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300130022332 = 227172476171279
BaseRepresentation
bin1000101111000010010…
…01001011001110111100
31001200200120120211212001
410113201021023032330
514404131241203312
6345513335552044
730453334045240
oct4274111131674
91050616524761
10300130022332
11106314633a78
124a200b2b624
13223c0a545ba
141075250a420
157c18ce4057
hex45e124b3bc

300130022332 has 144 divisors (see below), whose sum is σ = 652778864640. Its totient is φ = 118200563712.

The previous prime is 300130022317. The next prime is 300130022371. The reversal of 300130022332 is 233220031003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234659269 + ... + 234660547.

It is an arithmetic number, because the mean of its divisors is an integer number (4533186560).

Almost surely, 2300130022332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300130022332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326389432320).

300130022332 is an abundant number, since it is smaller than the sum of its proper divisors (352648842308).

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

300130022332 is a wasteful number, since it uses less digits than its factorization.

300130022332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 300130022332 its reverse (233220031003), we get a palindrome (533350053335).

The spelling of 300130022332 in words is "three hundred billion, one hundred thirty million, twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 289 329 476 578 617 658 799 1156 1234 1279 1316 1598 2023 2468 2558 3196 4046 4319 5116 5593 8092 8638 8953 10489 11186 13583 17276 17906 20978 21743 22372 27166 28999 35812 41956 43486 54332 57998 60113 73423 86972 95081 115996 120226 146846 152201 178313 190162 202993 240452 293692 304402 356626 369631 380324 405986 420791 492983 608804 713252 739262 789143 811972 841582 985966 1021921 1248191 1478524 1578286 1683164 1971932 2043842 2496382 2587417 3156572 3450881 4087684 4992764 5174834 5524001 6901762 7153447 8380711 10349668 11048002 13415431 13803524 14306894 16761422 17372657 22096004 26830862 28613788 33522844 34745314 37089721 53661724 58664977 69490628 74179442 93908017 117329954 121608599 148358884 187816034 228062327 234659908 243217198 259628047 375632068 456124654 486434396 519256094 630525257 912249308 1038512188 1261050514 1596436289 2522101028 3192872578 4413676799 6385745156 8827353598 10718929369 17654707196 21437858738 42875717476 75032505583 150065011166 300130022332