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300550029381 = 327217194349069
BaseRepresentation
bin1000101111110100010…
…11011000000001000101
31001201202211220102012200
410113322023120001011
514411011301420011
6350023142105113
730466624045500
oct4277213300105
91051684812180
10300550029381
1110650a724538
124a2b971b199
1322459a7c594
14107921dc137
157c40b0a856
hex45fa2d8045

300550029381 has 144 divisors (see below), whose sum is σ = 575956180800. Its totient is φ = 149568685056.

The previous prime is 300550029331. The next prime is 300550029389. The reversal of 300550029381 is 183920055003.

300550029381 is a `hidden beast` number, since 3 + 0 + 0 + 550 + 0 + 29 + 3 + 81 = 666.

It is not a de Polignac number, because 300550029381 - 211 = 300550027333 is a prime.

It is a super-2 number, since 2×3005500293812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300550029389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6100515 + ... + 6149583.

It is an arithmetic number, because the mean of its divisors is an integer number (3999695700).

Almost surely, 2300550029381 is an apocalyptic number.

It is an amenable number.

300550029381 is a deficient number, since it is larger than the sum of its proper divisors (275406151419).

300550029381 is a wasteful number, since it uses less digits than its factorization.

300550029381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49168 (or 49158 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 300550029381 in words is "three hundred billion, five hundred fifty million, twenty-nine thousand, three hundred eighty-one".

Divisors: 1 3 7 9 17 19 21 43 49 51 57 63 119 129 133 147 153 171 301 323 357 387 399 441 731 817 833 903 931 969 1071 1197 2107 2193 2261 2451 2499 2709 2793 2907 5117 5719 6321 6579 6783 7353 7497 8379 13889 15351 15827 17157 18963 20349 35819 40033 41667 46053 47481 49069 51471 97223 107457 120099 125001 142443 147207 291669 322371 343483 360297 441621 680561 834173 875007 932311 1030449 2041683 2109967 2404381 2502519 2796933 3091347 5839211 6125049 6329901 6526177 7213143 7507557 8390799 14769769 15849287 17517633 18989703 19578531 21639429 35869439 40089373 40874477 44309307 45683239 47547861 52552899 58735593 103388383 107608317 110945009 120268119 122623431 132927921 137049717 142643583 251086073 280625611 310165149 322824951 332835027 360804357 367870293 411149151 681519341 753258219 776615063 841876833 930495447 998505081 1757602511 1964379277 2044558023 2259774657 2329845189 2525630499 4770635387 5272807533 5893137831 6133674069 6989535567 14311906161 15818422599 17679413493 33394447709 42935718483 100183343127 300550029381