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145800815831 = 111929212911299
BaseRepresentation
bin1000011111001001100…
…1111110010011010111
3111221100002221212002222
42013302121332103113
54342100002101311
6150551401252555
713351036325546
oct2076231762327
9457302855088
10145800815831
1156919839a10
122431049415b
13109975cabb8
1470b1bcc15d
153bd5111adb
hex21f267e4d7

145800815831 has 32 divisors (see below), whose sum is σ = 173296800000. Its totient is φ = 121172405760.

The previous prime is 145800815827. The next prime is 145800815833. The reversal of 145800815831 is 138518008541.

It is not a de Polignac number, because 145800815831 - 22 = 145800815827 is a prime.

It is a super-2 number, since 2×1458008158312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145800815833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12898220 + ... + 12909518.

It is an arithmetic number, because the mean of its divisors is an integer number (5415525000).

Almost surely, 2145800815831 is an apocalyptic number.

145800815831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145800815831 is a deficient number, since it is larger than the sum of its proper divisors (27495984169).

145800815831 is a wasteful number, since it uses less digits than its factorization.

145800815831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13487.

The product of its (nonzero) digits is 153600, while the sum is 44.

The spelling of 145800815831 in words is "one hundred forty-five billion, eight hundred million, eight hundred fifteen thousand, eight hundred thirty-one".

Divisors: 1 11 19 29 209 319 551 2129 6061 11299 23419 40451 61741 124289 214681 327671 444961 679151 1173079 2361491 3604381 6225749 12903869 24055571 68483239 264611281 457055849 697611559 5027614339 7673727149 13254619621 145800815831