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11200022121020 = 2258944970119991
BaseRepresentation
bin1010001011111011010101…
…0101110000101000111100
31110122201012210120020010212
42202332311111300220330
52432000121130333040
635453115155451552
72234113663152155
oct242766525605074
943581183506125
1011200022121020
1136289a2559a47
12130a7808b6bb8
136332081b9b95
142aa12657492c
15146511a4cd65
hexa2fb5570a3c

11200022121020 has 96 divisors (see below), whose sum is σ = 23872487184000. Its totient is φ = 4413280256000.

The previous prime is 11200022121011. The next prime is 11200022121059. The reversal of 11200022121020 is 2012122000211.

It is a super-2 number, since 2×112000221210202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200022120986 and 11200022121004.

It is a congruent number.

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, 560243225 + ... + 560263215.

It is an arithmetic number, because the mean of its divisors is an integer number (248671741500).

Almost surely, 211200022121020 is an apocalyptic number.

11200022121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200022121020 is an abundant number, since it is smaller than the sum of its proper divisors (12672465062980).

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

11200022121020 is a wasteful number, since it uses less digits than its factorization.

11200022121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21239 (or 21237 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11200022121020 its reverse (2012122000211), we get a palindrome (13212144121231).

The spelling of 11200022121020 in words is "eleven trillion, two hundred billion, twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 449 701 890 898 1402 1780 1796 2245 2804 3505 4490 7010 8980 14020 19991 39961 39982 62389 79922 79964 99955 124778 159844 199805 199910 249556 311945 314749 399610 399820 623890 629498 799220 1247780 1258996 1573745 1779199 3147490 3558398 6294980 7116796 8895995 8975959 14013691 17791990 17951918 28012661 28027382 35583980 35903836 44879795 56025322 56054764 70068455 89759590 112050644 140063305 140136910 179519180 280126610 280273820 560253220 798860351 1247218499 1597720702 2494436998 3195441404 3994301755 4988873996 6236092495 6292147259 7988603510 12472184990 12584294518 15977207020 24944369980 25168589036 31460736295 62921472590 125842945180 560001106051 1120002212102 2240004424204 2800005530255 5600011060510 11200022121020