 7 14 17 34 83 119 166 238 331 467 581 662 934 1162 1411 2317 2822 3269 4634 5627 6538 7939 9877 11254 15878 19754 27473 32783 38761 39389 54946 55573 65566 77522 78778 111146 154577 192311 229481 271327 309154 384622 458962 467041 542654 557311 658937 934082 1082039 1114622 1317874 2164078 2627809 2720989 3269287 3901177 4612559 5255618 5441978 6538574 7802354 9225118 10851173 12829891 15309661 18394663 19046923 21702346 25659782 30619322 36789326 38093846 46256813 75958211 89809237 92513626 107167627 151916422 179618474 184469941 214335254 218108147 260264237 323797691 368939882 436216294 520528474 647595382 900647359 1270701863 1291289587 1526757029 1801294718 1821849659 2541403726 2582579174 3053514058 3643699318 5067497791 6304531513 8894913041 10134995582 12609063026 15311005103 17789826082 21601931671 30622010206 35472484537 43203863342 70944969074 86147462447 107177035721 151213521697 172294924894 214354071442 302427043394 420602316653 603032237129 841204633306 1206064474258 2944216216571 5888432433142 7150239383101 14300478766202 50051675681707 100103351363414