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10031302320 = 24351319169219
BaseRepresentation
bin10010101011110100…
…11000011010110000
3221220002122221211120
421111322120122300
5131021003133240
64335221342240
7503404443234
oct112572303260
927802587746
1010031302320
1142884549a6
121b3b567980
13c3b32a160
146b23905c4
153da9e2ad0
hex255e986b0

10031302320 has 160 divisors (see below), whose sum is σ = 35251910400. Its totient is φ = 2339269632.

The previous prime is 10031302313. The next prime is 10031302321. The reversal of 10031302320 is 2320313001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10031302320.

It is not an unprimeable number, because it can be changed into a prime (10031302321) 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, 25330 + ... + 143889.

It is an arithmetic number, because the mean of its divisors is an integer number (220324440).

Almost surely, 210031302320 is an apocalyptic number.

10031302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625955200).

10031302320 is an abundant number, since it is smaller than the sum of its proper divisors (25220608080).

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

10031302320 is a wasteful number, since it uses less digits than its factorization.

10031302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169267 (or 169261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10031302320 its reverse (2320313001), we get a palindrome (12351615321).

The spelling of 10031302320 in words is "ten billion, thirty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 169219 338438 507657 676876 846095 1015314 1353752 1692190 2030628 2199847 2538285 2707504 3215161 3384380 4061256 4399694 5076570 6430322 6599541 6768760 8122512 8799388 9645483 10153140 10999235 12860644 13199082 13537520 16075805 17598776 19290966 20306280 21998470 25721288 26398164 32151610 32997705 35197552 38581932 40612560 41797093 43996940 48227415 51442576 52796328 64303220 65995410 77163864 83594186 87993880 96454830 105592656 125391279 128606440 131990820 154327728 167188372 175987760 192909660 208985465 250782558 257212880 263981640 334376744 385819320 417970930 501565116 527963280 626956395 668753488 771638640 835941860 1003130232 1253912790 1671883720 2006260464 2507825580 3343767440 5015651160 10031302320