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105341344121502 = 23217976475485313
BaseRepresentation
bin10111111100111010110001…
…011001011000001010011110
3111210222112102101121200000100
4113330322301121120022132
5102301403033043342002
61012013051224241530
731121442465103326
oct2774726131301236
9453875371550010
10105341344121502
1130624016571395
12b993a370102a6
1346a1852703b18
141c027965d2286
15c2a28419011c
hex5fceb165829e

105341344121502 has 96 divisors (see below), whose sum is σ = 244534244939712. Its totient is φ = 32657002463232.

The previous prime is 105341344121479. The next prime is 105341344121539. The reversal of 105341344121502 is 205121443143501.

105341344121502 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 134 + 4 + 12 + 1 + 502 = 666.

It is a super-2 number, since 2×1053413441215022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16461598 + ... + 21946910.

It is an arithmetic number, because the mean of its divisors is an integer number (2547231718122).

Almost surely, 2105341344121502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105341344121502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122267122469856).

105341344121502 is an abundant number, since it is smaller than the sum of its proper divisors (139192900818210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105341344121502 is a wasteful number, since it uses less digits than its factorization.

105341344121502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486082 (or 5486079 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 105341344121502 in words is "one hundred five trillion, three hundred forty-one billion, three hundred forty-four million, one hundred twenty-one thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 97 102 153 194 291 306 582 647 873 1294 1649 1746 1941 3298 3882 4947 5823 9894 10999 11646 14841 21998 29682 32997 62759 65994 98991 125518 188277 197982 376554 564831 1066903 1129662 2133806 3200709 5485313 6401418 9602127 10970626 16455939 19204254 32911878 49367817 93250321 98735634 186500642 279750963 532075361 559501926 839252889 1064150722 1596226083 1678505778 3192452166 3548997511 4788678249 7097995022 9045281137 9577356498 10646992533 18090562274 21293985066 27135843411 31940977599 54271686822 60332957687 63881955198 81407530233 120665915374 162815060466 180998873061 344252758567 361997746122 542996619183 688505517134 1032758275701 1085993238366 2065516551402 3098274827103 5852296895639 6196549654206 11704593791278 17556890686917 35113781373834 52670672060751 105341344121502