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41023314313100 = 22527263407954629
BaseRepresentation
bin10010101001111011111000…
…00100111011111110001100
312101020210100022100020220022
421110331330010323332030
520334111221431004400
6223125503405241312
711432556654144050
oct1124757404737614
9171223308306808
1041023314313100
11120869874aa519
124726714b63238
1319b7635a92032
14a1b77906bc60
154b219d17cb85
hex254f7c13bf8c

41023314313100 has 144 divisors (see below), whose sum is σ = 102151561881600. Its totient is φ = 14007965233920.

The previous prime is 41023314313081. The next prime is 41023314313117. The reversal of 41023314313100 is 131341332014.

It is a super-2 number, since 2×410233143131002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41023314313100.

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, 750916586 + ... + 750971214.

It is an arithmetic number, because the mean of its divisors is an integer number (709385846400).

Almost surely, 241023314313100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41023314313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51075780940800).

41023314313100 is an abundant number, since it is smaller than the sum of its proper divisors (61128247568500).

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

41023314313100 is a wasteful number, since it uses less digits than its factorization.

41023314313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58992 (or 58985 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 41023314313100 its reverse (131341332014), we get a palindrome (41154655645114).

The spelling of 41023314313100 in words is "forty-one trillion, twenty-three billion, three hundred fourteen million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 263 350 526 700 1052 1315 1841 2630 3682 4079 5260 6575 7364 8158 9205 13150 16316 18410 20395 26300 28553 36820 40790 46025 54629 57106 81580 92050 101975 109258 114212 142765 184100 203950 218516 273145 285530 382403 407900 546290 571060 713825 764806 1072777 1092580 1365725 1427650 1529612 1912015 2145554 2731450 2855300 3824030 4291108 5363885 5462900 7509439 7648060 9560075 10727770 14367427 15018878 19120150 21455540 26819425 28734854 30037756 37547195 38240300 53638850 57469708 71837135 75094390 100571989 107277700 143674270 150188780 187735975 201143978 222831691 287348540 359185675 375471950 402287956 445663382 502859945 718371350 750943900 891326764 1005719890 1114158455 1436742700 1559821837 2011439780 2228316910 2514299725 3119643674 4456633820 5028599450 5570792275 6239287348 7799109185 10057198900 11141584550 15598218370 22283169100 31196436740 38995545925 58604734733 77991091850 117209469466 155982183700 234418938932 293023673665 410233143131 586047347330 820466286262 1172094694660 1465118368325 1640932572524 2051165715655 2930236736650 4102331431310 5860473473300 8204662862620 10255828578275 20511657156550 41023314313100