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30023112011100 = 223521324733112913
BaseRepresentation
bin1101101001110010011001…
…11011010010110101011100
310221022011220022000120102020
412310321030323102311130
512413344313133323400
6143504232141500140
76216045463264605
oct664711473226534
9127264808016366
1030023112011100
11962580403607a
12344a81b571650
13139a223788c70
1475b1aaab4dac
15370e83d622a0
hex1b4e4ced2d5c

30023112011100 has 144 divisors (see below), whose sum is σ = 93586795915872. Its totient is φ = 7387313725440.

The previous prime is 30023112011071. The next prime is 30023112011129. The reversal of 30023112011100 is 111021132003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30023112011071) and next prime (30023112011129).

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 30023112011100.

It is a congruent number.

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, 8088244 + ... + 11201156.

Almost surely, 230023112011100 is an apocalyptic number.

30023112011100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30023112011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46793397957936).

30023112011100 is an abundant number, since it is smaller than the sum of its proper divisors (63563683904772).

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

30023112011100 is a wasteful number, since it uses less digits than its factorization.

30023112011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115416 (or 3115409 counting only the distinct ones).

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

Adding to 30023112011100 its reverse (111021132003), we get a palindrome (30134133143103).

The spelling of 30023112011100 in words is "thirty trillion, twenty-three billion, one hundred twelve million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2473 3900 4946 7419 9892 12365 14838 24730 29676 32149 37095 49460 61825 64298 74190 96447 123650 128596 148380 160745 185475 192894 247300 321490 370950 385788 482235 642980 741900 803725 964470 1607450 1928940 2411175 3112913 3214900 4822350 6225826 9338739 9644700 12451652 15564565 18677478 31129130 37354956 40467869 46693695 62258260 77822825 80935738 93387390 121403607 155645650 161871476 186774780 202339345 233468475 242807214 311291300 404678690 466936950 485614428 607018035 809357380 933873900 1011696725 1214036070 2023393450 2428072140 3035090175 4046786900 6070180350 7698233849 12140360700 15396467698 23094701547 30792935396 38491169245 46189403094 76982338490 92378806188 100077040037 115473507735 153964676980 192455846225 200154080074 230947015470 300231120111 384911692450 400308160148 461894030940 500385200185 577367538675 600462240222 769823384900 1000770400370 1154735077350 1200924480444 1501155600555 2001540800740 2309470154700 2501926000925 3002311201110 5003852001850 6004622402220 7505778002775 10007704003700 15011556005550 30023112011100