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10041213022100 = 225213192914018167
BaseRepresentation
bin1001001000011110011011…
…1011110110111110010100
31022112221010101210200211022
42102013212323312332110
52304003401013201400
633204511455100312
72054311422300551
oct222074673667624
938487111720738
1010041213022100
1132214aaa82567
121162079b11698
1357ab61611530
14269dd6859a28
151262dd188b85
hex921e6ef6f94

10041213022100 has 144 divisors (see below), whose sum is σ = 25552316630400. Its totient is φ = 3391274718720.

The previous prime is 10041213022091. The next prime is 10041213022109. The reversal of 10041213022100 is 122031214001.

It is an interprime number because it is at equal distance from previous prime (10041213022091) and next prime (10041213022109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041213022109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292784 + ... + 7725383.

Almost surely, 210041213022100 is an apocalyptic number.

10041213022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041213022100 is an abundant number, since it is smaller than the sum of its proper divisors (15511103608300).

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

10041213022100 is a wasteful number, since it uses less digits than its factorization.

10041213022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018242 (or 14018235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10041213022100 its reverse (122031214001), we get a palindrome (10163244236101).

The spelling of 10041213022100 in words is "ten trillion, forty-one billion, two hundred thirteen million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 29 38 50 52 58 65 76 95 100 116 130 145 190 247 260 290 325 377 380 475 494 551 580 650 725 754 950 988 1102 1235 1300 1450 1508 1885 1900 2204 2470 2755 2900 3770 4940 5510 6175 7163 7540 9425 11020 12350 13775 14326 18850 24700 27550 28652 35815 37700 55100 71630 143260 179075 358150 716300 14018167 28036334 56072668 70090835 140181670 182236171 266345173 280363340 350454175 364472342 406526843 532690346 700908350 728944684 813053686 911180855 1065380692 1331725865 1401816700 1626107372 1822361710 2032634215 2663451730 3462487249 3644723420 4065268430 4555904275 5284848959 5326903460 6658629325 6924974498 7724010017 8130536860 9111808550 10163171075 10569697918 13317258650 13849948996 15448020034 17312436245 18223617100 20326342150 21139395836 26424244795 26634517300 30896040068 34624872490 38620050085 40652684300 52848489590 69249744980 77240100170 86562181225 100412130221 105696979180 132121223975 154480200340 173124362450 193100250425 200824260442 264242447950 346248724900 386200500850 401648520884 502060651105 528484895900 772401001700 1004121302210 2008242604420 2510303255525 5020606511050 10041213022100