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10141430430213 = 32171927017129127
BaseRepresentation
bin1001001110010011110001…
…0110111011101000000101
31022220111210201112111221100
42103210330112323220011
52312124122142231323
633322524150010313
72064460046226135
oct223447426735005
938814721474840
1010141430430213
11325aa58100595
121179588646999
13587443191a14
14270bc2710ac5
15128c0651a943
hex9393c5bba05

10141430430213 has 48 divisors (see below), whose sum is σ = 16327491822720. Its totient is φ = 6028072731648.

The previous prime is 10141430430211. The next prime is 10141430430221. The reversal of 10141430430213 is 31203403414101.

10141430430213 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 14 + 3 + 0 + 430 + 213 = 666.

10141430430213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141430430213 - 21 = 10141430430211 is a prime.

It is a super-2 number, since 2×101414304302132 (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 (10141430430211) 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, 78473856 + ... + 78602982.

It is an arithmetic number, because the mean of its divisors is an integer number (340156079640).

Almost surely, 210141430430213 is an apocalyptic number.

It is an amenable number.

10141430430213 is a deficient number, since it is larger than the sum of its proper divisors (6186061392507).

10141430430213 is a wasteful number, since it uses less digits than its factorization.

10141430430213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156186 (or 156183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10141430430213 its reverse (31203403414101), we get a palindrome (41344833844314).

The spelling of 10141430430213 in words is "ten trillion, one hundred forty-one billion, four hundred thirty million, four hundred thirty thousand, two hundred thirteen".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 27017 81051 129127 243153 387381 459289 513323 1162143 1377867 1539969 2195159 2453413 4133601 4619907 6585477 7360239 8726491 19756431 22080717 26179473 41708021 78538419 125124063 375372189 3488624159 10465872477 31397617431 59306610703 66283859021 177919832109 198851577063 533759496327 596554731189 1126825603357 3380476810071 10141430430213