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101244204402341 = 73111311931730213
BaseRepresentation
bin10111000001010011000000…
…110101101100011010100101
3111021110211222200101221111212
4113001103000311230122211
5101232241112311333331
6555154540113041205
730216436524104000
oct2701230065543245
9437424880357455
10101244204402341
112a294475a54a90
12b43197b256205
134465397870930
141b00362068537
15ba88da140d2b
hex5c14c0d6c6a5

101244204402341 has 64 divisors (see below), whose sum is σ = 138826834675200. Its totient is φ = 72761920197120.

The previous prime is 101244204402337. The next prime is 101244204402391. The reversal of 101244204402341 is 143204402442101.

It is not a de Polignac number, because 101244204402341 - 22 = 101244204402337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101244204402298 and 101244204402307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101244204402311) 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, 57650351 + ... + 59380563.

It is an arithmetic number, because the mean of its divisors is an integer number (2169169291800).

Almost surely, 2101244204402341 is an apocalyptic number.

101244204402341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101244204402341 is a deficient number, since it is larger than the sum of its proper divisors (37582630272859).

101244204402341 is a wasteful number, since it uses less digits than its factorization.

101244204402341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731451 (or 1731437 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 101244204402341 its reverse (143204402442101), we get a palindrome (244448606844442).

It can be divided in two parts, 101 and 244204402341, that added together give a palindrome (244204402442).

The spelling of 101244204402341 in words is "one hundred one trillion, two hundred forty-four billion, two hundred four million, four hundred two thousand, three hundred forty-one".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 1193 3773 4459 7007 8351 13123 15509 49049 58457 91861 108563 170599 409199 643027 759941 1194193 1730213 4501189 5319587 8359351 12111491 19032343 22492769 58515457 84780437 133226401 157449383 247420459 593463059 932584807 1102145681 1731943213 2064144109 6528093649 7715019767 12123602491 14449008763 22705585199 26833873417 84865217437 101143061341 158939096393 187837113919 295172607587 708001429387 1112573674751 1314859797433 2066208253109 7788015723257 9204018582031 14463457771763 101244204402341