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1122020002000 = 24534745726119
BaseRepresentation
bin10000010100111101100…
…110101000100011010000
310222021010111120202210101
4100110331212220203100
5121340344110031000
62215240542342144
7144030462441052
oct20247546504320
93867114522711
101122020002000
113a2934049457
1216155628a954
1381a62b11561
143c43db738d2
151e2bdc30e6a
hex1053d9a88d0

1122020002000 has 160 divisors (see below), whose sum is σ = 2776937978880. Its totient is φ = 438280934400.

The previous prime is 1122020001997. The next prime is 1122020002039. The reversal of 1122020002000 is 2000202211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42944941 + ... + 42971059.

It is an arithmetic number, because the mean of its divisors is an integer number (17355862368).

Almost surely, 21122020002000 is an apocalyptic number.

1122020002000 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 1122020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388468989440).

1122020002000 is an abundant number, since it is smaller than the sum of its proper divisors (1654917976880).

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

1122020002000 is a wasteful number, since it uses less digits than its factorization.

1122020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26646 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1122020002000 its reverse (2000202211), we get a palindrome (1124020204211).

The spelling of 1122020002000 in words is "one trillion, one hundred twenty-two billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 457 470 500 752 914 940 1000 1175 1828 1880 2000 2285 2350 3656 3760 4570 4700 5875 7312 9140 9400 11425 11750 18280 18800 21479 22850 23500 26119 36560 42958 45700 47000 52238 57125 85916 91400 94000 104476 107395 114250 130595 171832 182800 208952 214790 228500 261190 343664 417904 429580 457000 522380 536975 652975 859160 914000 1044760 1073950 1227593 1305950 1718320 2089520 2147900 2455186 2611900 2684875 3264875 4295800 4910372 5223800 5369750 6137965 6529750 8591600 9820744 10447600 10739500 11936383 12275930 13059500 19641488 21479000 23872766 24551860 26119000 30689825 42958000 47745532 49103720 52238000 59681915 61379650 95491064 98207440 119363830 122759300 153449125 190982128 238727660 245518600 298409575 306898250 477455320 491037200 561010001 596819150 613796500 954910640 1122020002 1193638300 1227593000 1492047875 2244040004 2387276600 2455186000 2805050005 2984095750 4488080008 4774553200 5610100010 5968191500 8976160016 11220200020 11936383000 14025250025 22440400040 23872766000 28050500050 44880800080 56101000100 70126250125 112202000200 140252500250 224404000400 280505000500 561010001000 1122020002000