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101214405 = 3257179401
BaseRepresentation
bin1100000100001…
…10100011000101
321001110020001200
412002012203011
5201402330110
614013213113
72336210505
oct602064305
9231406050
10101214405
1152150976
1229a91199
1317c7a4a6
14d629a05
158d446c0
hex60868c5

101214405 has 48 divisors (see below), whose sum is σ = 180610560. Its totient is φ = 52416000.

The previous prime is 101214391. The next prime is 101214409. The reversal of 101214405 is 504412101.

It is not a de Polignac number, because 101214405 - 26 = 101214341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101214409) 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, 252205 + ... + 252605.

It is an arithmetic number, because the mean of its divisors is an integer number (3762720).

Almost surely, 2101214405 is an apocalyptic number.

101214405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101214405 is a deficient number, since it is larger than the sum of its proper divisors (79396155).

101214405 is a wasteful number, since it uses less digits than its factorization.

101214405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 101214405 is about 10060.5370134998. The cubic root of 101214405 is about 466.0302512489.

Adding to 101214405 its reverse (504412101), we get a palindrome (605626506).

The spelling of 101214405 in words is "one hundred one million, two hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 9 15 45 71 79 213 237 355 395 401 639 711 1065 1185 1203 2005 3195 3555 3609 5609 6015 16827 18045 28045 28471 31679 50481 84135 85413 95037 142355 158395 252405 256239 285111 427065 475185 1281195 1425555 2249209 6747627 11246045 20242881 33738135 101214405