Search a number
-
+
136043041113100 = 2252111013230337907
BaseRepresentation
bin11110111011101011111101…
…001000111100010000001100
3122211200120212102222221002001
4132323223331020330100030
5120312412122011104400
61201201151005242044
740440533244511462
oct3673537510742014
9584616772887061
10136043041113100
113a390591089a30
1213312077263324
135abaa5aa45134
1425847383c4832
1510adbd1ecda6a
hex7bbafd23c40c

136043041113100 has 144 divisors (see below), whose sum is σ = 325258253139456. Its totient is φ = 48977584480000.

The previous prime is 136043041113073. The next prime is 136043041113149. The reversal of 136043041113100 is 1311140340631.

It is a happy number.

It is a super-2 number, since 2×1360430411131002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3588844347 + ... + 3588882253.

It is an arithmetic number, because the mean of its divisors is an integer number (2258737869024).

Almost surely, 2136043041113100 is an apocalyptic number.

136043041113100 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 136043041113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162629126569728).

136043041113100 is an abundant number, since it is smaller than the sum of its proper divisors (189215212026356).

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

136043041113100 is a wasteful number, since it uses less digits than its factorization.

136043041113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70336 (or 70329 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 136043041113100 its reverse (1311140340631), we get a palindrome (137354181453731).

The spelling of 136043041113100 in words is "one hundred thirty-six trillion, forty-three billion, forty-one million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 32303 37907 55550 64606 75814 111100 129212 151628 161515 189535 323030 355333 379070 416977 646060 710666 758140 807575 833954 947675 1421332 1615150 1667908 1776665 1895350 2084885 3230300 3262603 3553330 3790700 3828607 4169770 6525206 7106660 7657214 8339540 8883325 10424425 13050412 15314428 16313015 17766650 19143035 20848850 32626030 35533300 35888633 38286070 41697700 42114677 65252060 71777266 76572140 81565075 84229354 95715175 143554532 163130150 168458708 179443165 191430350 210573385 326260300 358886330 382860700 421146770 717772660 842293540 897215825 1052866925 1224509821 1794431650 2105733850 2449019642 3588863300 4211467700 4898039284 6122549105 12245098210 13469608031 24490196420 26939216062 30612745525 53878432124 61225491050 67348040155 122450982100 123675491921 134696080310 247350983842 269392160620 336740200775 494701967684 618377459605 673480401550 1236754919210 1346960803100 1360430411131 2473509838420 2720860822262 3091887298025 5441721644524 6183774596050 6802152055655 12367549192100 13604304111310 27208608222620 34010760278275 68021520556550 136043041113100