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106151412315 = 35132775033907
BaseRepresentation
bin110001011011100011…
…1100000001001011011
3101010222212121110120110
41202313013200021123
53214344230143230
6120433145055403
710445350055124
oct1426707401133
9333885543513
10106151412315
1141022783233
12186a5a87563
13a0190801a0
1451d000504b
152b642d04b0
hex18b71e025b

106151412315 has 64 divisors (see below), whose sum is σ = 183979385856. Its totient is φ = 51953674752.

The previous prime is 106151412313. The next prime is 106151412337. The reversal of 106151412315 is 513214151601.

It is not a de Polignac number, because 106151412315 - 21 = 106151412313 is a prime.

It is a super-2 number, since 2×1061514123152 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106151412313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27167592 + ... + 27171498.

It is an arithmetic number, because the mean of its divisors is an integer number (2874677904).

Almost surely, 2106151412315 is an apocalyptic number.

106151412315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106151412315 is a deficient number, since it is larger than the sum of its proper divisors (77827973541).

106151412315 is a wasteful number, since it uses less digits than its factorization.

106151412315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708.

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 106151412315 its reverse (513214151601), we get a palindrome (619365563916).

The spelling of 106151412315 in words is "one hundred six billion, one hundred fifty-one million, four hundred twelve thousand, three hundred fifteen".

Divisors: 1 3 5 13 15 39 65 195 277 503 831 1385 1509 2515 3601 3907 4155 6539 7545 10803 11721 18005 19535 19617 32695 50791 54015 58605 98085 139331 152373 253955 417993 696655 761865 1082239 1811303 1965221 2089965 3246717 5411195 5433909 5895663 9056515 9826105 14069107 16233585 25547873 27169545 29478315 42207321 70345535 76643619 127739365 211036605 383218095 544366217 1633098651 2721831085 7076760821 8165493255 21230282463 35383804105 106151412315