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11403223621320 = 23351915593208091
BaseRepresentation
bin1010010111110000010100…
…0101111101111011001000
31111101010201021000222102110
42211330011011331323020
52443312300221340240
640130322453102320
72254566340335246
oct245740505757310
944333637028373
1011403223621320
1136a70974a8763
1213420306279a0
1364941c88171b
142b5cc1911796
1514b9560b9c80
hexa5f0517dec8

11403223621320 has 128 divisors (see below), whose sum is σ = 36033289344000. Its totient is φ = 2878965630720.

The previous prime is 11403223621291. The next prime is 11403223621379. The reversal of 11403223621320 is 2312632230411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1950475 + ... + 5158565.

It is an arithmetic number, because the mean of its divisors is an integer number (281510073000).

Almost surely, 211403223621320 is an apocalyptic number.

11403223621320 is a gapful number since it is divisible by the number (10) 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 11403223621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016644672000).

11403223621320 is an abundant number, since it is smaller than the sum of its proper divisors (24630065722680).

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

11403223621320 is a wasteful number, since it uses less digits than its factorization.

11403223621320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209683 (or 3209679 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 11403223621320 its reverse (2312632230411), we get a palindrome (13715855851731).

The spelling of 11403223621320 in words is "eleven trillion, four hundred three billion, two hundred twenty-three million, six hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1559 2280 3118 4677 6236 7795 9354 12472 15590 18708 23385 29621 31180 37416 46770 59242 62360 88863 93540 118484 148105 177726 187080 236968 296210 355452 444315 592420 710904 888630 1184840 1777260 3208091 3554520 6416182 9624273 12832364 16040455 19248546 25664728 32080910 38497092 48121365 60953729 64161820 76994184 96242730 121907458 128323640 182861187 192485460 243814916 304768645 365722374 384970920 487629832 609537290 731444748 914305935 1219074580 1462889496 1828611870 2438149160 3657223740 5001413869 7314447480 10002827738 15004241607 20005655476 25007069345 30008483214 40011310952 50014138690 60016966428 75021208035 95026863511 100028277380 120033932856 150042416070 190053727022 200056554760 285080590533 300084832140 380107454044 475134317555 570161181066 600169664280 760214908088 950268635110 1140322362132 1425402952665 1900537270220 2280644724264 2850805905330 3801074540440 5701611810660 11403223621320