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10101210012 = 22322337329717
BaseRepresentation
bin10010110100001010…
…00011101110011100
3222001222012122011100
421122011003232130
5131141402210022
64350155553100
7505213603605
oct113205035634
928058178140
1010101210012
114313962653
121b5aa5b790
13c4c96595a
146bb78adac
153e1c011ac
hex25a143b9c

10101210012 has 72 divisors (see below), whose sum is σ = 27363956256. Its totient is φ = 3133620864.

The previous prime is 10101210001. The next prime is 10101210013. The reversal of 10101210012 is 21001210101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10101209976 and 10101210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101210013) 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, 134223 + ... + 195494.

It is an arithmetic number, because the mean of its divisors is an integer number (380054948).

Almost surely, 210101210012 is an apocalyptic number.

10101210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101210012 is an abundant number, since it is smaller than the sum of its proper divisors (17262746244).

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

10101210012 is a wasteful number, since it uses less digits than its factorization.

10101210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329787 (or 329782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101210012 its reverse (21001210101), we get a palindrome (31102420113).

It can be divided in two parts, 10101 and 210012, that multiplied together give a palindrome (2121331212).

The spelling of 10101210012 in words is "ten billion, one hundred one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 37 46 69 74 92 111 138 148 207 222 276 333 414 444 666 828 851 1332 1702 2553 3404 5106 7659 10212 15318 30636 329717 659434 989151 1318868 1978302 2967453 3956604 5934906 7583491 11869812 12199529 15166982 22750473 24399058 30333964 36598587 45500946 48798116 68251419 73197174 91001892 109795761 136502838 146394348 219591522 273005676 280589167 439183044 561178334 841767501 1122356668 1683535002 2525302503 3367070004 5050605006 10101210012