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213423200300 = 225217296764613
BaseRepresentation
bin1100011011000100000…
…0111001100000101100
3202101212211101220122002
43012301000321200230
511444042314402200
6242013435511432
721263553161522
oct3066100714054
9671784356562
10213423200300
118256a918272
1235442bb8578
131718329644b
14a488b30312
155841b1dbd5
hex31b103982c

213423200300 has 144 divisors (see below), whose sum is σ = 514859859360. Its totient is φ = 76417904640.

The previous prime is 213423200201. The next prime is 213423200321. The reversal of 213423200300 is 3002324312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3270794 + ... + 3335406.

It is an arithmetic number, because the mean of its divisors is an integer number (3575415690).

Almost surely, 2213423200300 is an apocalyptic number.

213423200300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213423200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257429929680).

213423200300 is an abundant number, since it is smaller than the sum of its proper divisors (301436659060).

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

213423200300 is a wasteful number, since it uses less digits than its factorization.

213423200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64740 (or 64733 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213423200300 its reverse (3002324312), we get a palindrome (216425524612).

The spelling of 213423200300 in words is "two hundred thirteen billion, four hundred twenty-three million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 67 68 85 100 116 134 145 170 268 290 335 340 425 493 580 670 725 850 986 1139 1340 1450 1675 1700 1943 1972 2278 2465 2900 3350 3886 4556 4930 5695 6700 7772 9715 9860 11390 12325 19430 22780 24650 28475 33031 38860 48575 49300 56950 64613 66062 97150 113900 129226 132124 165155 194300 258452 323065 330310 646130 660620 825775 1098421 1292260 1615325 1651550 1873777 2196842 3230650 3303100 3747554 4329071 4393684 5492105 6461300 7495108 8658142 9368885 10984210 17316284 18737770 21645355 21968420 27460525 31854209 37475540 43290710 46844425 54921050 63708418 73594207 86581420 93688850 108226775 109842100 125543059 127416836 147188414 159271045 187377700 216453550 251086118 294376828 318542090 367971035 432907100 502172236 627715295 637084180 735942070 796355225 1255430590 1471884140 1592710450 1839855175 2134232003 2510861180 3138576475 3185420900 3679710350 4268464006 6277152950 7359420700 8536928012 10671160015 12554305900 21342320030 42684640060 53355800075 106711600150 213423200300