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213332302100 = 225219831352773
BaseRepresentation
bin1100011010101110011…
…0001001100100010100
3202101122111100210202002
43012223212021210110
511443401032131400
6242000431334432
721261400435301
oct3065346114424
9671574323662
10213332302100
1182523583095
1235418681418
131716a4bb728
14a47aa2c0a8
155838b65ed5
hex31ab989914

213332302100 has 72 divisors (see below), whose sum is σ = 493167289440. Its totient is φ = 79867658880.

The previous prime is 213332302037. The next prime is 213332302163. The reversal of 213332302100 is 1203233312.

213332302100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213332302037) and next prime (213332302163).

It is a super-2 number, since 2×2133323021002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 518687 + ... + 834086.

Almost surely, 2213332302100 is an apocalyptic number.

213332302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213332302100 is an abundant number, since it is smaller than the sum of its proper divisors (279834987340).

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

213332302100 is a wasteful number, since it uses less digits than its factorization.

213332302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352889 (or 1352882 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 213332302100 its reverse (1203233312), we get a palindrome (214535535412).

The spelling of 213332302100 in words is "two hundred thirteen billion, three hundred thirty-two million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 166 190 332 380 415 475 830 950 1577 1660 1900 2075 3154 4150 6308 7885 8300 15770 31540 39425 78850 157700 1352773 2705546 5411092 6763865 13527730 25702687 27055460 33819325 51405374 67638650 102810748 112280159 128513435 135277300 224560318 257026870 449120636 514053740 561400795 642567175 1122801590 1285134350 2133323021 2245603180 2570268700 2807003975 4266646042 5614007950 8533292084 10666615105 11228015900 21333230210 42666460420 53333075525 106666151050 213332302100