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10100000001132 = 22331929467363437
BaseRepresentation
bin1001001011111001011011…
…1010011000110001101100
31022202112212100212122122000
42102332112322120301230
52310434300000014012
633251513112052300
72061462262336146
oct222762672306154
938675770778560
1010100000001132
11324442776aa58
121171545694090
1358356c968622
1426cbb218dc96
15127ace17cddc
hex92f96e98c6c

10100000001132 has 192 divisors, whose sum is σ = 28574949312000. Its totient is φ = 3072889177344.

The previous prime is 10100000001131. The next prime is 10100000001137. The reversal of 10100000001132 is 23110000000101.

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

It is not an unprimeable number, because it can be changed into a prime (10100000001131) 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 63 ways as a sum of consecutive naturals, for example, 27608518 + ... + 27971954.

It is an arithmetic number, because the mean of its divisors is an integer number (148827861000).

Almost surely, 210100000001132 is an apocalyptic number.

10100000001132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100000001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287474656000).

10100000001132 is an abundant number, since it is smaller than the sum of its proper divisors (18474949310868).

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

10100000001132 is a wasteful number, since it uses less digits than its factorization.

10100000001132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363965 (or 363957 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100000001132 its reverse (23110000000101), we get a palindrome (33210000001233).

The spelling of 10100000001132 in words is "ten trillion, one hundred billion, one thousand, one hundred thirty-two".