Search a number
-
+
301000132122 = 23371996813349
BaseRepresentation
bin1000110000101010000…
…00011000011000011010
31001202221012212000002120
410120111000120120122
514412422013211442
6350135541242110
730514030623414
oct4302500303032
91052835760076
10301000132122
11106720800378
124a404403336
13224cc0b3c71
14107d5cc59b4
157c6a3b94ec
hex461501861a

301000132122 has 32 divisors (see below), whose sum is σ = 621377520000. Its totient is φ = 97131089088.

The previous prime is 301000132109. The next prime is 301000132127. The reversal of 301000132122 is 221231000103.

It is a super-2 number, since 2×3010001321222 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (301000132127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3362497 + ... + 3450852.

It is an arithmetic number, because the mean of its divisors is an integer number (19418047500).

Almost surely, 2301000132122 is an apocalyptic number.

301000132122 is an abundant number, since it is smaller than the sum of its proper divisors (320377387878).

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

301000132122 is a wasteful number, since it uses less digits than its factorization.

301000132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813590.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 301000132122 its reverse (221231000103), we get a palindrome (522231132225).

The spelling of 301000132122 in words is "three hundred one billion, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 199 222 398 597 1194 7363 14726 22089 44178 6813349 13626698 20440047 40880094 252093913 504187826 756281739 1355856451 1512563478 2711712902 4067569353 8135138706 50166688687 100333377374 150500066061 301000132122