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20133241420 = 22537591273631
BaseRepresentation
bin10010110000000010…
…001110001001001100
31220222010020122010011
4102300002032021030
5312213102211140
613125445123004
71311630504565
oct226002161114
956863218104
1020133241420
1185a17652a6
123a9a6b9464
131b8b189906
14d8dc8b16c
157cc7d9cea
hex4b008e24c

20133241420 has 96 divisors (see below), whose sum is σ = 44518440960. Its totient is φ = 7640075520.

The previous prime is 20133241417. The next prime is 20133241421. The reversal of 20133241420 is 2414233102.

It is a junction number, because it is equal to n+sod(n) for n = 20133241391 and 20133241400.

It is not an unprimeable number, because it can be changed into a prime (20133241421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5543005 + ... + 5546635.

It is an arithmetic number, because the mean of its divisors is an integer number (463733760).

Almost surely, 220133241420 is an apocalyptic number.

20133241420 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 20133241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259220480).

20133241420 is an abundant number, since it is smaller than the sum of its proper divisors (24385199540).

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

20133241420 is a wasteful number, since it uses less digits than its factorization.

20133241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 20133241420 its reverse (2414233102), we get a palindrome (22547474522).

The spelling of 20133241420 in words is "twenty billion, one hundred thirty-three million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 59 74 118 127 148 185 236 254 295 370 508 590 635 740 1180 1270 2183 2540 3631 4366 4699 7262 7493 8732 9398 10915 14524 14986 18155 18796 21830 23495 29972 36310 37465 43660 46990 72620 74930 93980 134347 149860 214229 268694 277241 428458 461137 537388 554482 671735 856916 922274 1071145 1108964 1343470 1386205 1844548 2142290 2305685 2686940 2772410 4284580 4611370 5544820 7926473 9222740 15852946 17062069 27207083 31705892 34124138 39632365 54414166 68248276 79264730 85310345 108828332 136035415 158529460 170620690 272070830 341241380 544141660 1006662071 2013324142 4026648284 5033310355 10066620710 20133241420