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213141323000 = 23531311627033
BaseRepresentation
bin1100011010000000110…
…1100111110011111000
3202101011012000001200002
43012200031213303320
511443003134314000
6241525450132132
721253561232024
oct3064015476370
9671135001602
10213141323000
11824357a1721
1235384721048
1317139a72448
14a45d517384
155826ede8d5
hex31a0367cf8

213141323000 has 64 divisors (see below), whose sum is σ = 502558261920. Its totient is φ = 84605664000.

The previous prime is 213141322993. The next prime is 213141323009. The reversal of 213141323000 is 323141312.

213141323000 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141323009) 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, 682517 + ... + 944516.

Almost surely, 2213141323000 is an apocalyptic number.

213141323000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213141323000 is an abundant number, since it is smaller than the sum of its proper divisors (289416938920).

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

213141323000 is a wasteful number, since it uses less digits than its factorization.

213141323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627185 (or 1627171 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213141323000 its reverse (323141312), we get a palindrome (213464464312).

The spelling of 213141323000 in words is "two hundred thirteen billion, one hundred forty-one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 32750 65500 131000 1627033 3254066 6508132 8135165 13016264 16270330 32540660 40675825 65081320 81351650 162703300 203379125 213141323 325406600 406758250 426282646 813516500 852565292 1065706615 1627033000 1705130584 2131413230 4262826460 5328533075 8525652920 10657066150 21314132300 26642665375 42628264600 53285330750 106570661500 213141323000