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213314330100 = 223524951143617
BaseRepresentation
bin1100011010101010000…
…1100101110111110100
3202101121020112201210110
43012222201211313310
511443331432030400
6241554550223020
721261061613634
oct3065241456764
9671536481713
10213314330100
11825144184a3
1235412654a70
1317166868401
14a4784b06c4
1558372b5e50
hex31aa865df4

213314330100 has 72 divisors (see below), whose sum is σ = 617318419648. Its totient is φ = 56871936000.

The previous prime is 213314330069. The next prime is 213314330101. The reversal of 213314330100 is 1033413312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213314330101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1413492 + ... + 1557108.

Almost surely, 2213314330100 is an apocalyptic number.

213314330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213314330100 is an abundant number, since it is smaller than the sum of its proper divisors (404004089548).

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

213314330100 is a wasteful number, since it uses less digits than its factorization.

213314330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148585 (or 148578 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213314330100 its reverse (1033413312), we get a palindrome (214347743412).

The spelling of 213314330100 in words is "two hundred thirteen billion, three hundred fourteen million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 4951 9902 14853 19804 24755 29706 49510 59412 74265 99020 123775 143617 148530 247550 287234 297060 371325 430851 495100 574468 718085 742650 861702 1436170 1485300 1723404 2154255 2872340 3590425 4308510 7180850 8617020 10771275 14361700 21542550 43085100 711047767 1422095534 2133143301 2844191068 3555238835 4266286602 7110477670 8532573204 10665716505 14220955340 17776194175 21331433010 35552388350 42662866020 53328582525 71104776700 106657165050 213314330100