Search a number
-
+
41223120100 = 225219295991249
BaseRepresentation
bin100110011001000101…
…101110010011100100
310221101220120110211221
4212121011232103210
51133411104320400
630534310310124
72656355511421
oct463105562344
9127356513757
1041223120100
11165344162a8
127ba5658344
133b6c5b0376
141dd0bd8d48
15111408cc1a
hex99916e4e4

41223120100 has 144 divisors (see below), whose sum is σ = 97650000000. Its totient is φ = 15045488640.

The previous prime is 41223120053. The next prime is 41223120151. The reversal of 41223120100 is 102132214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33004276 + ... + 33005524.

It is an arithmetic number, because the mean of its divisors is an integer number (678125000).

Almost surely, 241223120100 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 41223120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48825000000).

41223120100 is an abundant number, since it is smaller than the sum of its proper divisors (56426879900).

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

41223120100 is a wasteful number, since it uses less digits than its factorization.

41223120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41223120100 its reverse (102132214), we get a palindrome (41325252314).

The spelling of 41223120100 in words is "forty-one billion, two hundred twenty-three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 599 725 950 1102 1198 1249 1450 1900 2204 2396 2498 2755 2900 2995 4996 5510 5990 6245 11020 11381 11980 12490 13775 14975 17371 22762 23731 24980 27550 29950 31225 34742 36221 45524 47462 55100 56905 59900 62450 69484 72442 86855 94924 113810 118655 124900 144884 173710 181105 227620 237310 284525 330049 347420 362210 434275 474620 569050 593275 660098 688199 724420 748151 868550 905525 1138100 1186550 1320196 1376398 1496302 1650245 1737100 1811050 2373100 2752796 2992604 3300490 3440995 3622100 3740755 6600980 6881990 7481510 8251225 13763980 14214869 14963020 16502450 17204975 18703775 21696379 28429738 33004900 34409950 37407550 43392758 56859476 68819900 71074345 74815100 86785516 108481895 142148690 216963790 284297380 355371725 412231201 433927580 542409475 710743450 824462402 1084818950 1421486900 1648924804 2061156005 2169637900 4122312010 8244624020 10305780025 20611560050 41223120100