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2003101121310 = 235412418278171
BaseRepresentation
bin11101001001100010001…
…000010111101100011110
321002111100120011010122220
4131021202020113230132
5230304322341340220
64132113440450210
7264501466413042
oct35114210275436
97074316133586
102003101121310
117025683a9163
1228426a619966
13116b78b928b3
146cd4469a022
153718a398540
hex1d262217b1e

2003101121310 has 128 divisors (see below), whose sum is σ = 4951717360128. Its totient is φ = 518278656000.

The previous prime is 2003101121309. The next prime is 2003101121341. The reversal of 2003101121310 is 131211013002.

It is a happy number.

It is a super-2 number, since 2×20031011213102 (a number of 25 digits) contains 22 as substring.

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 2003101121310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245143525 + ... + 245151695.

It is an arithmetic number, because the mean of its divisors is an integer number (38685291876).

Almost surely, 22003101121310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003101121310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475858680064).

2003101121310 is an abundant number, since it is smaller than the sum of its proper divisors (2948616238818).

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

2003101121310 is a wasteful number, since it uses less digits than its factorization.

2003101121310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9290.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2003101121310 its reverse (131211013002), we get a palindrome (2134312134312).

The spelling of 2003101121310 in words is "two trillion, three billion, one hundred one million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 241 246 410 482 615 723 827 1205 1230 1446 1654 2410 2481 3615 4135 4962 7230 8171 8270 9881 12405 16342 19762 24513 24810 29643 33907 40855 49026 49405 59286 67814 81710 98810 101721 122565 148215 169535 199307 203442 245130 296430 335011 339070 398614 508605 597921 670022 996535 1005033 1017210 1195842 1675055 1969211 1993070 2010066 2989605 3350110 3938422 5025165 5907633 5979210 6757417 8171587 9846055 10050330 11815266 13514834 16343174 19692110 20272251 24514761 29538165 33787085 40544502 40857935 49029522 59076330 67574170 80737651 81715870 101361255 122573805 161475302 202722510 242212953 245147610 277054097 403688255 484425906 554108194 807376510 831162291 1211064765 1385270485 1628537497 1662324582 2422129530 2770540970 3257074994 4155811455 4885612491 8142687485 8311622910 9771224982 16285374970 24428062455 48856124910 66770037377 133540074754 200310112131 333850186885 400620224262 667700373770 1001550560655 2003101121310