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213442501300 = 22527437091113
BaseRepresentation
bin1100011011001000101…
…0100001101010110100
3202101221011201111121221
43012302022201222310
511444112240020200
6242015405320124
721264206216620
oct3066212415264
9671834644557
10213442501300
118257a800406
1235449566044
1317187293662
14a48b516180
15584368291a
hex31b22a1ab4

213442501300 has 72 divisors (see below), whose sum is σ = 541647651776. Its totient is φ = 71478408960.

The previous prime is 213442501297. The next prime is 213442501303. The reversal of 213442501300 is 3105244312.

It is an interprime number because it is at equal distance from previous prime (213442501297) and next prime (213442501303).

It is a super-2 number, since 2×2134425013002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213442501303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3515457 + ... + 3575656.

Almost surely, 2213442501300 is an apocalyptic number.

213442501300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213442501300 is an abundant number, since it is smaller than the sum of its proper divisors (328205150476).

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

213442501300 is a wasteful number, since it uses less digits than its factorization.

213442501300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7091177 (or 7091170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 213442501300 its reverse (3105244312), we get a palindrome (216547745612).

The spelling of 213442501300 in words is "two hundred thirteen billion, four hundred forty-two million, five hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100 7091113 14182226 28364452 35455565 49637791 70911130 99275582 141822260 177277825 198551164 248188955 304917859 354555650 496377910 609835718 709111300 992755820 1219671436 1240944775 1524589295 2134425013 2481889550 3049178590 4268850026 4963779100 6098357180 7622946475 8537700052 10672125065 15245892950 21344250130 30491785900 42688500260 53360625325 106721250650 213442501300