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10127212477 = 171979396881
BaseRepresentation
bin10010110111010000…
…01111111110111101
3222010210010200211121
421123220033332331
5131220031244402
64352525150541
7505650612544
oct113350177675
928123120747
1010127212477
114327602698
121b676bb451
13c5516b225
146c0dd915b
153e413a837
hex25ba0ffbd

10127212477 has 16 divisors (see below), whose sum is σ = 11430201600. Its totient is φ = 8915512320.

The previous prime is 10127212457. The next prime is 10127212523. The reversal of 10127212477 is 77421272101.

10127212477 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10127212477 - 231 = 7979728829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127212457) 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, 172924 + ... + 223957.

It is an arithmetic number, because the mean of its divisors is an integer number (714387600).

Almost surely, 210127212477 is an apocalyptic number.

10127212477 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10127212477 is a deficient number, since it is larger than the sum of its proper divisors (1302989123).

10127212477 is a wasteful number, since it uses less digits than its factorization.

10127212477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396996.

The product of its (nonzero) digits is 10976, while the sum is 34.

Adding to 10127212477 its reverse (77421272101), we get a palindrome (87548484578).

The spelling of 10127212477 in words is "ten billion, one hundred twenty-seven million, two hundred twelve thousand, four hundred seventy-seven".

Divisors: 1 17 19 79 323 1343 1501 25517 396881 6746977 7540739 31353599 128192563 533011183 595718381 10127212477