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205130241400 = 23527295052469
BaseRepresentation
bin1011111100001010110…
…1110001010101111000
3201121110212201221200011
42333002231301111320
511330101320211100
6234122512551304
720551214166010
oct2770255612570
9647425657604
10205130241400
1179aa4745527
1233909852534
131646114c386
149cdd5a6c40
155508a55bba
hex2fc2b71578

205130241400 has 96 divisors (see below), whose sum is σ = 563855652000. Its totient is φ = 67905169920.

The previous prime is 205130241383. The next prime is 205130241403. The reversal of 205130241400 is 4142031502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205130241403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2485635 + ... + 2566834.

It is an arithmetic number, because the mean of its divisors is an integer number (5873496375).

Almost surely, 2205130241400 is an apocalyptic number.

205130241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205130241400 is an abundant number, since it is smaller than the sum of its proper divisors (358725410600).

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

205130241400 is a wasteful number, since it uses less digits than its factorization.

205130241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052521 (or 5052512 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 205130241400 its reverse (4142031502), we get a palindrome (209272272902).

The spelling of 205130241400 in words is "two hundred five billion, one hundred thirty million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 140 145 175 200 203 232 280 290 350 406 580 700 725 812 1015 1160 1400 1450 1624 2030 2900 4060 5075 5800 8120 10150 20300 40600 5052469 10104938 20209876 25262345 35367283 40419752 50524690 70734566 101049380 126311725 141469132 146521601 176836415 202098760 252623450 282938264 293043202 353672830 505246900 586086404 707345660 732608005 884182075 1010493800 1025651207 1172172808 1414691320 1465216010 1768364150 2051302414 2930432020 3536728300 3663040025 4102604828 5128256035 5860864040 7073456600 7326080050 8205209656 10256512070 14652160100 20513024140 25641280175 29304320200 41026048280 51282560350 102565120700 205130241400