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10011132201021 = 373577106915773
BaseRepresentation
bin1001000110101110010111…
…1110101000100000111101
31022110001111000102122202220
42101223211332220200331
52303010244320413041
633143014534435553
72052165121446000
oct221534576504075
938401430378686
1010011132201021
11320a774157456
121158283b02bb9
1357807958c413
142687817b3537
1512562c3e7d66
hex91ae5fa883d

10011132201021 has 64 divisors (see below), whose sum is σ = 15608940864000. Its totient is φ = 5705028661248.

The previous prime is 10011132200977. The next prime is 10011132201137. The reversal of 10011132201021 is 12010223111001.

It is not a de Polignac number, because 10011132201021 - 26 = 10011132200957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011132201821) 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, 634692691 + ... + 634708463.

It is an arithmetic number, because the mean of its divisors is an integer number (243889701000).

Almost surely, 210011132201021 is an apocalyptic number.

It is an amenable number.

10011132201021 is a deficient number, since it is larger than the sum of its proper divisors (5597808662979).

10011132201021 is a wasteful number, since it uses less digits than its factorization.

10011132201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10011132201021 its reverse (12010223111001), we get a palindrome (22021355312022).

The spelling of 10011132201021 in words is "ten trillion, eleven billion, one hundred thirty-two million, two hundred one thousand, twenty-one".

Divisors: 1 3 7 21 49 147 343 577 1029 1069 1731 3207 4039 7483 12117 15773 22449 28273 47319 52381 84819 110411 157143 197911 331233 366667 593733 616813 772877 1100001 1850439 2318631 4317691 5410139 9101021 12953073 16230417 16861337 27303063 30223837 50584011 63707147 90671511 118029359 191121441 211566859 354088077 445950029 634700577 826205513 1337850087 2478616539 3121650203 5783438591 9364950609 9728991449 17350315773 29186974347 68102940143 204308820429 476720581001 1430161743003 3337044067007 10011132201021