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300122004012 = 223192139523953
BaseRepresentation
bin1000101111000001010…
…10100101101000101100
31001200200000111110210020
410113200222211220230
514404122213112022
6345512452042140
730453205641225
oct4274052455054
91050600443706
10300122004012
11106310057766
124a1ba303350
13223bc1a7a2c
141075142024c
157c1825d35c
hex45e0aa5a2c

300122004012 has 144 divisors (see below), whose sum is σ = 746604673920. Its totient is φ = 93815076096.

The previous prime is 300122003983. The next prime is 300122004037. The reversal of 300122004012 is 210400221003.

It is a super-2 number, since 2×3001220040122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300122003982 and 300122004000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314922928 + ... + 314923880.

It is an arithmetic number, because the mean of its divisors is an integer number (5184754680).

Almost surely, 2300122004012 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 300122004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373302336960).

300122004012 is an abundant number, since it is smaller than the sum of its proper divisors (446482669908).

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

300122004012 is a wasteful number, since it uses less digits than its factorization.

300122004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 300122004012 its reverse (210400221003), we get a palindrome (510522225015).

The spelling of 300122004012 in words is "three hundred billion, one hundred twenty-two million, four thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 361 417 523 556 722 834 953 1046 1083 1444 1569 1668 1906 2092 2166 2641 2859 3138 3812 4332 5282 5718 6276 7923 9937 10564 11436 15846 18107 19874 29811 31692 36214 39748 50179 54321 59622 72428 72697 100358 108642 119244 132467 145394 150537 188803 200716 217284 218091 264934 290788 301074 344033 377606 397401 436182 498419 529868 566409 602148 688066 755212 794802 872364 996838 1032099 1132818 1376132 1381243 1495257 1589604 1993676 2064198 2265636 2516873 2762486 2990514 4128396 4143729 5033746 5524972 5981028 7550619 8287458 9469961 10067492 15101238 16574916 18939922 26243617 28409883 30202476 37879844 47820587 52487234 56819766 69280241 78730851 95641174 104974468 113639532 138560482 143461761 157461702 179929259 191282348 207840723 277120964 286923522 314923404 359858518 415681446 539787777 573847044 719717036 831362892 1079575554 1316324579 2159151108 2632649158 3948973737 5265298316 7897947474 15795894948 25010167001 50020334002 75030501003 100040668004 150061002006 300122004012