Search a number
-
+
103020553314 = 23271834144579
BaseRepresentation
bin101111111110010000…
…0001110010001100010
3100211220200100100102200
41133330200032101202
53141441230201224
6115154343554030
710304642153250
oct1377440162142
9324820310380
10103020553314
113a766464558
1217b7145b916
13993a53c1b3
144db42975d0
152a2e4dd5c9
hex17fc80e462

103020553314 has 48 divisors (see below), whose sum is σ = 255118144320. Its totient is φ = 29432178720.

The previous prime is 103020553309. The next prime is 103020553393. The reversal of 103020553314 is 413355020301.

103020553314 is a `hidden beast` number, since 103 + 0 + 2 + 0 + 553 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×1030205533142 (a number of 23 digits) contains 22 as substring.

It is a Curzon 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, 2288677 + ... + 2333255.

It is an arithmetic number, because the mean of its divisors is an integer number (5314961340).

Almost surely, 2103020553314 is an apocalyptic number.

103020553314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103020553314 is an abundant number, since it is smaller than the sum of its proper divisors (152097591006).

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

103020553314 is a wasteful number, since it uses less digits than its factorization.

103020553314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62935 (or 62932 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 103020553314 its reverse (413355020301), we get a palindrome (516375573615).

The spelling of 103020553314 in words is "one hundred three billion, twenty million, five hundred fifty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 18341 36682 44579 55023 89158 110046 128387 133737 165069 256774 267474 312053 330138 385161 401211 624106 770322 802422 936159 1155483 1872318 2310966 2808477 5616954 817623439 1635246878 2452870317 4905740634 5723364073 7358610951 11446728146 14717221902 17170092219 34340184438 51510276657 103020553314