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1131030214000 = 24531945765129
BaseRepresentation
bin10000011101010110101…
…001110111010101110000
311000010101102212222000221
4100131112221313111300
5122012322213322000
62223331010422424
7144466661123521
oct20352651672560
94003342788027
101131030214000
113a6738085055
1216324b891a14
138286a728a4b
143ca56686848
151e649c7861a
hex10756a77570

1131030214000 has 160 divisors (see below), whose sum is σ = 2885113108800. Its totient is φ = 427656499200.

The previous prime is 1131030213979. The next prime is 1131030214043. The reversal of 1131030214000 is 4120301311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17333436 + ... + 17398564.

It is an arithmetic number, because the mean of its divisors is an integer number (18031956930).

Almost surely, 21131030214000 is an apocalyptic number.

1131030214000 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 1131030214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442556554400).

1131030214000 is an abundant number, since it is smaller than the sum of its proper divisors (1754082894800).

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

1131030214000 is a wasteful number, since it uses less digits than its factorization.

1131030214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65628 (or 65612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1131030214000 its reverse (4120301311), we get a palindrome (1135150515311).

The spelling of 1131030214000 in words is "one trillion, one hundred thirty-one billion, thirty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 457 475 500 760 914 950 1000 1520 1828 1900 2000 2285 2375 3656 3800 4570 4750 7312 7600 8683 9140 9500 11425 17366 18280 19000 22850 34732 36560 38000 43415 45700 57125 65129 69464 86830 91400 114250 130258 138928 173660 182800 217075 228500 260516 325645 347320 434150 457000 521032 651290 694640 868300 914000 1042064 1085375 1237451 1302580 1628225 1736600 2170750 2474902 2605160 3256450 3473200 4341500 4949804 5210320 6187255 6512900 8141125 8683000 9899608 12374510 13025800 16282250 17366000 19799216 24749020 26051600 29763953 30936275 32564500 49498040 59527906 61872550 65129000 98996080 119055812 123745100 130258000 148819765 154681375 238111624 247490200 297639530 309362750 476223248 494980400 565515107 595279060 618725500 744098825 1131030214 1190558120 1237451000 1488197650 2262060428 2381116240 2474902000 2827575535 2976395300 3720494125 4524120856 5655151070 5952790600 7440988250 9048241712 11310302140 11905581200 14137877675 14881976500 22620604280 28275755350 29763953000 45241208560 56551510700 59527906000 70689388375 113103021400 141378776750 226206042800 282757553500 565515107000 1131030214000