Search a number
-
+
20120002100 = 225211236113037
BaseRepresentation
bin10010101111001111…
…101101111000110100
31220221012100000011222
4102233033231320310
5312201210031400
613124253245512
71311410124152
oct225717557064
956835300158
1020120002100
118595242410
123a96193898
131b885027b3
14d8c2023d2
157cb572185
hex4af3ede34

20120002100 has 144 divisors (see below), whose sum is σ = 50519016576. Its totient is φ = 6883008000.

The previous prime is 20120002099. The next prime is 20120002157. The reversal of 20120002100 is 120002102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536782 + ... + 1549818.

It is an arithmetic number, because the mean of its divisors is an integer number (350826504).

Almost surely, 220120002100 is an apocalyptic number.

20120002100 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 20120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25259508288).

20120002100 is an abundant number, since it is smaller than the sum of its proper divisors (30399014476).

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

20120002100 is a wasteful number, since it uses less digits than its factorization.

20120002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20120002100 its reverse (120002102), we get a palindrome (20240004202).

The spelling of 20120002100 in words is "twenty billion, one hundred twenty million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 61 92 100 110 115 122 220 230 244 253 275 305 460 506 550 575 610 671 1012 1100 1150 1220 1265 1342 1403 1525 2300 2530 2684 2806 3050 3355 5060 5612 6100 6325 6710 7015 12650 13037 13420 14030 15433 16775 25300 26074 28060 30866 33550 35075 52148 61732 65185 67100 70150 77165 130370 140300 143407 154330 260740 286814 299851 308660 325925 385825 573628 599702 651850 717035 771650 795257 1199404 1303700 1434070 1499255 1543300 1590514 2868140 2998510 3181028 3298361 3585175 3976285 5997020 6596722 7170350 7496275 7952570 8747827 13193444 14340700 14992550 15905140 16491805 17495654 18290911 19881425 29985100 32983610 34991308 36581822 39762850 43739135 65967220 73163644 79525700 82459025 87478270 91454555 164918050 174956540 182909110 201200021 218695675 329836100 365818220 402400042 437391350 457272775 804800084 874782700 914545550 1006000105 1829091100 2012000210 4024000420 5030000525 10060001050 20120002100