Search a number
-
+
213002041344 = 211334668301
BaseRepresentation
bin1100011001011111101…
…0010011100000000000
3202100210110220211011020
43012113322103200000
511442212010310334
6241503552545440
721250250323041
oct3062772234000
9670713824136
10213002041344
1182374110314
1235345b52280
1317116c57071
14a448c1c8c8
155819b7ae49
hex3197e93800

213002041344 has 48 divisors (see below), whose sum is σ = 567866786760. Its totient is φ = 71000678400.

The previous prime is 213002041339. The next prime is 213002041349. The reversal of 213002041344 is 443140200312.

It is an interprime number because it is at equal distance from previous prime (213002041339) and next prime (213002041349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2130020413442 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002041349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17328007 + ... + 17340294.

Almost surely, 2213002041344 is an apocalyptic number.

213002041344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213002041344 is an abundant number, since it is smaller than the sum of its proper divisors (354864745416).

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

213002041344 is an equidigital number, since it uses as much as digits as its factorization.

213002041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34668326 (or 34668306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213002041344 its reverse (443140200312), we get a palindrome (656142241656).

The spelling of 213002041344 in words is "two hundred thirteen billion, two million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 34668301 69336602 104004903 138673204 208009806 277346408 416019612 554692816 832039224 1109385632 1664078448 2218771264 3328156896 4437542528 6656313792 8875085056 13312627584 17750170112 26625255168 35500340224 53250510336 71000680448 106501020672 213002041344