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2311000444431 = 3371631931971973
BaseRepresentation
bin100001101000010010010…
…111000100111000001111
322011221002121001100121000
4201220102113010320033
5300330412103210211
64525354155511343
7325651513444110
oct41502227047017
98157077040530
102311000444431
118110a9559878
12313a79458553
13139c074149a3
147dbd297a207
15401ab2b7656
hex21a125c4e0f

2311000444431 has 128 divisors (see below), whose sum is σ = 3979311114240. Its totient is φ = 1298383478784.

The previous prime is 2311000444391. The next prime is 2311000444433. The reversal of 2311000444431 is 1344440001132.

It is not a de Polignac number, because 2311000444431 - 214 = 2311000428047 is a prime.

It is a super-2 number, since 2×23110004444312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2311000444395 and 2311000444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311000444433) 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, 1171311961 + ... + 1171313933.

It is an arithmetic number, because the mean of its divisors is an integer number (31088368080).

Almost surely, 22311000444431 is an apocalyptic number.

2311000444431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2311000444431 is a deficient number, since it is larger than the sum of its proper divisors (1668310669809).

2311000444431 is a wasteful number, since it uses less digits than its factorization.

2311000444431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2311000444431 its reverse (1344440001132), we get a palindrome (3655440445563).

The spelling of 2311000444431 in words is "two trillion, three hundred eleven billion, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 163 189 193 197 489 579 591 1141 1351 1379 1467 1737 1773 1973 3423 4053 4137 4401 5211 5319 5919 10269 12159 12411 13811 17757 30807 31459 32111 36477 37233 38021 41433 53271 94377 96333 114063 124299 220213 224777 266147 283131 288999 321599 342189 372897 380789 388681 660639 674331 798441 849393 866997 964797 1026567 1142367 1166043 1981917 2022993 2251193 2395323 2665523 2720767 2894391 3427101 3498129 5945751 6068979 6197423 6753579 7185969 7996569 8162301 8683173 10281303 10494387 18592269 20260737 23989707 24486903 43381961 55776807 60782211 62068607 63355003 71969121 73460709 75015433 130145883 167330421 186205821 190065009 225046299 390437649 434480249 443485021 525108031 558617463 570195027 675138897 1171312947 1303440747 1330455063 1575324093 1675852389 1710585081 2025416691 3910322241 3991365189 4725972279 11730966723 11974095567 12227515579 14177916837 36682546737 85592609053 110047640211 256777827159 330142920633 770333481477 2311000444431