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211212122000300 = 225219293833250853
BaseRepresentation
bin110000000001100010100111…
…100000010000101110101100
31000200211200101221020211200022
4300001202213200100232230
5210140444411213002200
62025113302003421312
762326400164663661
oct6001424740205654
91020750357224608
10211212122000300
1161331615642723
121b8323a8384838
1390b12aa211135
143a22a15175a68
1519641a2edb885
hexc018a7810bac

211212122000300 has 72 divisors (see below), whose sum is σ = 499089261190800. Its totient is φ = 77278337176320.

The previous prime is 211212122000291. The next prime is 211212122000339. The reversal of 211212122000300 is 3000221212112.

It is a super-2 number, since 2×2112121220003002 (a number of 29 digits) contains 22 as substring.

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, 1916570327 + ... + 1916680526.

Almost surely, 2211212122000300 is an apocalyptic number.

211212122000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212122000300 is an abundant number, since it is smaller than the sum of its proper divisors (287877139190500).

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

211212122000300 is a wasteful number, since it uses less digits than its factorization.

211212122000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833250915 (or 3833250908 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211212122000300 its reverse (3000221212112), we get a palindrome (214212343212412).

The spelling of 211212122000300 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 11020 13775 27550 55100 3833250853 7666501706 15333003412 19166254265 38332508530 72831766207 76665017060 95831271325 111164274737 145663532414 191662542650 222328549474 291327064828 364158831035 383325085300 444657098948 555821373685 728317662070 1111642747370 1456635324140 1820794155175 2112121220003 2223285494740 2779106868425 3641588310350 4224242440006 5558213736850 7283176620700 8448484880012 10560606100015 11116427473700 21121212200030 42242424400060 52803030500075 105606061000150 211212122000300