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10122311001 = 31137791011039
BaseRepresentation
bin10010110110101011…
…00011010101011001
3222010102220200021110
421123111203111121
5131212302423001
64352232130533
7505561136535
oct113325432531
928112820243
1010122311001
114324865090
121b65b36a49
13c5414324a
146c04c0bc5
153e39bd3d6
hex25b563559

10122311001 has 64 divisors (see below), whose sum is σ = 15479193600. Its totient is φ = 5829408000.

The previous prime is 10122310981. The next prime is 10122311011. The reversal of 10122311001 is 10011322101.

It is not a de Polignac number, because 10122311001 - 27 = 10122310873 is a prime.

It is a super-2 number, since 2×101223110012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122311011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9741840 + ... + 9742878.

It is an arithmetic number, because the mean of its divisors is an integer number (241862400).

Almost surely, 210122311001 is an apocalyptic number.

10122311001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122311001 is a deficient number, since it is larger than the sum of its proper divisors (5356882599).

10122311001 is a wasteful number, since it uses less digits than its factorization.

10122311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10122311001 its reverse (10011322101), we get a palindrome (20133633102).

It can be divided in two parts, 10122 and 311001, that added together give a palindrome (321123).

The spelling of 10122311001 in words is "ten billion, one hundred twenty-two million, three hundred eleven thousand, one".

Divisors: 1 3 11 33 37 79 101 111 237 303 407 869 1039 1111 1221 2607 2923 3117 3333 3737 7979 8769 11211 11429 23937 32153 34287 38443 41107 82081 87769 96459 104939 115329 123321 246243 263307 295223 314817 422873 885669 902891 1154329 1268619 2708673 3036997 3247453 3462987 3882743 8290181 9110991 9742359 11648229 24870543 33406967 42710173 91191991 100220901 128130519 273575973 306736697 920210091 3374103667 10122311001