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1030143314310 = 235112823344819
BaseRepresentation
bin11101111110110010101…
…00111000100110000110
310122110222110101110010120
432333121110320212012
5113334213142024220
62105124042202410
7134265624460605
oct16773124704606
93573873343116
101030143314310
11367977055100
12147794ab3406
13761b025b6b6
1437c05919a3c
151bbe2c4da40
hexefd9538986

1030143314310 has 96 divisors (see below), whose sum is σ = 2720844967680. Its totient is φ = 249427548480.

The previous prime is 1030143314261. The next prime is 1030143314311. The reversal of 1030143314310 is 134133410301.

It is a super-2 number, since 2×10301433143102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030143314311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2815081 + ... + 3159899.

It is an arithmetic number, because the mean of its divisors is an integer number (28342135080).

Almost surely, 21030143314310 is an apocalyptic number.

1030143314310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030143314310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360422483840).

1030143314310 is an abundant number, since it is smaller than the sum of its proper divisors (1690701653370).

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

1030143314310 is a wasteful number, since it uses less digits than its factorization.

1030143314310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345674 (or 345663 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1030143314310 its reverse (134133410301), we get a palindrome (1164276724611).

The spelling of 1030143314310 in words is "one trillion, thirty billion, one hundred forty-three million, three hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 823 1210 1646 1815 2469 3630 4115 4938 8230 9053 12345 18106 24690 27159 45265 54318 90530 99583 135795 199166 271590 298749 344819 497915 597498 689638 995830 1034457 1493745 1724095 2068914 2987490 3448190 3793009 5172285 7586018 10344570 11379027 18965045 22758054 37930090 41723099 56895135 83446198 113790270 125169297 208615495 250338594 283786037 417230990 567572074 625846485 851358111 1251692970 1418930185 1702716222 2837860370 3121646407 4256790555 6243292814 8513581110 9364939221 15608232035 18729878442 31216464070 34338110477 46824696105 68676220954 93649392210 103014331431 171690552385 206028662862 343381104770 515071657155 1030143314310