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1100120031232 = 215331101429
BaseRepresentation
bin10000000000100100010…
…000111000000000000000
310220011121020220222121221
4100000210100320000000
5121011021211444412
62201215502124424
7142323666655555
oct20004420700000
93804536828557
101100120031232
11394616094262
12159263b80714
137c982913481
143b3633d0a2c
151d93b2b0b07
hex10024438000

1100120031232 has 64 divisors (see below), whose sum is σ = 2206875396600. Its totient is φ = 548392796160.

The previous prime is 1100120031193. The next prime is 1100120031247. The reversal of 1100120031232 is 2321300210011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10795494 + ... + 10896922.

Almost surely, 21100120031232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100120031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103437698300).

1100120031232 is an abundant number, since it is smaller than the sum of its proper divisors (1106755365368).

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

1100120031232 is an frugal number, since it uses more digits than its factorization.

1100120031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101790 (or 101762 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1100120031232 its reverse (2321300210011), we get a palindrome (3421420241243).

The spelling of 1100120031232 in words is "one trillion, one hundred billion, one hundred twenty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 331 512 662 1024 1324 2048 2648 4096 5296 8192 10592 16384 21184 32768 42368 84736 101429 169472 202858 338944 405716 677888 811432 1355776 1622864 2711552 3245728 5423104 6491456 10846208 12982912 25965824 33572999 51931648 67145998 103863296 134291996 207726592 268583992 415453184 537167984 830906368 1074335968 1661812736 2148671936 3323625472 4297343872 8594687744 17189375488 34378750976 68757501952 137515003904 275030007808 550060015616 1100120031232