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432303300020 = 225672963108881
BaseRepresentation
bin1100100101001110100…
…10001101110110110100
31112022211221221001000002
412102213102031312310
524040324121100040
6530333012010432
743142610264164
oct6224722156664
91468757831002
10432303300020
1115737aa40869
126b949600a18
13319c5c62657
1416cd04985a4
15b3a2846a15
hex64a748ddb4

432303300020 has 48 divisors (see below), whose sum is σ = 921706164288. Its totient is φ = 170281351680.

The previous prime is 432303299963. The next prime is 432303300053. The reversal of 432303300020 is 20003303234.

It is a super-2 number, since 2×4323033000202 (a number of 24 digits) contains 22 as substring.

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 = 432303299965 and 432303300001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3915980 + ... + 4024860.

It is an arithmetic number, because the mean of its divisors is an integer number (19202211756).

Almost surely, 2432303300020 is an apocalyptic number.

It is an amenable number.

432303300020 is an abundant number, since it is smaller than the sum of its proper divisors (489402864268).

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

432303300020 is a wasteful number, since it uses less digits than its factorization.

432303300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111920 (or 111918 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 432303300020 its reverse (20003303234), we get a palindrome (452306603254).

The spelling of 432303300020 in words is "four hundred thirty-two billion, three hundred three million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 2963 5926 11852 14815 29630 59260 108881 198521 217762 397042 435524 544405 794084 992605 1088810 1985210 2177620 3970420 7295027 14590054 29180108 36475135 72950270 145900540 322614403 645228806 1290457612 1613072015 3226144030 6452288060 21615165001 43230330002 86460660004 108075825005 216151650010 432303300020