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212030021200 = 245219220712641
BaseRepresentation
bin1100010101110111111…
…0010101111001010000
3202021021201220002012011
43011131332111321100
511433214141134300
6241223311112304
721214205305054
oct3053576257120
9667251802164
10212030021200
1181a15468188
1235114512694
1316cc076550a
14a395ab5c64
1557ae674eba
hex315df95e50

212030021200 has 120 divisors (see below), whose sum is σ = 536498161920. Its totient is φ = 80305459200.

The previous prime is 212030021149. The next prime is 212030021249. The reversal of 212030021200 is 2120030212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16766880 + ... + 16779520.

It is an arithmetic number, because the mean of its divisors is an integer number (4470818016).

Almost surely, 2212030021200 is an apocalyptic number.

212030021200 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 212030021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268249080960).

212030021200 is an abundant number, since it is smaller than the sum of its proper divisors (324468140720).

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

212030021200 is a wasteful number, since it uses less digits than its factorization.

212030021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14874 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212030021200 its reverse (2120030212), we get a palindrome (214150051412).

The spelling of 212030021200 in words is "two hundred twelve billion, thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 2207 3800 4414 7600 8828 11035 12641 17656 22070 25282 35312 41933 44140 50564 55175 63205 83866 88280 101128 110350 126410 167732 176560 202256 209665 220700 240179 252820 316025 335464 419330 441400 480358 505640 632050 670928 838660 882800 960716 1011280 1048325 1200895 1264100 1677320 1921432 2096650 2401790 2528200 3354640 3842864 4193300 4803580 5056400 6004475 8386600 9607160 12008950 16773200 19214320 24017900 27898687 48035800 55797374 96071600 111594748 139493435 223189496 278986870 446378992 530075053 557973740 697467175 1060150106 1115947480 1394934350 2120300212 2231894960 2650375265 2789868700 4240600424 5300750530 5579737400 8481200848 10601501060 11159474800 13251876325 21203002120 26503752650 42406004240 53007505300 106015010600 212030021200