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211000101993 = 32317940123873
BaseRepresentation
bin1100010010000010010…
…1100000110001101001
3202011121221220202122100
43010200211200301221
511424112011230433
6240533200244013
721146531163132
oct3044045406151
9664557822570
10211000101993
118153706968a
1234a87610609
1316b88281075
14a2d8dbac89
15574e033b13
hex3120960c69

211000101993 has 48 divisors (see below), whose sum is σ = 319399741440. Its totient is φ = 134065152000.

The previous prime is 211000101967. The next prime is 211000102003. The reversal of 211000101993 is 399101000112.

It is not a de Polignac number, because 211000101993 - 229 = 210463231081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211000101953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8826505 + ... + 8850377.

It is an arithmetic number, because the mean of its divisors is an integer number (6654161280).

Almost surely, 2211000101993 is an apocalyptic number.

It is an amenable number.

211000101993 is a deficient number, since it is larger than the sum of its proper divisors (108399639447).

211000101993 is a wasteful number, since it uses less digits than its factorization.

211000101993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24390 (or 24387 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 211000101993 in words is "two hundred eleven billion, one hundred one thousand, nine hundred ninety-three".

Divisors: 1 3 9 31 79 93 237 279 401 711 1203 2449 3609 7347 12431 22041 23873 31679 37293 71619 95037 111879 214857 285111 740063 982049 1885967 2220189 2946147 5657901 6660567 8838441 9573073 16973703 28719219 58464977 86157657 175394931 296765263 526184793 756272767 890295789 2268818301 2670887367 6806454903 23444455777 70333367331 211000101993