Search a number
-
+
102121414024 = 2376912639069
BaseRepresentation
bin101111100011011101…
…0010001110110001000
3100202121000110100012111
41133012322101312020
53133121040222044
6114525224152104
710243443461020
oct1370672216610
9322530410174
10102121414024
113a34496a933
1217960308634
139826187506
144d2aac2a80
1529ca5d1b34
hex17c6e91d88

102121414024 has 32 divisors (see below), whose sum is σ = 219148372800. Its totient is φ = 43702966080.

The previous prime is 102121414019. The next prime is 102121414027. The reversal of 102121414024 is 420414121201.

It is a super-2 number, since 2×1021214140242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102121413986 and 102121414004.

It is not an unprimeable number, because it can be changed into a prime (102121414027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280839 + ... + 1358230.

It is an arithmetic number, because the mean of its divisors is an integer number (6848386650).

Almost surely, 2102121414024 is an apocalyptic number.

102121414024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102121414024 is an abundant number, since it is smaller than the sum of its proper divisors (117026958776).

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

102121414024 is a wasteful number, since it uses less digits than its factorization.

102121414024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639773 (or 2639769 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 102121414024 its reverse (420414121201), we get a palindrome (522535535225).

The spelling of 102121414024 in words is "one hundred two billion, one hundred twenty-one million, four hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 691 1382 2764 4837 5528 9674 19348 38696 2639069 5278138 10556276 18473483 21112552 36946966 73893932 147787864 1823596679 3647193358 7294386716 12765176753 14588773432 25530353506 51060707012 102121414024