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1023043205430 = 234517925032819
BaseRepresentation
bin11101110001100100010…
…00000111100100110110
310121210122122021112210000
432320302020013210312
5113230143030033210
62101551330212130
7133624651523661
oct16706210074466
93553578245700
101023043205430
11364963245224
12146333124046
137561b2a453c
14377309806d8
151b92975cac0
hexee32207936

1023043205430 has 160 divisors (see below), whose sum is σ = 2768304211200. Its totient is φ = 271082852928.

The previous prime is 1023043205407. The next prime is 1023043205489. The reversal of 1023043205430 is 345023403201.

1023043205430 is a `hidden beast` number, since 1 + 0 + 2 + 304 + 320 + 5 + 4 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1023043205394 and 1023043205403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 362908561 + ... + 362911379.

It is an arithmetic number, because the mean of its divisors is an integer number (17301901320).

Almost surely, 21023043205430 is an apocalyptic number.

1023043205430 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 1023043205430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384152105600).

1023043205430 is an abundant number, since it is smaller than the sum of its proper divisors (1745261005770).

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

1023043205430 is a wasteful number, since it uses less digits than its factorization.

1023043205430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 1023043205430 its reverse (345023403201), we get a palindrome (1368066608631).

The spelling of 1023043205430 in words is "one trillion, twenty-three billion, forty-three million, two hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 270 358 405 537 810 895 1074 1611 1790 2503 2685 2819 3222 4833 5006 5370 5638 7509 8055 8457 9666 12515 14095 14499 15018 16110 16914 22527 24165 25030 25371 28190 28998 37545 42285 45054 48330 50742 67581 72495 75090 76113 84570 112635 126855 135162 144990 152226 202743 225270 228339 253710 337905 380565 405486 448037 456678 504601 675810 761130 896074 1009202 1013715 1141695 1344111 1513803 2027430 2240185 2283390 2523005 2688222 3027606 4032333 4480370 4541409 5046010 6720555 7055957 7569015 8064666 9082818 12096999 13441110 13624227 14111914 15138030 20161665 21167871 22707045 24193998 27248454 35279785 36290997 40323330 40872681 42335742 45414090 60484995 63503613 68121135 70559570 72581994 81745362 105839355 120969990 127007226 136242270 181454985 190510839 204363405 211678710 317518065 362909970 381021678 408726810 571532517 635036130 952554195 1143065034 1263016303 1905108390 2526032606 2857662585 3789048909 5715325170 6315081515 7578097818 11367146727 12630163030 18945244545 22734293454 34101440181 37890489090 56835733635 68202880362 102304320543 113671467270 170507200905 204608641086 341014401810 511521602715 1023043205430