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10203010320 = 2435283150221
BaseRepresentation
bin10011000000010010…
…11001010100010000
3222100001202121221010
421200021121110100
5131343432312240
64404233530520
7510561104526
oct114011312420
928301677833
1010203010320
114366373738
121b88b73a40
13c67a89a19
146cb0ca316
153eab0e280
hex260259510

10203010320 has 80 divisors (see below), whose sum is σ = 31741307712. Its totient is φ = 2711170560.

The previous prime is 10203010297. The next prime is 10203010331. The reversal of 10203010320 is 2301030201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10203010296 and 10203010305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 143030.

Almost surely, 210203010320 is an apocalyptic number.

10203010320 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 10203010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15870653856).

10203010320 is an abundant number, since it is smaller than the sum of its proper divisors (21538297392).

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

10203010320 is a wasteful number, since it uses less digits than its factorization.

10203010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150520 (or 150514 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10203010320 its reverse (2301030201), we get a palindrome (12504040521).

The spelling of 10203010320 in words is "ten billion, two hundred three million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 283 566 849 1132 1415 1698 2264 2830 3396 4245 4528 5660 6792 8490 11320 13584 16980 22640 33960 67920 150221 300442 450663 600884 751105 901326 1201768 1502210 1802652 2253315 2403536 3004420 3605304 4506630 6008840 7210608 9013260 12017680 18026520 36053040 42512543 85025086 127537629 170050172 212562715 255075258 340100344 425125430 510150516 637688145 680200688 850250860 1020301032 1275376290 1700501720 2040602064 2550752580 3401003440 5101505160 10203010320