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300112130322 = 23331509352217
BaseRepresentation
bin1000101111000000001…
…00111011000100010010
31001200122022220211122000
410113200010323010102
514404112201132242
6345511500254430
730453026006034
oct4274004730422
91050568824560
10300112130322
11106305523494
124a1b6b41416
13223ba12b804
141074ddadc54
157c1745ca4c
hex45e013b112

300112130322 has 64 divisors (see below), whose sum is σ = 689783731200. Its totient is φ = 96619893120.

The previous prime is 300112130287. The next prime is 300112130347. The reversal of 300112130322 is 223031211003.

300112130322 is a `hidden beast` number, since 300 + 1 + 12 + 1 + 30 + 322 = 666.

It is a super-2 number, since 2×3001121303222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300112130295 and 300112130304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 675958 + ... + 1028174.

It is an arithmetic number, because the mean of its divisors is an integer number (10777870800).

Almost surely, 2300112130322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300112130322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344891865600).

300112130322 is an abundant number, since it is smaller than the sum of its proper divisors (389671600878).

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

300112130322 is a wasteful number, since it uses less digits than its factorization.

300112130322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352768 (or 352762 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300112130322 its reverse (223031211003), we get a palindrome (523143341325).

The spelling of 300112130322 in words is "three hundred billion, one hundred twelve million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 509 558 837 1018 1527 1674 3054 4581 9162 13743 15779 27486 31558 47337 94674 142011 284022 352217 426033 704434 852066 1056651 2113302 3169953 6339906 9509859 10918727 19019718 21837454 32756181 65512362 98268543 179278453 196537086 294805629 358556906 537835359 589611258 1075670718 1613506077 3227012154 4840518231 5557632043 9681036462 11115264086 16672896129 33345792258 50018688387 100037376774 150056065161 300112130322