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212320301100 = 223522412936657
BaseRepresentation
bin1100010110111101000…
…1101011000000101100
3202022000222002211100120
43011233101223000230
511434312444113400
6241312200524540
721224331532125
oct3055721530054
9668028084316
10212320301100
1182054302826
1235195780750
131703893bc7b
14a3c247904c
1557c9db3ca0
hex316f46b02c

212320301100 has 72 divisors (see below), whose sum is σ = 616862632848. Its totient is φ = 56383795200.

The previous prime is 212320301093. The next prime is 212320301107. The reversal of 212320301100 is 1103023212.

It is an interprime number because it is at equal distance from previous prime (212320301093) and next prime (212320301107).

It is a super-2 number, since 2×2123203011002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212320301100.

It is not an unprimeable number, because it can be changed into a prime (212320301107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396029 + ... + 1540628.

Almost surely, 2212320301100 is an apocalyptic number.

212320301100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320301100 is an abundant number, since it is smaller than the sum of its proper divisors (404542331748).

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

212320301100 is a wasteful number, since it uses less digits than its factorization.

212320301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936915 (or 2936908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212320301100 its reverse (1103023212), we get a palindrome (213423324312).

The spelling of 212320301100 in words is "two hundred twelve billion, three hundred twenty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 18075 24100 36150 72300 2936657 5873314 8809971 11746628 14683285 17619942 29366570 35239884 44049855 58733140 73416425 88099710 146832850 176199420 220249275 293665700 440498550 707734337 880997100 1415468674 2123203011 2830937348 3538671685 4246406022 7077343370 8492812044 10616015055 14154686740 17693358425 21232030110 35386716850 42464060220 53080075275 70773433700 106160150550 212320301100