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20401401200 = 2452614331931
BaseRepresentation
bin10011000000000001…
…001010110101110000
31221122210211120011212
4103000001022311300
5313240224314300
613212224455252
71321365022535
oct230001126560
957583746155
1020401401200
11871a071754
123b5447a528
131c018b9c3b
14db7732d8c
157e6109935
hex4c004ad70

20401401200 has 120 divisors (see below), whose sum is σ = 49958792016. Its totient is φ = 8004096000.

The previous prime is 20401401187. The next prime is 20401401253. The reversal of 20401401200 is 210410402.

It is a super-2 number, since 2×204014012002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10564235 + ... + 10566165.

Almost surely, 220401401200 is an apocalyptic number.

20401401200 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 20401401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24979396008).

20401401200 is an abundant number, since it is smaller than the sum of its proper divisors (29557390816).

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

20401401200 is a wasteful number, since it uses less digits than its factorization.

20401401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20401401200 its reverse (210410402), we get a palindrome (20611811602).

The spelling of 20401401200 in words is "twenty billion, four hundred one million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 200 244 305 400 433 488 610 866 976 1220 1525 1732 1931 2165 2440 3050 3464 3862 4330 4880 6100 6928 7724 8660 9655 10825 12200 15448 17320 19310 21650 24400 26413 30896 34640 38620 43300 48275 52826 77240 86600 96550 105652 117791 132065 154480 173200 193100 211304 235582 264130 386200 422608 471164 528260 588955 660325 772400 836123 942328 1056520 1177910 1320650 1672246 1884656 2113040 2355820 2641300 2944775 3344492 4180615 4711640 5282600 5889550 6688984 8361230 9423280 10565200 11779100 13377968 16722460 20903075 23558200 33444920 41806150 47116400 51003503 66889840 83612300 102007006 167224600 204014012 255017515 334449200 408028024 510035030 816056048 1020070060 1275087575 2040140120 2550175150 4080280240 5100350300 10200700600 20401401200