Search a number
-
+
11214401720 = 2354371131701
BaseRepresentation
bin10100111000110111…
…00011000010111000
31001221112212122002212
422130123203002320
5140431341323340
65052443314252
7544621561514
oct123433430270
931845778085
1011214401720
114835267aa5
12220b81b988
131099484b82
14785561144
154597e0a65
hex29c6e30b8

11214401720 has 128 divisors (see below), whose sum is σ = 26420359680. Its totient is φ = 4280640000.

The previous prime is 11214401717. The next prime is 11214401741. The reversal of 11214401720 is 2710441211.

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, 15997370 + ... + 15998070.

It is an arithmetic number, because the mean of its divisors is an integer number (206409060).

Almost surely, 211214401720 is an apocalyptic number.

11214401720 is a gapful number since it is divisible by the number (10) 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 11214401720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13210179840).

11214401720 is an abundant number, since it is smaller than the sum of its proper divisors (15205957960).

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

11214401720 is a wasteful number, since it uses less digits than its factorization.

11214401720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 11214401720 its reverse (2710441211), we get a palindrome (13924842931).

The spelling of 11214401720 in words is "eleven billion, two hundred fourteen million, four hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 71 86 131 142 172 215 262 284 344 355 430 524 568 655 701 710 860 1048 1310 1402 1420 1720 2620 2804 2840 3053 3505 5240 5608 5633 6106 7010 9301 11266 12212 14020 15265 18602 22532 24424 28040 28165 30143 30530 37204 45064 46505 49771 56330 60286 61060 74408 91831 93010 99542 112660 120572 122120 150715 183662 186020 199084 225320 241144 248855 301430 367324 372040 398168 399943 459155 497710 602860 734648 799886 918310 995420 1205720 1599772 1836620 1990840 1999715 2140153 3199544 3673240 3948733 3999430 4280306 6520001 7897466 7998860 8560612 10700765 13040002 15794932 15997720 17121224 19743665 21401530 26080004 31589864 32600005 39487330 42803060 52160008 65200010 78974660 85606120 130400020 157949320 260800040 280360043 560720086 1121440172 1401800215 2242880344 2803600430 5607200860 11214401720