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210211101101142 = 232192330137886751
BaseRepresentation
bin101111110010111110010110…
…000000100100110001010110
31000120021222121001211100211100
4233302332112000210301112
5210023044313340214032
62023025351403450530
762164152022511361
oct5762762600446126
91016258531740740
10210211101101142
1160a8603341a119
121b6b03a0526a46
13903aa8b59b96b
1439ca3b33010d8
151948116d1697c
hexbf2f96024c56

210211101101142 has 96 divisors (see below), whose sum is σ = 500290722846720. Its totient is φ = 63494080848000.

The previous prime is 210211101101101. The next prime is 210211101101143. The reversal of 210211101101142 is 241101101112012.

210211101101142 is a `hidden beast` number, since 210 + 211 + 1 + 0 + 1 + 101 + 142 = 666.

210211101101142 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210211101101143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236614267 + ... + 237501017.

It is an arithmetic number, because the mean of its divisors is an integer number (5211361696320).

Almost surely, 2210211101101142 is an apocalyptic number.

210211101101142 is an abundant number, since it is smaller than the sum of its proper divisors (290079621745578).

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

210211101101142 is a wasteful number, since it uses less digits than its factorization.

210211101101142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916938 (or 916935 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210211101101142 its reverse (241101101112012), we get a palindrome (451312202213154).

The spelling of 210211101101142 in words is "two hundred ten trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 2622 3933 7866 30137 60274 90411 180822 271233 542466 572603 693151 886751 1145206 1386302 1717809 1773502 2079453 2660253 3435618 4158906 5153427 5320506 6238359 7980759 10306854 12476718 13169869 15961518 16848269 20395273 26339738 33696538 39509607 40790546 50544807 61185819 79019214 101089614 118528821 122371638 151634421 183557457 237057642 303268842 367114914 387510187 775020374 1162530561 2325061122 3487591683 6975183366 26724014887 53448029774 80172044661 160344089322 240516133983 481032267966 507756282853 614652342401 1015512565706 1229304684802 1523268848559 1843957027203 3046537697118 3687914054406 4569806545677 5531871081609 9139613091354 11063742163218 11678394505619 23356789011238 35035183516857 70070367033714 105105550550571 210211101101142