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2248130006031 = 371310181533747
BaseRepresentation
bin100000101101101110111…
…111011000110000001111
321221220211001020011121110
4200231232333120300033
5243313132240143111
64440435432103103
7321264520520250
oct40555677306017
97856731204543
102248130006031
11797476863978
12303852234a93
13133cc8097350
147ab4aba8b27
153d72ba645a6
hex20b6efd8c0f

2248130006031 has 32 divisors (see below), whose sum is σ = 3725766148608. Its totient is φ = 1174085942400.

The previous prime is 2248130005997. The next prime is 2248130006041. The reversal of 2248130006031 is 1306000318422.

It is not a de Polignac number, because 2248130006031 - 217 = 2248129874959 is a prime.

It is a super-2 number, since 2×22481300060312 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2248130006031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248130006041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40739301 + ... + 40794446.

It is an arithmetic number, because the mean of its divisors is an integer number (116430192144).

Almost surely, 22248130006031 is an apocalyptic number.

2248130006031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2248130006031 is a deficient number, since it is larger than the sum of its proper divisors (1477636142577).

2248130006031 is a wasteful number, since it uses less digits than its factorization.

2248130006031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81533871.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2248130006031 in words is "two trillion, two hundred forty-eight billion, one hundred thirty million, six thousand, thirty-one".

Divisors: 1 3 7 13 21 39 91 101 273 303 707 1313 2121 3939 9191 27573 81533747 244601241 570736229 1059938711 1712208687 3179816133 7419570977 8234908447 22258712931 24704725341 57644359129 107053809811 172933077387 321161429433 749376668677 2248130006031