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241005220101129 = 311893111513717431
BaseRepresentation
bin110110110011000101100110…
…100010000111110000001001
31011121022212121011112002220210
4312303011212202013300021
5223042112142321214004
62212324134125111333
7101523024011302161
oct6663054642076011
91147285534462823
10241005220101129
116a878815832580
12230445146b8549
13a4629054554c3
144372a0193d5a1
151cce173954089
hexdb3166887c09

241005220101129 has 64 divisors (see below), whose sum is σ = 355675588669440. Its totient is φ = 143940453888000.

The previous prime is 241005220101127. The next prime is 241005220101161. The reversal of 241005220101129 is 921101022500142.

It is not a de Polignac number, because 241005220101129 - 21 = 241005220101127 is a prime.

It is a super-2 number, since 2×2410052201011292 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241005220101096 and 241005220101105.

It is not an unprimeable number, because it can be changed into a prime (241005220101127) 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, 13826233044 + ... + 13826250474.

It is an arithmetic number, because the mean of its divisors is an integer number (5557431072960).

Almost surely, 2241005220101129 is an apocalyptic number.

It is an amenable number.

241005220101129 is a deficient number, since it is larger than the sum of its proper divisors (114670368568311).

241005220101129 is a wasteful number, since it uses less digits than its factorization.

241005220101129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32982.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 241005220101129 in words is "two hundred forty-one trillion, five billion, two hundred twenty million, one hundred one thousand, one hundred twenty-nine".

Divisors: 1 3 11 33 89 267 311 933 979 2937 3421 10263 15137 17431 27679 45411 52293 83037 166507 191741 304469 499521 575223 913407 1347193 1551359 4041579 4654077 4707607 5421041 14122821 14819123 16263123 17064949 44457369 51194847 51783677 59631451 155351031 178894353 263853047 418977023 482472649 791559141 1256931069 1447417947 2902383517 4608747253 5307199139 8707150551 13826241759 15921597417 23482921183 70448763549 82058297617 246174892851 258312133013 774936399039 902641273787 2707923821361 7303188487913 21909565463739 80335073367043 241005220101129