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210112001001 = 34717311511861
BaseRepresentation
bin1100001110101110100…
…1101011001111101001
3202002100001210120010000
43003223221223033221
511420302133013001
6240305113213213
721115525353330
oct3035351531751
9662301716100
10210112001001
1181120824221
123487a101209
1316a76292716
14a25307ad17
1556eb0a7a86
hex30eba6b3e9

210112001001 has 80 divisors (see below), whose sum is σ = 361290682368. Its totient is φ = 119202192000.

The previous prime is 210112000963. The next prime is 210112001009. The reversal of 210112001001 is 100100211012.

It is a happy number.

It is not a de Polignac number, because 210112001001 - 27 = 210112000873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210112001009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112901811 + ... + 112903671.

Almost surely, 2210112001001 is an apocalyptic number.

210112001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210112001001 is a deficient number, since it is larger than the sum of its proper divisors (151178681367).

210112001001 is a wasteful number, since it uses less digits than its factorization.

210112001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210112001001 its reverse (100100211012), we get a palindrome (310212212013).

The spelling of 210112001001 in words is "two hundred ten billion, one hundred twelve million, one thousand, one".

Divisors: 1 3 7 9 21 27 63 81 173 189 519 567 1151 1211 1557 1861 3453 3633 4671 5583 8057 10359 10899 13027 14013 16749 24171 31077 32697 39081 50247 72513 93231 98091 117243 150741 199123 217539 321953 351729 597369 652617 965859 1055187 1393861 1792107 2142011 2253671 2897577 4181583 5376321 6426033 6761013 8692731 12544749 14994077 16128963 19278099 20283039 26078193 37634247 44982231 57834297 60849117 112902741 134946693 173502891 182547351 370567903 404840079 1111703709 1214520237 2593975321 3335111127 7781925963 10005333381 23345777889 30016000143 70037333667 210112001001