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303311420104 = 237112340915233
BaseRepresentation
bin1000110100111101100…
…01001111101011001000
31001222220021221121011011
410122132301033223020
514432140210420404
6351201144213304
730625224350350
oct4323661175310
91058807847134
10303311420104
111076a7431230
124a94a46a234
13227a9babca4
1410974c51b60
157d5326a604
hex469ec4fac8

303311420104 has 128 divisors (see below), whose sum is σ = 740189767680. Its totient is φ = 112986086400.

The previous prime is 303311420101. The next prime is 303311420117. The reversal of 303311420104 is 401024113303.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (303311420101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57958672 + ... + 57963904.

It is an arithmetic number, because the mean of its divisors is an integer number (5782732560).

Almost surely, 2303311420104 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 303311420104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370094883840).

303311420104 is an abundant number, since it is smaller than the sum of its proper divisors (436878347576).

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

303311420104 is a wasteful number, since it uses less digits than its factorization.

303311420104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9367 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 303311420104 its reverse (401024113303), we get a palindrome (704335533407).

The spelling of 303311420104 in words is "three hundred three billion, three hundred eleven million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 4091 5233 7084 8182 10466 14168 16364 20932 28637 32728 36631 41864 45001 57274 57563 73262 90002 94093 114548 115126 120359 146524 180004 188186 229096 230252 240718 293048 315007 360008 376372 402941 460504 481436 630014 658651 752744 805882 842513 962872 1035023 1260028 1317302 1323949 1611764 1685026 2070046 2520056 2634604 2647898 3223528 3370052 4140092 5269208 5295796 6740104 7245161 8280184 9267643 10591592 14490322 18535286 21408203 28980644 37070572 42816406 57961288 74141144 85632812 149857421 171265624 235490233 299714842 470980466 492388669 599429684 941960932 984777338 1198859368 1648431631 1883921864 1969554676 3296863262 3446720683 3939109352 5416275359 6593726524 6893441366 10832550718 13187453048 13786882732 21665101436 27573765464 37913927513 43330202872 75827855026 151655710052 303311420104