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100212000021 = 3273742990991
BaseRepresentation
bin101110101010100011…
…0011100010100010101
3100120122221120001121100
41131111012130110111
53120213233000041
6114011534540313
710145226642240
oct1352506342425
9316587501540
10100212000021
1139555074931
1217508967699
1395b0708a43
144bc9288257
152917b646b6
hex175519c515

100212000021 has 24 divisors (see below), whose sum is σ = 169900400384. Its totient is φ = 55716323040.

The previous prime is 100212000019. The next prime is 100212000089. The reversal of 100212000021 is 120000212001.

It is not a de Polignac number, because 100212000021 - 21 = 100212000019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211999967 and 100212000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212000521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21493165 + ... + 21497826.

Almost surely, 2100212000021 is an apocalyptic number.

It is an amenable number.

100212000021 is a deficient number, since it is larger than the sum of its proper divisors (69688400363).

100212000021 is a wasteful number, since it uses less digits than its factorization.

100212000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42991041 (or 42991038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100212000021 its reverse (120000212001), we get a palindrome (220212212022).

The spelling of 100212000021 in words is "one hundred billion, two hundred twelve million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 42990991 128972973 300936937 386918919 902810811 1590666667 2708432433 4772000001 11134666669 14316000003 33404000007 100212000021