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1003012144131 = 3194315716315991
BaseRepresentation
bin11101001100010000010…
…11101011110000000011
310112212221122022012102210
432212020023223300003
5112413132102103011
62044435531113203
7132315401361234
oct16461013536003
93485848265383
101003012144131
11357414230408
121424828a2803
137377834284a
14367904d108b
151b155e086a6
hexe9882ebc03

1003012144131 has 64 divisors (see below), whose sum is σ = 1458634158080. Its totient is φ = 610998111360.

The previous prime is 1003012144129. The next prime is 1003012144139. The reversal of 1003012144131 is 1314412103001.

It is not a de Polignac number, because 1003012144131 - 21 = 1003012144129 is a prime.

It is a super-2 number, since 2×10030121441312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003012144098 and 1003012144107.

It is not an unprimeable number, because it can be changed into a prime (1003012144139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62715546 + ... + 62731536.

It is an arithmetic number, because the mean of its divisors is an integer number (22791158720).

Almost surely, 21003012144131 is an apocalyptic number.

1003012144131 is a deficient number, since it is larger than the sum of its proper divisors (455622013949).

1003012144131 is a wasteful number, since it uses less digits than its factorization.

1003012144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1003012144131 its reverse (1314412103001), we get a palindrome (2317424247132).

The spelling of 1003012144131 in words is "one trillion, three billion, twelve million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 19 43 57 129 157 163 471 489 817 2451 2983 3097 6751 7009 8949 9291 15991 20253 21027 25591 47973 76773 128269 133171 303829 384807 399513 486229 687613 911487 1100413 1458687 2062839 2510587 2606533 3301239 7531761 7819599 13064647 20907847 39193941 47701153 49524127 62723541 107955241 112080919 143103459 148572381 323865723 336242757 409225681 1227677043 2051149579 2129537461 6153448737 6388612383 7775287939 17596704283 23325863817 52790112849 334337381377 1003012144131