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20400203010 = 235111131972777
BaseRepresentation
bin10010111111111100…
…100110010100000010
31221122201120200120110
4102333330212110002
5313234422444020
613212143052150
71321351602345
oct227774462402
957581520513
1020400203010
118719423510
123b53ba1056
131c0158a755
14db750045c
157e5e6e8e0
hex4bff26502

20400203010 has 128 divisors (see below), whose sum is σ = 54177133824. Its totient is φ = 4875100160.

The previous prime is 20400203003. The next prime is 20400203039. The reversal of 20400203010 is 1030200402.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7344742 + ... + 7347518.

It is an arithmetic number, because the mean of its divisors is an integer number (423258858).

Almost surely, 220400203010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400203010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088566912).

20400203010 is an abundant number, since it is smaller than the sum of its proper divisors (33776930814).

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

20400203010 is a wasteful number, since it uses less digits than its factorization.

20400203010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20400203010 its reverse (1030200402), we get a palindrome (21430403412).

The spelling of 20400203010 in words is "twenty billion, four hundred million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 113 165 197 226 330 339 394 565 591 678 985 1130 1182 1243 1695 1970 2167 2486 2777 2955 3390 3729 4334 5554 5910 6215 6501 7458 8331 10835 12430 13002 13885 16662 18645 21670 22261 27770 30547 32505 37290 41655 44522 61094 65010 66783 83310 91641 111305 133566 152735 183282 222610 244871 305470 313801 333915 458205 489742 547069 627602 667830 734613 916410 941403 1094138 1224355 1469226 1569005 1641207 1882806 2448710 2735345 3138010 3282414 3451811 3673065 4707015 5470690 6017759 6903622 7346130 8206035 9414030 10355433 12035518 16412070 17259055 18053277 20710866 30088795 34518110 36106554 51777165 60177590 61818797 90266385 103554330 123637594 180532770 185456391 309093985 370912782 618187970 680006767 927281955 1360013534 1854563910 2040020301 3400033835 4080040602 6800067670 10200101505 20400203010