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210031213120 = 2653132096957
BaseRepresentation
bin1100001110011011010…
…1011111101001000000
3202002010102210002222021
43003212311133221000
511420120442304440
6240253105451224
721113524566211
oct3034665375100
9662112702867
10210031213120
118108a165083
1234857040b14
1316a62617841
14a24644b408
1556e3e4a84a
hex30e6d5fa40

210031213120 has 56 divisors (see below), whose sum is σ = 501734946744. Its totient is φ = 83744034816.

The previous prime is 210031213109. The next prime is 210031213121. The reversal of 210031213120 is 21312130012.

210031213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9878769664 + 200152443456 = 99392^2 + 447384^2 .

It is a super-2 number, since 2×2100312131202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210031213094 and 210031213103.

It is not an unprimeable number, because it can be changed into a prime (210031213121) 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 7 ways as a sum of consecutive naturals, for example, 948319 + ... + 1148638.

Almost surely, 2210031213120 is an apocalyptic number.

210031213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210031213120 is an abundant number, since it is smaller than the sum of its proper divisors (291703733624).

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

210031213120 is a wasteful number, since it uses less digits than its factorization.

210031213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097287 (or 2097277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210031213120 its reverse (21312130012), we get a palindrome (231343343132).

The spelling of 210031213120 in words is "two hundred ten billion, thirty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 313 320 626 1252 1565 2504 3130 5008 6260 10016 12520 20032 25040 50080 100160 2096957 4193914 8387828 10484785 16775656 20969570 33551312 41939140 67102624 83878280 134205248 167756560 335513120 656347541 671026240 1312695082 2625390164 3281737705 5250780328 6563475410 10501560656 13126950820 21003121312 26253901640 42006242624 52507803280 105015606560 210031213120