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11430422420430 = 23513359491166273
BaseRepresentation
bin1010011001010101101001…
…0001001001101111001110
31111110201220210101010120110
42212111122101021233032
52444234001114423210
640151021421500450
72256551344324536
oct246253221115716
944421823333513
1011430422420430
113707684514032
121347361411726
1364bb657b8ab0
142b7341d024c6
1514c4e8d1d420
hexa655a449bce

11430422420430 has 128 divisors (see below), whose sum is σ = 29686054487040. Its totient is φ = 2800073687040.

The previous prime is 11430422420411. The next prime is 11430422420489. The reversal of 11430422420430 is 3402422403411.

11430422420430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 68661774 + ... + 68828046.

It is an arithmetic number, because the mean of its divisors is an integer number (231922300680).

Almost surely, 211430422420430 is an apocalyptic number.

11430422420430 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 11430422420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843027243520).

11430422420430 is an abundant number, since it is smaller than the sum of its proper divisors (18255632066610).

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

11430422420430 is a wasteful number, since it uses less digits than its factorization.

11430422420430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167146.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11430422420430 its reverse (3402422403411), we get a palindrome (14832844823841).

The spelling of 11430422420430 in words is "eleven trillion, four hundred thirty billion, four hundred twenty-two million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 359 390 491 718 982 1077 1473 1795 2154 2455 2946 3590 4667 4910 5385 6383 7365 9334 10770 12766 14001 14730 19149 23335 28002 31915 38298 46670 63830 70005 95745 140010 166273 176269 191490 332546 352538 498819 528807 831365 881345 997638 1057614 1662730 1762690 2161549 2291497 2494095 2644035 4323098 4582994 4988190 5288070 6484647 6874491 10807745 11457485 12969294 13748982 21615490 22914970 32423235 34372455 59692007 64846470 68744910 81640043 119384014 163280086 179076021 244920129 298460035 358152042 408200215 489840258 596920070 775996091 816400430 895380105 1061320559 1224600645 1551992182 1790760210 2122641118 2327988273 2449201290 3183961677 3879980455 4655976546 5306602795 6367923354 7759960910 10613205590 11639941365 15919808385 23279882730 29308775437 31839616770 58617550874 87926326311 146543877185 175852652622 293087754370 381014080681 439631631555 762028161362 879263263110 1143042242043 1905070403405 2286084484086 3810140806810 5715211210215 11430422420430