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102221103302241 = 371119127195193997
BaseRepresentation
bin10111001111100000110100…
…100011010000011001100001
3111101221020112110000220010220
4113033200310203100121201
5101344242304421132431
61001223420534513253
730350142142536660
oct2717406443203141
9441836473026126
10102221103302241
112a6307a9a08510
12b56b174805829
134506540b3cb71
141b357563c6dd7
15bc4013776b96
hex5cf8348d0661

102221103302241 has 128 divisors (see below), whose sum is σ = 180372205731840. Its totient is φ = 49884805152000.

The previous prime is 102221103302209. The next prime is 102221103302267. The reversal of 102221103302241 is 142203301122201.

It is not a de Polignac number, because 102221103302241 - 25 = 102221103302209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221103302141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1087446255 + ... + 1087540251.

It is an arithmetic number, because the mean of its divisors is an integer number (1409157857280).

Almost surely, 2102221103302241 is an apocalyptic number.

102221103302241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102221103302241 is a deficient number, since it is larger than the sum of its proper divisors (78151102429599).

102221103302241 is a wasteful number, since it uses less digits than its factorization.

102221103302241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96115.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102221103302241 its reverse (142203301122201), we get a palindrome (244424404424442).

The spelling of 102221103302241 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred three million, three hundred two thousand, two hundred forty-one".

Divisors: 1 3 7 11 19 21 33 57 77 127 133 209 231 381 399 627 889 1397 1463 1951 2413 2667 4191 4389 5853 7239 9779 13657 16891 21461 26543 29337 37069 40971 50673 64383 79629 93997 111207 150227 185801 247777 259483 281991 407759 450681 557403 657979 743331 778449 1033967 1223277 1734439 1785943 1973937 2725547 2854313 3101901 4707763 5203317 5357829 7237769 8176641 8562939 11937619 12501601 14123289 19078829 19645373 21713307 32954341 35812857 37504803 51785393 57236487 58936119 83563333 98863023 131313809 137517611 155356179 183388147 226814761 250689999 362497751 393941427 412552833 550164441 680444283 919196663 1087493253 1283717029 1587703327 2017269617 2494962371 2757589989 3484374793 3851151087 4763109981 6051808851 7484887113 10453124379 14120887319 17464736597 23290294669 24390623551 38328122723 42362661957 52394209791 69870884007 73171870653 114984368169 163032062683 256193241359 268296859061 442515598711 489096188049 768579724077 804890577183 1327546796133 1793352689513 3097609190977 4867671585821 5380058068539 9292827572931 14603014757463 34073701100747 102221103302241