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210025142350201 = 29328371050124061
BaseRepresentation
bin101111110000010001001010…
…000000001111000101111001
31000112122012121021122000222101
4233300101022000033011321
5210012022442420201301
62022404115102223401
762144546550302503
oct5760211200170571
91015565537560871
10210025142350201
1160a14187570192
121b680343284b61
1390263942a18a9
1439c13b1d92d73
151943381422701
hexbf044a00f179

210025142350201 has 16 divisors (see below), whose sum is σ = 210845073490128. Its totient is φ = 209205934560000.

The previous prime is 210025142350157. The next prime is 210025142350271. The reversal of 210025142350201 is 102053241520012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10371774834576 + 199653367515625 = 3220524^2 + 14129875^2 .

It is a cyclic number.

It is not a de Polignac number, because 210025142350201 - 213 = 210025142342009 is a prime.

It is a super-2 number, since 2×2100251423502012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 210025142350201.

It is not an unprimeable number, because it can be changed into a prime (210025142350271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8728849711 + ... + 8728873771.

It is an arithmetic number, because the mean of its divisors is an integer number (13177817093133).

Almost surely, 2210025142350201 is an apocalyptic number.

It is an amenable number.

210025142350201 is a deficient number, since it is larger than the sum of its proper divisors (819931139927).

210025142350201 is a wasteful number, since it uses less digits than its factorization.

210025142350201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37692.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 210025142350201 its reverse (102053241520012), we get a palindrome (312078383870213).

The spelling of 210025142350201 in words is "two hundred ten trillion, twenty-five billion, one hundred forty-two million, three hundred fifty thousand, two hundred one".

Divisors: 1 293 2837 10501 24061 831241 3076793 7049873 29791337 68261057 252664561 8728861741 20000489701 74030716373 716809359557 210025142350201