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103013101012130 = 2529432892158577
BaseRepresentation
bin10111011011000010011011…
…010010110000010010100010
3111111201221211010110011210022
4113123002123102300102202
5102000231312324342010
61003031322034233442
730461310450153101
oct2733023322602242
9444657733404708
10103013101012130
112a906679a80201
12b678767125882
13456312ac53c1a
141b61c09a4a038
15bd9919269d55
hex5db09b4b04a2

103013101012130 has 96 divisors (see below), whose sum is σ = 198588744284400. Its totient is φ = 38422514651136.

The previous prime is 103013101012099. The next prime is 103013101012183. The reversal of 103013101012130 is 31210101310301.

It can be written as a sum of positive squares in 8 ways, for example, as 49707054404329 + 53306046607801 = 7050323^2 + 7301099^2 .

It is a super-2 number, since 2×1030131010121302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103013101012099 and 103013101012108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46643402 + ... + 48801978.

Almost surely, 2103013101012130 is an apocalyptic number.

103013101012130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103013101012130 is a deficient number, since it is larger than the sum of its proper divisors (95575643272270).

103013101012130 is a wasteful number, since it uses less digits than its factorization.

103013101012130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158788 (or 2158745 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 103013101012130 its reverse (31210101310301), we get a palindrome (134223202322431).

The spelling of 103013101012130 in words is "one hundred three trillion, thirteen billion, one hundred one million, twelve thousand, one hundred thirty".

Divisors: 1 2 5 10 29 43 58 86 89 145 178 215 290 430 445 890 1247 1849 2494 2581 3698 3827 5162 6235 7654 9245 12470 12905 18490 19135 25810 38270 53621 107242 110983 164561 221966 268105 329122 536210 554915 822805 1109830 1645610 2158577 4317154 4772269 9544538 10792885 21585770 23861345 47722690 62598733 92818811 125197466 185637622 192113353 312993665 384226706 464094055 625987330 928188110 960566765 1921133530 2691745519 3991208873 5383491038 5571287237 7982417746 8260874179 11142574474 13458727595 16521748358 19956044365 26917455190 27856436185 39912088730 41304370895 55712872370 82608741790 115745057317 231490114634 239565351191 355217589697 479130702382 578725286585 710435179394 1157450573170 1197826755955 1776087948485 2395653511910 3552175896970 10301310101213 20602620202426 51506550506065 103013101012130