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330100130022 = 231359573712503
BaseRepresentation
bin1001100110110111000…
…00000100000011100110
31011120001020122001200120
410303123200010003212
520402021113130042
6411351303222410
732564121544425
oct4633340040346
91146036561616
10330100130022
11117aa3a10513
1253b85a47a06
1325188b81730
1411d969b32bc
1588beeb5dec
hex4cdb8040e6

330100130022 has 64 divisors (see below), whose sum is σ = 723219356160. Its totient is φ = 99822369024.

The previous prime is 330100130011. The next prime is 330100130029. The reversal of 330100130022 is 220031001033.

It is a junction number, because it is equal to n+sod(n) for n = 330100129983 and 330100130010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330100130029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26395423 + ... + 26407925.

It is an arithmetic number, because the mean of its divisors is an integer number (11300302440).

Almost surely, 2330100130022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100130022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361609678080).

330100130022 is an abundant number, since it is smaller than the sum of its proper divisors (393119226138).

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

330100130022 is a wasteful number, since it uses less digits than its factorization.

330100130022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18317.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 330100130022 its reverse (220031001033), we get a palindrome (550131131055).

The spelling of 330100130022 in words is "three hundred thirty billion, one hundred million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 59 78 118 177 354 767 1534 2301 4602 5737 11474 12503 17211 25006 34422 37509 74581 75018 149162 162539 223743 325078 338483 447486 487617 676966 737677 975234 1015449 1475354 2030898 2213031 4400279 4426062 8800558 9589801 13200837 19179602 26401674 28769403 57538806 71729711 143459422 215189133 430378266 932486243 1864972486 2797458729 4232052949 5594917458 8464105898 12696158847 25392317694 55016688337 110033376674 165050065011 330100130022