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1001332103220 = 223255562956129
BaseRepresentation
bin11101001001001000000…
…10110101100000110100
310112201121120000021120100
432210210002311200310
5112401212004300340
62044001114034100
7132225641304621
oct16444402654064
93481546007510
101001332103220
1135673195a849
12142094118930
137356b263bb7
1436671323348
151b0a8698830
hexe9240b5834

1001332103220 has 36 divisors (see below), whose sum is σ = 3037374046980. Its totient is φ = 267021894144.

The previous prime is 1001332103201. The next prime is 1001332103221. The reversal of 1001332103220 is 223012331001.

1001332103220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 332 + 10 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 474891887376 + 526440215844 = 689124^2 + 725562^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1001332103193 and 1001332103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001332103221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781477885 + ... + 2781478244.

It is an arithmetic number, because the mean of its divisors is an integer number (84371501305).

Almost surely, 21001332103220 is an apocalyptic number.

1001332103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001332103220 is an abundant number, since it is smaller than the sum of its proper divisors (2036041943760).

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

1001332103220 is a wasteful number, since it uses less digits than its factorization.

1001332103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562956144 (or 5562956139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1001332103220 its reverse (223012331001), we get a palindrome (1224344434221).

The spelling of 1001332103220 in words is "one trillion, one billion, three hundred thirty-two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5562956129 11125912258 16688868387 22251824516 27814780645 33377736774 50066605161 55629561290 66755473548 83444341935 100133210322 111259122580 166888683870 200266420644 250333025805 333777367740 500666051610 1001332103220