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1004003031120 = 24354183345963
BaseRepresentation
bin11101001110000110011…
…11100111100001010000
310112222111200211110211220
432213003033213201100
5112422144233443440
62045122125205040
7132352062645465
oct16470317474120
93488450743756
101004003031120
1135788259a481
121426ba700780
13738a570bacb
1436845d4966c
151b1b2dd98d0
hexe9c33e7850

1004003031120 has 40 divisors (see below), whose sum is σ = 3112409397216. Its totient is φ = 267734141568.

The previous prime is 1004003031107. The next prime is 1004003031137. The reversal of 1004003031120 is 211303004001.

1004003031120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1004003031120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2091672742 + ... + 2091673221.

Almost surely, 21004003031120 is an apocalyptic number.

1004003031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004003031120 is an abundant number, since it is smaller than the sum of its proper divisors (2108406366096).

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

1004003031120 is a wasteful number, since it uses less digits than its factorization.

1004003031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183345979 (or 4183345973 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1004003031120 its reverse (211303004001), we get a palindrome (1215306035121).

The spelling of 1004003031120 in words is "one trillion, four billion, three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4183345963 8366691926 12550037889 16733383852 20916729815 25100075778 33466767704 41833459630 50200151556 62750189445 66933535408 83666919260 100400303112 125500378890 167333838520 200800606224 251000757780 334667677040 502001515560 1004003031120