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10011431001411 = 3372343103519997
BaseRepresentation
bin1001000110101111011111…
…0010011101110101000011
31022110002020211200021212000
42101223313302131311003
52303011402314021121
633143104331035043
72052205410301110
oct221536762356503
938402224607760
1010011431001411
11320a907891624
121158347b9ba83
135780c645a198
142687ad353907
1512564876b526
hex91af7c9dd43

10011431001411 has 128 divisors (see below), whose sum is σ = 18274643312640. Its totient is φ = 5292926964864.

The previous prime is 10011431001323. The next prime is 10011431001431. The reversal of 10011431001411 is 11410013411001.

10011431001411 is a `hidden beast` number, since 10 + 0 + 1 + 143 + 100 + 1 + 411 = 666.

It is not a de Polignac number, because 10011431001411 - 213 = 10011430993219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011431001431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18992865 + ... + 19512861.

It is an arithmetic number, because the mean of its divisors is an integer number (142770650880).

Almost surely, 210011431001411 is an apocalyptic number.

10011431001411 is a deficient number, since it is larger than the sum of its proper divisors (8263212311229).

10011431001411 is a wasteful number, since it uses less digits than its factorization.

10011431001411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520182 (or 520176 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10011431001411 its reverse (11410013411001), we get a palindrome (21421444412412).

The spelling of 10011431001411 in words is "ten trillion, eleven billion, four hundred thirty-one million, one thousand, four hundred eleven".

Divisors: 1 3 7 9 21 23 27 43 63 69 103 129 161 189 207 301 309 387 483 621 721 903 927 989 1161 1449 2163 2369 2709 2781 2967 4347 4429 6489 6923 7107 8127 8901 13287 16583 19467 20769 21321 26703 31003 39861 49749 62307 63963 93009 101867 119583 149247 186921 279027 305601 447741 519997 713069 837081 916803 1559991 2139207 2750409 3639979 4679973 6417621 10919937 11959931 14039919 19252863 22359871 32759811 35879793 53559691 67079613 83719517 98279433 107639379 156519097 160679073 201238839 251158551 322918137 374917837 469557291 482037219 514277033 603716517 753475653 1124753511 1231872893 1408671873 1446111657 1542831099 2260426959 2303066713 3374260533 3599939231 3695618679 4226015619 4628493297 6909200139 8623110251 10122781599 10799817693 11086856037 13885479891 16121466991 20727600417 25869330753 32399453079 33260568111 48364400973 52970534399 62182801251 77607992259 97198359237 145093202919 158911603197 232823976777 370793740793 435279608757 476734809591 1112381222379 1430204428773 3337143667137 10011431001411