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10127207211 = 3112323715679
BaseRepresentation
bin10010110111010000…
…01110101100101011
3222010210010102121120
421123220032230223
5131220031112321
64352525110323
7505650561312
oct113350165453
928123112546
1010127207211
1143275a9740
121b676b83a3
13c55168a04
146c0dd7279
153e4138ec6
hex25ba0eb2b

10127207211 has 48 divisors (see below), whose sum is σ = 15815976960. Its totient is φ = 5711808960.

The previous prime is 10127207197. The next prime is 10127207227. The reversal of 10127207211 is 11270272101.

10127207211 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10127207211 - 29 = 10127206699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10127207261) 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, 638070 + ... + 653748.

It is an arithmetic number, because the mean of its divisors is an integer number (329499520).

Almost surely, 210127207211 is an apocalyptic number.

10127207211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10127207211 is a deficient number, since it is larger than the sum of its proper divisors (5688769749).

10127207211 is a wasteful number, since it uses less digits than its factorization.

10127207211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15776 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

Adding to 10127207211 its reverse (11270272101), we get a palindrome (21397479312).

The spelling of 10127207211 in words is "ten billion, one hundred twenty-seven million, two hundred seven thousand, two hundred eleven".

Divisors: 1 3 11 23 33 37 69 111 253 407 529 759 851 1221 1587 2553 5819 9361 15679 17457 19573 28083 47037 58719 172469 215303 360617 517407 580123 645909 1081851 1740369 3966787 6381353 8294191 11900361 13342829 19144059 24882573 40028487 91236101 146771119 273708303 306885067 440313357 920655201 3375735737 10127207211