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105148159347 = 3721165026691
BaseRepresentation
bin110000111101101010…
…0011001010101110011
3101001101221210221020010
41201323110121111303
53210320412044342
6120145425550003
710411445415300
oct1417324312563
9331357727203
10105148159347
1140658438450
1218465aa5303
139bb927448a
145136a8c0a7
152b061aa29c
hex187b519573

105148159347 has 24 divisors (see below), whose sum is σ = 177913029312. Its totient is φ = 54622419600.

The previous prime is 105148159321. The next prime is 105148159349. The reversal of 105148159347 is 743951841501.

It is not a de Polignac number, because 105148159347 - 214 = 105148142963 is a prime.

It is a super-2 number, since 2×1051481593472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105148159296 and 105148159305.

It is not an unprimeable number, because it can be changed into a prime (105148159349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32511729 + ... + 32514962.

It is an arithmetic number, because the mean of its divisors is an integer number (7413042888).

Almost surely, 2105148159347 is an apocalyptic number.

105148159347 is a deficient number, since it is larger than the sum of its proper divisors (72764869965).

105148159347 is a wasteful number, since it uses less digits than its factorization.

105148159347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65026719 (or 65026712 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 105148159347 in words is "one hundred five billion, one hundred forty-eight million, one hundred fifty-nine thousand, three hundred forty-seven".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 1617 65026691 195080073 455186837 715293601 1365560511 2145880803 3186307859 5007055207 9558923577 15021165621 35049386449 105148159347