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323013420020 = 225232108728087
BaseRepresentation
bin1001011001101010001…
…10011010001111110100
31010212202100201220010202
410230311012122033310
520243012413420040
6404220150340032
732223400524344
oct4546506321764
91125670656122
10323013420020
11114a97722395
125272865a618
13245c99091c5
14118c3724d24
158607c70015
hex4b3519a3f4

323013420020 has 72 divisors (see below), whose sum is σ = 709780614144. Its totient is φ = 123469651008.

The previous prime is 323013420013. The next prime is 323013420029. The reversal of 323013420020 is 20024310323.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323013419974 and 323013420001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323013420029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11486417 + ... + 11514503.

Almost surely, 2323013420020 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 323013420020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354890307072).

323013420020 is an abundant number, since it is smaller than the sum of its proper divisors (386767194124).

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

323013420020 is a wasteful number, since it uses less digits than its factorization.

323013420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29229 (or 29204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 323013420020 its reverse (20024310323), we get a palindrome (343037730343).

The spelling of 323013420020 in words is "three hundred twenty-three billion, thirteen million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 1087 2116 2174 2645 4348 5290 5435 10580 10870 21740 25001 28087 50002 56174 100004 112348 125005 140435 250010 280870 500020 561740 575023 646001 1150046 1292002 2300092 2584004 2875115 3230005 5750230 6460010 11500460 12920020 14858023 29716046 30530569 59432092 61061138 74290115 122122276 148580230 152652845 297160460 305305690 610611380 702203087 1404406174 2808812348 3511015435 7022030870 14044061740 16150671001 32301342002 64602684004 80753355005 161506710010 323013420020