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138212211841 = 11197110192219
BaseRepresentation
bin1000000010111000010…
…1101111110010000001
3111012202020122211102221
42000232011233302001
54231024311234331
6143254355211041
712662012262634
oct2005605576201
9435666584387
10138212211841
1153685210470
1222952ba6a81
1310058389492
146992013c1b
1538ddccb711
hex202e16fc81

138212211841 has 32 divisors (see below), whose sum is σ = 162543283200. Its totient is φ = 116194680000.

The previous prime is 138212211833. The next prime is 138212211859. The reversal of 138212211841 is 148112212831.

It is a cyclic number.

It is not a de Polignac number, because 138212211841 - 23 = 138212211833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138212211797 and 138212211806.

It is not an unprimeable number, because it can be changed into a prime (138212211871) 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, 1452630 + ... + 1544848.

It is an arithmetic number, because the mean of its divisors is an integer number (5079477600).

Almost surely, 2138212211841 is an apocalyptic number.

138212211841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138212211841 is a deficient number, since it is larger than the sum of its proper divisors (24331071359).

138212211841 is a wasteful number, since it uses less digits than its factorization.

138212211841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92421.

The product of its digits is 6144, while the sum is 34.

It can be divided in two parts, 138212 and 211841, that added together give a palindrome (350053).

The spelling of 138212211841 in words is "one hundred thirty-eight billion, two hundred twelve million, two hundred eleven thousand, eight hundred forty-one".

Divisors: 1 11 19 71 101 209 781 1111 1349 1919 7171 14839 21109 78881 92219 136249 1014409 1498739 1752161 6547549 9314119 19273771 72023039 102455309 124403431 176968261 661302449 1368437741 1946650871 7274326939 12564746531 138212211841