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1010122102132 = 22111310117484631
BaseRepresentation
bin11101011001011111111…
…10000001010101110100
310120120022010221111020121
432230233332001111310
5113022212224232012
62052013234141324
7132656524125613
oct16545776012564
93516263844217
101010122102132
1135a432658060
12143927a21844
137433c3679a0
1436c668b187a
151b4201e2a07
hexeb2ff81574

1010122102132 has 48 divisors (see below), whose sum is σ = 2097316577664. Its totient is φ = 419631120000.

The previous prime is 1010122102051. The next prime is 1010122102133. The reversal of 1010122102132 is 2312012210101.

It is a super-2 number, since 2×10101221021322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010122102133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8684544 + ... + 8800087.

It is an arithmetic number, because the mean of its divisors is an integer number (43694095368).

Almost surely, 21010122102132 is an apocalyptic number.

It is an amenable number.

1010122102132 is an abundant number, since it is smaller than the sum of its proper divisors (1087194475532).

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

1010122102132 is a wasteful number, since it uses less digits than its factorization.

1010122102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484760 (or 17484758 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1010122102132 its reverse (2312012210101), we get a palindrome (3322134312233).

The spelling of 1010122102132 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 101 143 202 286 404 572 1111 1313 2222 2626 4444 5252 14443 28886 57772 17484631 34969262 69938524 192330941 227300203 384661882 454600406 769323764 909200812 1765947731 2500302233 3531895462 5000604466 7063790924 10001208932 19425425041 22957320503 38850850082 45914641006 77701700164 91829282012 252530525533 505061051066 1010122102132