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10100022210 = 2325491228559
BaseRepresentation
bin10010110100000001…
…00001101111000010
3222001212222021210200
421122000201233002
5131141101202320
64350114310030
7505200525615
oct113200415702
928055867720
1010100022210
1143132211a3
121b5a588316
13c4c63b105
146bb55c17c
153e1a69290
hex25a021bc2

10100022210 has 48 divisors (see below), whose sum is σ = 26313655680. Its totient is φ = 2687842080.

The previous prime is 10100022199. The next prime is 10100022211. The reversal of 10100022210 is 1222000101.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10100022192 and 10100022201.

It is not an unprimeable number, because it can be changed into a prime (10100022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70090 + ... + 158469.

It is an arithmetic number, because the mean of its divisors is an integer number (548201160).

Almost surely, 210100022210 is an apocalyptic number.

10100022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100022210 is an abundant number, since it is smaller than the sum of its proper divisors (16213633470).

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

10100022210 is a wasteful number, since it uses less digits than its factorization.

10100022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229063 (or 229060 counting only the distinct ones).

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

Adding to 10100022210 its reverse (1222000101), we get a palindrome (11322022311).

The spelling of 10100022210 in words is "ten billion, one hundred million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 491 982 1473 2455 2946 4419 4910 7365 8838 14730 22095 44190 228559 457118 685677 1142795 1371354 2057031 2285590 3428385 4114062 6856770 10285155 20570310 112222469 224444938 336667407 561112345 673334814 1010002221 1122224690 1683337035 2020004442 3366674070 5050011105 10100022210