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214140515100 = 223521163613759
BaseRepresentation
bin1100011101101111000…
…1001111001100011100
3202110201211011021112220
43013123301033030130
512002024432440400
6242212542225340
721320413226361
oct3073361171434
9673654137486
10214140515100
11828a8813516
1235603285250
1317268a88985
14a5160d4468
155884ab17a0
hex31dbc4f31c

214140515100 has 72 divisors (see below), whose sum is σ = 620113643520. Its totient is φ = 57054943680.

The previous prime is 214140515089. The next prime is 214140515101. The reversal of 214140515100 is 1515041412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214140515101) 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, 42021 + ... + 655779.

Almost surely, 2214140515100 is an apocalyptic number.

214140515100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214140515100 is an abundant number, since it is smaller than the sum of its proper divisors (405973128420).

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

214140515100 is a wasteful number, since it uses less digits than its factorization.

214140515100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614939 (or 614932 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 214140515100 its reverse (1515041412), we get a palindrome (215655556512).

The spelling of 214140515100 in words is "two hundred fourteen billion, one hundred forty million, five hundred fifteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1163 2326 3489 4652 5815 6978 11630 13956 17445 23260 29075 34890 58150 69780 87225 116300 174450 348900 613759 1227518 1841277 2455036 3068795 3682554 6137590 7365108 9206385 12275180 15343975 18412770 30687950 36825540 46031925 61375900 92063850 184127700 713801717 1427603434 2141405151 2855206868 3569008585 4282810302 7138017170 8565620604 10707025755 14276034340 17845042925 21414051510 35690085850 42828103020 53535128775 71380171700 107070257550 214140515100