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10145400324231 = 3313753160134747
BaseRepresentation
bin1001001110100010100011…
…1110111000000010000111
31022220220001101121000202010
42103220220332320002013
52312210234440333411
633324422122345303
72064660322613154
oct223505076700207
938826041530663
1010145400324231
113261704aa1737
12117a2b605b233
135879267a2133
1427107ba6922b
15128d89ce57a6
hex93a28fb8087

10145400324231 has 64 divisors (see below), whose sum is σ = 14621086642176. Its totient is φ = 6244273152000.

The previous prime is 10145400324211. The next prime is 10145400324281. The reversal of 10145400324231 is 13242300454101.

It is not a de Polignac number, because 10145400324231 - 29 = 10145400323719 is a prime.

It is a super-2 number, since 2×101454003242312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145400324211) 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, 291961800 + ... + 291996546.

It is an arithmetic number, because the mean of its divisors is an integer number (228454478784).

Almost surely, 210145400324231 is an apocalyptic number.

10145400324231 is a deficient number, since it is larger than the sum of its proper divisors (4475686317945).

10145400324231 is a wasteful number, since it uses less digits than its factorization.

10145400324231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36472.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10145400324231 its reverse (13242300454101), we get a palindrome (23387700778332).

The spelling of 10145400324231 in words is "ten trillion, one hundred forty-five billion, four hundred million, three hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 31 37 53 93 111 159 1147 1601 1643 1961 3441 4803 4929 5883 34747 49631 59237 60791 84853 104241 148893 177711 182373 254559 1077157 1285639 1836347 1841591 2630443 3139561 3231471 3856917 5509041 5524773 7891329 9418683 39854809 55629947 57089321 68138867 97326391 119564427 166889841 171267963 204416601 291979173 1724528357 2058308039 2112304877 2948387191 5173585071 6174924117 6336914631 8845161573 63807549209 91400002921 109090326067 191422647627 274200008763 327270978201 3381800108077 10145400324231