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41125812100 = 22523179307547
BaseRepresentation
bin100110010011010010…
…100001011110000100
310221011010110201100221
4212103102201132010
51133211201441400
630520512514124
72654064430552
oct462322413604
9127133421327
1041125812100
11164944a336a
127b78b4b944
133b5539cc79
141dc1d08bd2
15110a76ac1a
hex9934a1784

41125812100 has 144 divisors (see below), whose sum is σ = 93762887680. Its totient is φ = 15638313600.

The previous prime is 41125812073. The next prime is 41125812163. The reversal of 41125812100 is 121852114.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 75184027 + ... + 75184573.

Almost surely, 241125812100 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 41125812100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46881443840).

41125812100 is an abundant number, since it is smaller than the sum of its proper divisors (52637075580).

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

41125812100 is a wasteful number, since it uses less digits than its factorization.

41125812100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The spelling of 41125812100 in words is "forty-one billion, one hundred twenty-five million, eight hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 79 100 124 155 158 307 310 316 395 547 614 620 775 790 1094 1228 1535 1550 1580 1975 2188 2449 2735 3070 3100 3950 4898 5470 6140 7675 7900 9517 9796 10940 12245 13675 15350 16957 19034 24253 24490 27350 30700 33914 38068 43213 47585 48506 48980 54700 61225 67828 84785 86426 95170 97012 121265 122450 167929 169570 172852 190340 216065 237925 242530 244900 335858 339140 423925 432130 475850 485060 606325 671716 751843 839645 847850 864260 951700 1080325 1212650 1339603 1503686 1679290 1695700 2160650 2425300 2679206 3007372 3358580 3759215 4198225 4321300 5205799 5358412 6698015 7518430 8396450 10411598 13266391 13396030 15036860 16792900 18796075 20823196 26028995 26532782 26792060 33490075 37592150 52057990 53065564 66331955 66980150 75184300 104115980 130144975 132663910 133960300 260289950 265327820 331659775 411258121 520579900 663319550 822516242 1326639100 1645032484 2056290605 4112581210 8225162420 10281453025 20562906050 41125812100