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213301414200 = 23352750786051
BaseRepresentation
bin1100011010100111000…
…0010100100100111000
3202101120100020112111210
43012221300110210320
511443320130223300
6241553405323120
721260544051150
oct3065160244470
9671510215453
10213301414200
11825080a65a6
123540a2664a0
1317163c95574
14a4768ab760
1558360b4050
hex31a9c14938

213301414200 has 96 divisors (see below), whose sum is σ = 755696453760. Its totient is φ = 48754608000.

The previous prime is 213301414141. The next prime is 213301414201. The reversal of 213301414200 is 2414103312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213301414201) 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, 25388826 + ... + 25397225.

It is an arithmetic number, because the mean of its divisors is an integer number (7871838060).

Almost surely, 2213301414200 is an apocalyptic number.

213301414200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213301414200 is an abundant number, since it is smaller than the sum of its proper divisors (542395039560).

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

213301414200 is a wasteful number, since it uses less digits than its factorization.

213301414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50786077 (or 50786068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213301414200 its reverse (2414103312), we get a palindrome (215715517512).

The spelling of 213301414200 in words is "two hundred thirteen billion, three hundred one million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 50786051 101572102 152358153 203144204 253930255 304716306 355502357 406288408 507860510 609432612 711004714 761790765 1015721020 1066507071 1218865224 1269651275 1422009428 1523581530 1777511785 2031442040 2133014142 2539302550 2844018856 3047163060 3555023570 3808953825 4266028284 5078605100 5332535355 6094326120 7110047140 7617907650 8532056568 8887558925 10157210200 10665070710 14220094280 15235815300 17775117850 21330141420 26662676775 30471630600 35550235700 42660282840 53325353550 71100471400 106650707100 213301414200