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20130202033140 = 223512714511820647
BaseRepresentation
bin1001001001110111011011…
…00010101001101111110100
32122021102120101120002122110
410210323231202221233310
510114303123210030030
6110451404231331020
74145234113032063
oct444735542515764
978242511502573
1020130202033140
116461197288701
12231144bb20a70
13b30367ca50b4
144d84424b81da
1524d9758061b0
hex124eed8a9bf4

20130202033140 has 96 divisors (see below), whose sum is σ = 56847563587584. Its totient is φ = 5322112387200.

The previous prime is 20130202033093. The next prime is 20130202033169. The reversal of 20130202033140 is 4133020203102.

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, 10146297 + ... + 11966943.

It is an arithmetic number, because the mean of its divisors is an integer number (592162120704).

Almost surely, 220130202033140 is an apocalyptic number.

20130202033140 is a gapful number since it is divisible by the number (20) 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 20130202033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28423781793792).

20130202033140 is an abundant number, since it is smaller than the sum of its proper divisors (36717361554444).

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

20130202033140 is a wasteful number, since it uses less digits than its factorization.

20130202033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822237 (or 1822235 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20130202033140 its reverse (4133020203102), we get a palindrome (24263222236242).

The spelling of 20130202033140 in words is "twenty trillion, one hundred thirty billion, two hundred two million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1451 1524 1905 2540 2902 3810 4353 5804 7255 7620 8706 14510 17412 21765 29020 43530 87060 184277 368554 552831 737108 921385 1105662 1820647 1842770 2211324 2764155 3641294 3685540 5461941 5528310 7282588 9103235 10923882 11056620 18206470 21847764 27309705 36412940 54619410 109238820 231222169 462444338 693666507 924888676 1156110845 1387333014 2312221690 2641758797 2774666028 3468332535 4624443380 5283517594 6936665070 7925276391 10567035188 13208793985 13873330140 15850552782 26417587970 31701105564 39626381955 52835175940 79252763910 158505527820 335503367219 671006734438 1006510101657 1342013468876 1677516836095 2013020203314 3355033672190 4026040406628 5032550508285 6710067344380 10065101016570 20130202033140