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1132212000121 = 6150948777477
BaseRepresentation
bin10000011110011101000…
…110000001010101111001
311000020102210121220211021
4100132131012001111321
5122022232233000441
62224044144302441
7144541161132226
oct20363506012571
94006383556737
101132212000121
113a71941804a4
1216351b611a21
13829c8513a87
143cb295d494d
151e6b88b73d1
hex1079d181579

1132212000121 has 16 divisors (see below), whose sum is σ = 1153424368080. Its totient is φ = 1111086708480.

The previous prime is 1132212000089. The next prime is 1132212000131. The reversal of 1132212000121 is 1210002122311.

It can be written as a sum of positive squares in 8 ways, for example, as 1794369600 + 1130417630521 = 42360^2 + 1063211^2 .

It is a cyclic number.

It is not a de Polignac number, because 1132212000121 - 25 = 1132212000089 is a prime.

It is a super-3 number, since 3×11322120001213 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1132212000095 and 1132212000104.

It is not an unprimeable number, because it can be changed into a prime (1132212000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151422235 + ... + 151429711.

It is an arithmetic number, because the mean of its divisors is an integer number (72089023005).

Almost surely, 21132212000121 is an apocalyptic number.

It is an amenable number.

1132212000121 is a deficient number, since it is larger than the sum of its proper divisors (21212367959).

1132212000121 is an equidigital number, since it uses as much as digits as its factorization.

1132212000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12924.

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

Adding to 1132212000121 its reverse (1210002122311), we get a palindrome (2342214122432).

The spelling of 1132212000121 in words is "one trillion, one hundred thirty-two billion, two hundred twelve million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 61 509 4877 7477 31049 297497 456097 2482393 3805793 36465329 151425973 232153373 2224385069 18560852461 1132212000121