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103121103320001 = 33133153223801859
BaseRepresentation
bin10111011100100111000000…
…101110110111001111000001
3111112010021120222211212202000
4113130213000232313033001
5102004014004422220001
61003153103022414213
730502153033503204
oct2734470056671701
9445107528755660
10103121103320001
112a94846150a688
12b695688a31369
134570380604080
141b671337b593b
15bdc63aca8a86
hex5dc9c0bb73c1

103121103320001 has 128 divisors (see below), whose sum is σ = 173811430195200. Its totient is φ = 59983083912960.

The previous prime is 103121103319987. The next prime is 103121103320003. The reversal of 103121103320001 is 100023301121301.

103121103320001 is a `hidden beast` number, since 10 + 312 + 1 + 10 + 332 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 103121103320001 - 210 = 103121103318977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103121103320003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 128201610 + ... + 129003468.

It is an arithmetic number, because the mean of its divisors is an integer number (1357901798400).

Almost surely, 2103121103320001 is an apocalyptic number.

It is an amenable number.

103121103320001 is a deficient number, since it is larger than the sum of its proper divisors (70690326875199).

103121103320001 is a wasteful number, since it uses less digits than its factorization.

103121103320001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802188 (or 802182 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103121103320001 its reverse (100023301121301), we get a palindrome (203144404441302).

The spelling of 103121103320001 in words is "one hundred three trillion, one hundred twenty-one billion, one hundred three million, three hundred twenty thousand, one".

Divisors: 1 3 9 13 27 31 39 53 93 117 159 223 279 351 403 477 669 689 837 1209 1431 1643 2007 2067 2899 3627 4929 6021 6201 6913 8697 10881 11819 14787 18603 20739 21359 26091 35457 44361 62217 64077 78273 89869 106371 153647 186651 192231 269607 319113 366389 460941 576693 801859 808821 1099167 1382823 2405577 2426463 3297501 4148469 4763057 7216731 9892503 10424167 14289171 21650193 24857629 31272501 42498527 42867513 74572887 93817503 127495581 128602539 178814557 223718661 281452509 323149177 382486743 536443671 552480851 671155983 969447531 1147460229 1317454337 1609331013 1657442553 2324589241 2908342593 3952363011 4827993039 4972327659 5543251267 6973767723 8725027779 9477171521 11857089033 14916982977 16629753801 17126906381 20921303169 28431514563 35571267099 49889261403 51380719143 62763909507 72062266471 85294543689 123203229773 149667784209 154142157429 216186799413 255883631067 293792317151 369609689319 462426472287 648560398239 881376951453 1108829067957 1945681194717 2644130854359 3326487203871 3819300122963 7932392563077 11457900368889 34373701106667 103121103320001