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1031010121332 = 2232171684657061
BaseRepresentation
bin11110000000011001111…
…11011111011001110100
310122120012212102210211100
433000030333133121310
5113343002042340312
62105350045010100
7134326251302022
oct17001477373164
93576185383740
101031010121332
11368281376044
12147997253930
13762baa02969
1437c88ab5712
151bc43dc05dc
hexf00cfdf674

1031010121332 has 36 divisors (see below), whose sum is σ = 2759468267556. Its totient is φ = 323454155520.

The previous prime is 1031010121307. The next prime is 1031010121363. The reversal of 1031010121332 is 2331210101301.

1031010121332 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 0 + 1 + 21 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 879592633956 + 151417487376 = 937866^2 + 389124^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10310101213322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 842327919 + ... + 842329142.

It is an arithmetic number, because the mean of its divisors is an integer number (76651896321).

Almost surely, 21031010121332 is an apocalyptic number.

1031010121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031010121332 is an abundant number, since it is smaller than the sum of its proper divisors (1728458146224).

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

1031010121332 is a wasteful number, since it uses less digits than its factorization.

1031010121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684657088 (or 1684657083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031010121332 its reverse (2331210101301), we get a palindrome (3362220222633).

The spelling of 1031010121332 in words is "one trillion, thirty-one billion, ten million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1684657061 3369314122 5053971183 6738628244 10107942366 15161913549 20215884732 28639170037 30323827098 57278340074 60647654196 85917510111 114556680148 171835020222 257752530333 343670040444 515505060666 1031010121332