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141213132123201 = 36647299394127
BaseRepresentation
bin100000000110111010111110…
…100100111110110001000001
3200111222211202222100122000000
4200012322332210332301001
5122002113443310420301
61220200230050350213
741513212025142435
oct4006727644766101
9614884688318000
10141213132123201
1140aa4175734916
1213a0807428b369
1360a445887a0b8
1426c2a759349c5
15114d427026786
hex806ebe93ec41

141213132123201 has 28 divisors (see below), whose sum is σ = 212050082673792. Its totient is φ = 93996582222456.

The previous prime is 141213132123127. The next prime is 141213132123211. The reversal of 141213132123201 is 102321231312141.

141213132123201 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 313 + 21 + 2 + 320 + 1 = 666.

It is not a de Polignac number, because 141213132123201 - 213 = 141213132115009 is a prime.

It is a super-2 number, since 2×1412131321232012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (141213132123211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 149225401 + ... + 150168726.

Almost surely, 2141213132123201 is an apocalyptic number.

It is an amenable number.

141213132123201 is a deficient number, since it is larger than the sum of its proper divisors (70836950550591).

141213132123201 is an frugal number, since it uses more digits than its factorization.

141213132123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299394792 (or 299394777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 141213132123201 its reverse (102321231312141), we get a palindrome (243534363435342).

The spelling of 141213132123201 in words is "one hundred forty-one trillion, two hundred thirteen billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 243 647 729 1941 5823 17469 52407 157221 471663 299394127 898182381 2694547143 8083641429 24250924287 72752772861 193708000169 218258318583 581124000507 1743372001521 5230116004563 15690348013689 47071044041067 141213132123201