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20110001320 = 235312598867
BaseRepresentation
bin10010101110101001…
…100100010010101000
31220220111111220200201
4102232221210102220
5312141130020240
613123255041544
71311226122313
oct225651442250
956814456621
1020110001320
11858a631702
123a929702b4
131b86410786
14d8ab5b97a
157ca748d9a
hex4aea644a8

20110001320 has 96 divisors (see below), whose sum is σ = 47551989600. Its totient is φ = 7651712640.

The previous prime is 20110001273. The next prime is 20110001377. The reversal of 20110001320 is 2310001102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20110001297 and 20110001306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2263527 + ... + 2272393.

It is an arithmetic number, because the mean of its divisors is an integer number (495333225).

Almost surely, 220110001320 is an apocalyptic number.

20110001320 is a gapful number since it is divisible by the number (20) 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 20110001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775994800).

20110001320 is an abundant number, since it is smaller than the sum of its proper divisors (27441988280).

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

20110001320 is a wasteful number, since it uses less digits than its factorization.

20110001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20110001320 its reverse (2310001102), we get a palindrome (22420002422).

The spelling of 20110001320 in words is "twenty billion, one hundred ten million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 961 1180 1240 1829 1922 2360 3658 3844 4805 7316 7688 8867 9145 9610 14632 17734 18290 19220 35468 36580 38440 44335 56699 70936 73160 88670 113398 177340 226796 274877 283495 354680 453592 523153 549754 566990 1046306 1099508 1133980 1374385 2092612 2199016 2267960 2615765 2748770 4185224 5231530 5497540 8521187 10463060 10995080 16217743 17042374 20926120 32435486 34084748 42605935 64870972 68169496 81088715 85211870 129741944 162177430 170423740 324354860 340847480 502750033 648709720 1005500066 2011000132 2513750165 4022000264 5027500330 10055000660 20110001320