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10320422430400 = 26527190848789
BaseRepresentation
bin1001011000101110100100…
…0111001110011011000000
31100112121210222120020101121
42112023221013032123000
52323042211120233100
633541045301442024
72113424455146235
oct226135107163300
940477728506347
1010320422430400
113319959455575
1211a8200710314
1359b29a027a74
142797226b978c
1512d6d04b251a
hex962e91ce6c0

10320422430400 has 84 divisors (see below), whose sum is σ = 25752361408560. Its totient is φ = 4070025702400.

The previous prime is 10320422430391. The next prime is 10320422430433. The reversal of 10320422430400 is 403422402301.

It is a happy number.

It is a super-2 number, since 2×103204224304002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45310795 + ... + 45537994.

Almost surely, 210320422430400 is an apocalyptic number.

10320422430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320422430400 is an abundant number, since it is smaller than the sum of its proper divisors (15431938978160).

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

10320422430400 is an equidigital number, since it uses as much as digits as its factorization.

10320422430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90848882 (or 90848867 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10320422430400 its reverse (403422402301), we get a palindrome (10723844832701).

The spelling of 10320422430400 in words is "ten trillion, three hundred twenty billion, four hundred twenty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 142 160 200 284 320 355 400 568 710 800 1136 1420 1600 1775 2272 2840 3550 4544 5680 7100 11360 14200 22720 28400 56800 113600 90848789 181697578 363395156 454243945 726790312 908487890 1453580624 1816975780 2271219725 2907161248 3633951560 4542439450 5814322496 6450264019 7267903120 9084878900 12900528038 14535806240 18169757800 25801056076 29071612480 32251320095 36339515600 51602112152 64502640190 72679031200 103204224304 129005280380 145358062400 161256600475 206408448608 258010560760 322513200950 412816897216 516021121520 645026401900 1032042243040 1290052803800 2064084486080 2580105607600 5160211215200 10320422430400