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1004401012120 = 235112282729573
BaseRepresentation
bin11101001110110101111…
…01110010110110011000
310120000112102201000010221
432213122331302312120
5112424003124341440
62045225423245424
7132364664511112
oct16473275626630
93500472630127
101004401012120
11357a672064a0
121427aba49874
1373939cc441c
1436882b463b2
151b1d7ceed4a
hexe9daf72d98

1004401012120 has 32 divisors (see below), whose sum is σ = 2465347939920. Its totient is φ = 365236731520.

The previous prime is 1004401012103. The next prime is 1004401012123. The reversal of 1004401012120 is 212101044001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1004401012094 and 1004401012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004401012123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1141364347 + ... + 1141365226.

Almost surely, 21004401012120 is an apocalyptic number.

1004401012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004401012120 is an abundant number, since it is smaller than the sum of its proper divisors (1460946927800).

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

1004401012120 is a wasteful number, since it uses less digits than its factorization.

1004401012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282729595 (or 2282729591 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1004401012120 its reverse (212101044001), we get a palindrome (1216502056121).

The spelling of 1004401012120 in words is "one trillion, four billion, four hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2282729573 4565459146 9130918292 11413647865 18261836584 22827295730 25110025303 45654591460 50220050606 91309182920 100440101212 125550126515 200880202424 251100253030 502200506060 1004401012120