Search a number
-
+
211212011020100 = 22523116791382991
BaseRepresentation
bin110000000001100010100000…
…111000111001111101000100
31000200211200010012102110110112
4300001202200320321331010
5210140444144310120400
62025113243001012152
762326364346450356
oct6001424070717504
91020750105373415
10211212011020100
1161331568a31652
121b832377184058
1390b129022488c
143a22a045270d6
1519641983b8835
hexc018a0e39f44

211212011020100 has 36 divisors (see below), whose sum is σ = 459803794090368. Its totient is φ = 84213149076000.

The previous prime is 211212011020097. The next prime is 211212011020121. The reversal of 211212011020100 is 1020110212112.

It is a super-2 number, since 2×2112120110201002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3395660396 + ... + 3395722595.

Almost surely, 2211212011020100 is an apocalyptic number.

211212011020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212011020100 is an abundant number, since it is smaller than the sum of its proper divisors (248591783070268).

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

211212011020100 is a wasteful number, since it uses less digits than its factorization.

211212011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791383316 (or 6791383309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212011020100 its reverse (1020110212112), we get a palindrome (212232121232212).

The spelling of 211212011020100 in words is "two hundred eleven trillion, two hundred twelve billion, eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 311 622 1244 1555 3110 6220 7775 15550 31100 6791382991 13582765982 27165531964 33956914955 67913829910 135827659820 169784574775 339569149550 679138299100 2112120110201 4224240220402 8448480440804 10560600551005 21121201102010 42242402204020 52803002755025 105606005510050 211212011020100