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107150146737315 = 35113120948220281
BaseRepresentation
bin11000010111001111010110…
…011011110001010010100011
3112001101110020221212001021220
4120113033112123301102203
5103021022000031043230
61015520033045550123
731366225344464343
oct3027172633612243
9461343227761256
10107150146737315
1131161138486580
12100264bb415343
1347a32a5549826
141c661480b4d23
15c5c34b8d5d10
hex6173d66f14a3

107150146737315 has 32 divisors (see below), whose sum is σ = 193058798118912. Its totient is φ = 50275728672000.

The previous prime is 107150146737301. The next prime is 107150146737341. The reversal of 107150146737315 is 513737641051701.

It is not a de Polignac number, because 107150146737315 - 222 = 107150142543011 is a prime.

It is a super-4 number, since 4×1071501467373154 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10474105026 + ... + 10474115255.

It is an arithmetic number, because the mean of its divisors is an integer number (6033087441216).

Almost surely, 2107150146737315 is an apocalyptic number.

107150146737315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107150146737315 is a deficient number, since it is larger than the sum of its proper divisors (85908651381597).

107150146737315 is a wasteful number, since it uses less digits than its factorization.

107150146737315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20948220331.

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 107150146737315 in words is "one hundred seven trillion, one hundred fifty billion, one hundred forty-six million, seven hundred thirty-seven thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 20948220281 62844660843 104741101405 230430423091 314223304215 649394828711 691291269273 1152152115455 1948184486133 3246974143555 3456456346365 7143343115821 9740922430665 21430029347463 35716715579105 107150146737315