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102212001020 = 22510946886239
BaseRepresentation
bin101111100110001001…
…1110101110011111100
3100202211022220122012102
41133030103311303330
53133312233013040
6114542221524232
710245623450033
oct1371423656374
9322738818172
10102212001020
113a391012218
1217986713678
13983bb8369c
144d38b4371a
1529d3527515
hex17cc4f5cfc

102212001020 has 24 divisors (see below), whose sum is σ = 216614428800. Its totient is φ = 40509709632.

The previous prime is 102212001007. The next prime is 102212001041. The reversal of 102212001020 is 20100212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102212000992 and 102212001010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23440940 + ... + 23445299.

It is an arithmetic number, because the mean of its divisors is an integer number (9025601200).

Almost surely, 2102212001020 is an apocalyptic number.

102212001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212001020 is an abundant number, since it is smaller than the sum of its proper divisors (114402427780).

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

102212001020 is a wasteful number, since it uses less digits than its factorization.

102212001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46886357 (or 46886355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102212001020 its reverse (20100212201), we get a palindrome (122312213221).

The spelling of 102212001020 in words is "one hundred two billion, two hundred twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 46886239 93772478 187544956 234431195 468862390 937724780 5110600051 10221200102 20442400204 25553000255 51106000510 102212001020