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10415231211 = 3721122292557
BaseRepresentation
bin10011011001100101…
…11101000011101011
3222212212002120021010
421230302331003223
5132312244344321
64441254315003
7516046001400
oct115462750353
928785076233
1010415231211
114465143400
122028058a63
13c9ca32708
1470b3702a7
1540e57e676
hex26ccbd0eb

10415231211 has 72 divisors (see below), whose sum is σ = 17840822160. Its totient is φ = 5384776320.

The previous prime is 10415231173. The next prime is 10415231221. The reversal of 10415231211 is 11213251401.

It is not a de Polignac number, because 10415231211 - 29 = 10415230699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10415231221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4071945 + ... + 4074501.

Almost surely, 210415231211 is an apocalyptic number.

10415231211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10415231211 is a deficient number, since it is larger than the sum of its proper divisors (7425590949).

10415231211 is a wasteful number, since it uses less digits than its factorization.

10415231211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 10415231211 its reverse (11213251401), we get a palindrome (21628482612).

The spelling of 10415231211 in words is "ten billion, four hundred fifteen million, two hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 7 11 21 33 49 77 121 147 229 231 363 539 687 847 1603 1617 2519 2541 2557 4809 5929 7557 7671 11221 17633 17787 17899 27709 28127 33663 52899 53697 83127 84381 123431 125293 193963 196889 309397 370293 375879 581889 585553 590667 928191 1357741 1378223 1756659 2165779 4073223 4098871 4134669 6441083 6497337 12296613 15160453 19323249 28692097 45087581 45481359 70851913 86076291 135262743 212555739 315613067 495963391 946839201 1487890173 3471743737 10415231211