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41330432100 = 223521926572729
BaseRepresentation
bin100110011111011111…
…000101100001100100
310221200101111111020110
4212133133011201210
51134121042311400
630553102333020
72662130606406
oct463737054144
9127611444213
1041330432100
1116589a51401
12801558a170
133b888b40a9
142001170b76
15111d6d8e50
hex99f7c5864

41330432100 has 144 divisors (see below), whose sum is σ = 125970062400. Its totient is φ = 10433617920.

The previous prime is 41330432089. The next prime is 41330432111. The reversal of 41330432100 is 123403314.

It is an interprime number because it is at equal distance from previous prime (41330432089) and next prime (41330432111).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15143536 + ... + 15146264.

It is an arithmetic number, because the mean of its divisors is an integer number (874792100).

Almost surely, 241330432100 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 41330432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62985031200).

41330432100 is an abundant number, since it is smaller than the sum of its proper divisors (84639630300).

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

41330432100 is a wasteful number, since it uses less digits than its factorization.

41330432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 41330432100 its reverse (123403314), we get a palindrome (41453835414).

The spelling of 41330432100 in words is "forty-one billion, three hundred thirty million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2657 2729 2850 5314 5458 5700 7971 8187 10628 10916 13285 13645 15942 16374 26570 27290 31884 32748 39855 40935 50483 51851 53140 54580 66425 68225 79710 81870 100966 103702 132850 136450 151449 155553 159420 163740 199275 201932 204675 207404 252415 259255 265700 272900 302898 311106 398550 409350 504830 518510 605796 622212 757245 777765 797100 818700 1009660 1037020 1262075 1296275 1514490 1555530 2524150 2592550 3028980 3111060 3786225 3888825 5048300 5185100 7250953 7572450 7777650 14501906 15144900 15555300 21752859 29003812 36254765 43505718 72509530 87011436 108764295 137768107 145019060 181273825 217528590 275536214 362547650 413304321 435057180 543821475 551072428 688840535 725095300 826608642 1087642950 1377681070 1653217284 2066521605 2175285900 2755362140 3444202675 4133043210 6888405350 8266086420 10332608025 13776810700 20665216050 41330432100