Search a number
-
+
210342024024 = 233116471231453
BaseRepresentation
bin1100001111100101011…
…1001001001101011000
3202002221002121221101020
43003321113021031120
511421240024232044
6240344011322440
721124320463356
oct3037127111530
9662832557336
10210342024024
11812296529a0
1234923150420
1316ab1b2c312
14a2758367d6
155711392a19
hex30f95c9358

210342024024 has 64 divisors (see below), whose sum is σ = 574547178240. Its totient is φ = 63641439360.

The previous prime is 210342024023. The next prime is 210342024043. The reversal of 210342024024 is 420420243012.

210342024024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 210342023985 and 210342024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210342024023) 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 15 ways as a sum of consecutive naturals, for example, 444919 + ... + 786534.

It is an arithmetic number, because the mean of its divisors is an integer number (8977299660).

Almost surely, 2210342024024 is an apocalyptic number.

210342024024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

210342024024 is an abundant number, since it is smaller than the sum of its proper divisors (364205154216).

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

210342024024 is a wasteful number, since it uses less digits than its factorization.

210342024024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232120 (or 1232116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 210342024024 its reverse (420420243012), we get a palindrome (630762267036).

The spelling of 210342024024 in words is "two hundred ten billion, three hundred forty-two million, twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 647 1294 1941 2588 3882 5176 7117 7764 14234 15528 21351 28468 42702 56936 85404 170808 1231453 2462906 3694359 4925812 7388718 9851624 13545983 14777436 27091966 29554872 40637949 54183932 81275898 108367864 162551796 325103592 796750091 1593500182 2390250273 3187000364 4780500546 6374000728 8764251001 9561001092 17528502002 19122002184 26292753003 35057004004 52585506006 70114008008 105171012012 210342024024