Search a number
-
+
113012121103002 = 237112348840693
BaseRepresentation
bin11001101100100010101111…
…010101010110101010011010
3112211010212001000210220000000
4121230202233111112222122
5104303042311000244002
61040205015100353430
732542566466454442
oct3154425725265232
9484125030726000
10113012121103002
1133011198162a70
121081260a845876
134b09cc7087b54
141dc9b5c97b122
15d0ea8814961c
hex66c8af556a9a

113012121103002 has 64 divisors (see below), whose sum is σ = 277351109147520. Its totient is φ = 34246097289360.

The previous prime is 113012121102967. The next prime is 113012121103019. The reversal of 113012121103002 is 200301121210311.

113012121103002 is a `hidden beast` number, since 1 + 1 + 30 + 121 + 211 + 0 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1174372233 + ... + 1174468460.

It is an arithmetic number, because the mean of its divisors is an integer number (4333611080430).

Almost surely, 2113012121103002 is an apocalyptic number.

113012121103002 is an abundant number, since it is smaller than the sum of its proper divisors (164338988044518).

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

113012121103002 is an equidigital number, since it uses as much as digits as its factorization.

113012121103002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348840727 (or 2348840709 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113012121103002 its reverse (200301121210311), we get a palindrome (313313242313313).

The spelling of 113012121103002 in words is "one hundred thirteen trillion, twelve billion, one hundred twenty-one million, one hundred three thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 8019 16038 24057 48114 2348840693 4697681386 7046522079 14093044158 21139566237 25837247623 42279132474 51674495246 63418698711 77511742869 126837397422 155023485738 190256096133 232535228607 380512192266 465070457214 570768288399 697605685821 1141536576798 1395211371642 1712304865197 2092817057463 3424609730394 4185634114926 5136914595591 6278451172389 10273829191182 12556902344778 18835353517167 37670707034334 56506060551501 113012121103002