Search a number
-
+
110021101114134 = 237417226426201
BaseRepresentation
bin11001000001000001001000…
…101001100101001100010110
3112102112220200201000102222210
4121001001020221211030112
5103410041203341123014
61025554555053534250
732113522310160000
oct3101011051451426
9472486621012883
10110021101114134
11320687613755a1
121040a9b01a4386
134950c39b29c02
141d2509a575370
15cabd7be84859
hex641048a65316

110021101114134 has 120 divisors (see below), whose sum is σ = 272688912998568. Its totient is φ = 29585505062400.

The previous prime is 110021101114123. The next prime is 110021101114159. The reversal of 110021101114134 is 431411101120011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 110021101114134.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9049767 + ... + 17376434.

Almost surely, 2110021101114134 is an apocalyptic number.

110021101114134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

110021101114134 is an abundant number, since it is smaller than the sum of its proper divisors (162667811884434).

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

110021101114134 is an equidigital number, since it uses as much as digits as its factorization.

110021101114134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426268 (or 26426230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 110021101114134 its reverse (431411101120011), we get a palindrome (541432202234145).

The spelling of 110021101114134 in words is "one hundred ten trillion, twenty-one billion, one hundred one million, one hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 289 294 343 357 578 686 714 833 867 1029 1666 1734 2023 2058 2401 2499 4046 4802 4998 5831 6069 7203 11662 12138 14161 14406 17493 28322 34986 40817 42483 81634 84966 99127 122451 198254 244902 297381 594762 693889 1387778 2081667 4163334 26426201 52852402 79278603 158557206 184983407 369966814 449245417 554950221 898490834 1109900442 1294883849 1347736251 2589767698 2695472502 3144717919 3884651547 6289435838 7637172089 7769303094 9064186943 9434153757 15274344178 18128373886 18868307514 22013025433 22911516267 27192560829 44026050866 45823032534 53460204623 54385121658 63449308601 66039076299 106920409246 126898617202 132078152598 154091178031 160380613869 190347925803 308182356062 320761227738 374221432361 380695851606 462273534093 748442864722 924547068186 1078638246217 1122664297083 2157276492434 2245328594166 2619550026527 3235914738651 5239100053054 6471829477302 7858650079581 15717300159162 18336850185689 36673700371378 55010550557067 110021101114134