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422310001300 = 2252112103338851
BaseRepresentation
bin1100010010100111010…
…00110011101010010100
31111101001111202212022021
412021103220303222110
523404342330020200
6522001224542524
742340143532405
oct6112350635224
91441044685267
10422310001300
11153111a93600
1269a1a921a44
1330a92780445
141662319b9ac
15aeba35e41a
hex6253a33a94

422310001300 has 108 divisors (see below), whose sum is σ = 1017079187488. Its totient is φ = 152075880000.

The previous prime is 422310001297. The next prime is 422310001367. The reversal of 422310001300 is 3100013224.

It is a happy number.

It is a super-3 number, since 3×4223100013003 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1076875 + ... + 1415725.

Almost surely, 2422310001300 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 422310001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508539593744).

422310001300 is an abundant number, since it is smaller than the sum of its proper divisors (594769186188).

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

422310001300 is a wasteful number, since it uses less digits than its factorization.

422310001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338990 (or 338972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 422310001300 its reverse (3100013224), we get a palindrome (425410014524).

The spelling of 422310001300 in words is "four hundred twenty-two billion, three hundred ten million, one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 121 206 220 242 275 412 484 515 550 605 1030 1100 1133 1210 2060 2266 2420 2575 3025 4532 5150 5665 6050 10300 11330 12100 12463 22660 24926 28325 49852 56650 62315 113300 124630 249260 311575 338851 623150 677702 1246300 1355404 1694255 3388510 3727361 6777020 7454722 8471275 14909444 16942550 18636805 33885100 34901653 37273610 41000971 69803306 74547220 82001942 93184025 139606612 164003884 174508265 186368050 205004855 349016530 372736100 383918183 410009710 698033060 767836366 820019420 872541325 1025024275 1535672732 1745082650 1919590915 2050048550 3490165300 3839181830 4100097100 4223100013 7678363660 8446200026 9597954575 16892400052 19195909150 21115500065 38391818300 42231000130 84462000260 105577500325 211155000650 422310001300