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203214040330104 = 233383103910909537
BaseRepresentation
bin101110001101001001110100…
…101011111110111101111000
3222122112001221212112200121000
4232031021310223332331320
5203113424323311030404
62000111124044045000
760542505234335616
oct5615116453767570
9878461855480530
10203214040330104
1159828654a95021
121a9602aab33760
138951003b9a98b
14382787d5b26b6
1518760e46a5339
hexb8d274afef78

203214040330104 has 128 divisors (see below), whose sum is σ = 571834343808000. Its totient is φ = 66857476764672.

The previous prime is 203214040330099. The next prime is 203214040330127. The reversal of 203214040330104 is 401033040412302.

203214040330104 is a `hidden beast` number, since 2 + 0 + 3 + 214 + 0 + 403 + 30 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 13172424 + ... + 24081960.

It is an arithmetic number, because the mean of its divisors is an integer number (4467455811000).

Almost surely, 2203214040330104 is an apocalyptic number.

203214040330104 is a gapful number since it is divisible by the number (24) 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 203214040330104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285917171904000).

203214040330104 is an abundant number, since it is smaller than the sum of its proper divisors (368620303477896).

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

203214040330104 is a wasteful number, since it uses less digits than its factorization.

203214040330104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10910674 (or 10910664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 203214040330104 its reverse (401033040412302), we get a palindrome (604247080742406).

The spelling of 203214040330104 in words is "two hundred three trillion, two hundred fourteen billion, forty million, three hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1039 1494 1992 2078 2241 2988 3117 4156 4482 5976 6234 8312 8964 9351 12468 17928 18702 24936 28053 37404 56106 74808 86237 112212 172474 224424 258711 344948 517422 689896 776133 1034844 1552266 2069688 2328399 3104532 4656798 6209064 9313596 10909537 18627192 21819074 32728611 43638148 65457222 87276296 98185833 130914444 196371666 261828888 294557499 392743332 589114998 785486664 905491571 1178229996 1810983142 2356459992 2716474713 3621966284 5432949426 7243932568 8149424139 10865898852 11335008943 16298848278 21731797704 22670017886 24448272417 32597696556 34005026829 45340035772 48896544834 65195393112 68010053658 90680071544 97793089668 102015080487 136020107316 195586179336 204030160974 272040214632 306045241461 408060321948 612090482922 816120643896 940805742269 1224180965844 1881611484538 2448361931688 2822417226807 3763222969076 5644834453614 7526445938152 8467251680421 11289668907228 16934503360842 22579337814456 25401755041263 33869006721684 50803510082526 67738013443368 101607020165052 203214040330104