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11012010222000 = 243535713214247
BaseRepresentation
bin1010000000111110111011…
…1101010010000110110000
31102222201220221000011121110
42200033232331102012300
52420410044104101000
635230503032153320
72214406610322654
oct240175675220660
942881827004543
1011012010222000
113566192762517
12129a24bb38840
1361b5747274a8
142a0dac694a64
151416aac98850
hexa03eef521b0

11012010222000 has 160 divisors (see below), whose sum is σ = 35564908414464. Its totient is φ = 2931392352000.

The previous prime is 11012010221999. The next prime is 11012010222001. The reversal of 11012010222000 is 22201021011.

It is an interprime number because it is at equal distance from previous prime (11012010221999) and next prime (11012010222001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11012010222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1818877 + ... + 5033123.

Almost surely, 211012010222000 is an apocalyptic number.

11012010222000 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 11012010222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782454207232).

11012010222000 is an abundant number, since it is smaller than the sum of its proper divisors (24552898192464).

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

11012010222000 is a wasteful number, since it uses less digits than its factorization.

11012010222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214844 (or 3214828 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012010222000 its reverse (22201021011), we get a palindrome (11034211243011).

The spelling of 11012010222000 in words is "eleven trillion, twelve billion, ten million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 571 600 750 1000 1142 1200 1500 1713 2000 2284 2855 3000 3426 4568 5710 6000 6852 8565 9136 11420 13704 14275 17130 22840 27408 28550 34260 42825 45680 57100 68520 71375 85650 114200 137040 142750 171300 214125 228400 285500 342600 428250 571000 685200 856500 1142000 1713000 3214247 3426000 6428494 9642741 12856988 16071235 19285482 25713976 32142470 38570964 48213705 51427952 64284940 77141928 80356175 96427410 128569880 154283856 160712350 192854820 241068525 257139760 321424700 385709640 401780875 482137050 642849400 771419280 803561750 964274100 1205342625 1285698800 1607123500 1835335037 1928548200 2410685250 3214247000 3670670074 3857096400 4821370500 5506005111 6428494000 7341340148 9176675185 9642741000 11012010222 14682680296 18353350370 19285482000 22024020444 27530025555 29365360592 36706700740 44048040888 45883375925 55060051110 73413401480 88096081776 91766751850 110120102220 137650127775 146826802960 183533503700 220240204440 229416879625 275300255550 367067007400 440480408880 458833759250 550600511100 688250638875 734134014800 917667518500 1101201022200 1376501277750 1835335037000 2202402044400 2753002555500 3670670074000 5506005111000 11012010222000