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10011211213332 = 22373741616432003
BaseRepresentation
bin1001000110101110101010…
…1100000010101000010100
31022110001200112002220021210
42101223222230002220110
52303010430032311312
633143030440141420
72052200101156410
oct221535254025024
938401615086253
1010011211213332
11320a80481358a
1211582a6467870
1357808ca65074
1426878c09dd40
15125634303e3c
hex91aeab02a14

10011211213332 has 384 divisors, whose sum is σ = 28605937102848. Its totient is φ = 2665164902400.

The previous prime is 10011211213313. The next prime is 10011211213337. The reversal of 10011211213332 is 23331211211001.

It is a super-2 number, since 2×100112112133322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10011211213299 and 10011211213308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011211213337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4998107443 + ... + 4998109445.

It is an arithmetic number, because the mean of its divisors is an integer number (74494627872).

Almost surely, 210011211213332 is an apocalyptic number.

10011211213332 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 10011211213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302968551424).

10011211213332 is an abundant number, since it is smaller than the sum of its proper divisors (18594725889516).

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

10011211213332 is a wasteful number, since it uses less digits than its factorization.

10011211213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10011211213332 its reverse (23331211211001), we get a palindrome (33342422424333).

The spelling of 10011211213332 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred thirteen thousand, three hundred thirty-two".