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212111211200200 = 235213174798896181
BaseRepresentation
bin110000001110100111111101…
…011001010111111011001000
31000211000122010000012111001121
4300032213331121113323020
5210300212230031401300
62031042313433325024
762451346356044434
oct6016477531277310
91024018100174047
10212111211200200
116164894aaa3964
121b9586a7566774
139148003091a70
143a543475cd9c4
15197c7755a681a
hexc0e9fd657ec8

212111211200200 has 96 divisors (see below), whose sum is σ = 562334654606760. Its totient is φ = 73711045324800.

The previous prime is 212111211200131. The next prime is 212111211200333. The reversal of 212111211200200 is 2002112111212.

It can be written as a sum of positive squares in 12 ways, for example, as 308653580356 + 211802557619844 = 555566^2 + 14553438^2 .

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, 2399403891 + ... + 2399492290.

Almost surely, 2212111211200200 is an apocalyptic number.

212111211200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111211200200 is an abundant number, since it is smaller than the sum of its proper divisors (350223443406560).

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

212111211200200 is a wasteful number, since it uses less digits than its factorization.

212111211200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798896227 (or 4798896218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212111211200200 its reverse (2002112111212), we get a palindrome (214113323311412).

The spelling of 212111211200200 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 4798896181 9597792362 19195584724 23994480905 38391169448 47988961810 62385650353 81581235077 95977923620 119972404525 124771300706 163162470154 191955847240 239944809050 249542601412 311928251765 326324940308 407906175385 479889618100 499085202824 623856503530 652649880616 815812350770 959779236200 1060556056001 1247713007060 1559641258825 1631624701540 2039530876925 2121112112002 2495426014120 3119282517650 3263249403080 4079061753850 4242224224004 5302780280005 6238565035300 8158123507700 8484448448008 10605560560010 12477130070600 16316247015400 21211121120020 26513901400025 42422242240040 53027802800050 106055605600100 212111211200200