Search a number
-
+
1000112000010 = 2352941101277603
BaseRepresentation
bin11101000110110110101…
…00100000110000001010
310112121110112011121121120
432203123110200300022
5112341212133000020
62043240051020110
7132153464510454
oct16433324406012
93477415147546
101000112000010
11356166173192
121419b359a636
1373405551336
143659727d2d4
151b0364db740
hexe8db520c0a

1000112000010 has 128 divisors (see below), whose sum is σ = 2568791957760. Its totient is φ = 248731392000.

The previous prime is 1000111999993. The next prime is 1000112000011. The reversal of 1000112000010 is 100002110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1000112000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3463869 + ... + 3741471.

It is an arithmetic number, because the mean of its divisors is an integer number (20068687170).

Almost surely, 21000112000010 is an apocalyptic number.

1000112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000112000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284395978880).

1000112000010 is an abundant number, since it is smaller than the sum of its proper divisors (1568679957750).

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

1000112000010 is a wasteful number, since it uses less digits than its factorization.

1000112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277784.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1000112000010 its reverse (100002110001), we get a palindrome (1100114110011).

The spelling of 1000112000010 in words is "one trillion, one hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 29 30 41 58 82 87 101 123 145 174 202 205 246 290 303 410 435 505 606 615 870 1010 1189 1230 1515 2378 2929 3030 3567 4141 5858 5945 7134 8282 8787 11890 12423 14645 17574 17835 20705 24846 29290 35670 41410 43935 62115 87870 120089 124230 240178 277603 360267 555206 600445 720534 832809 1200890 1388015 1665618 1801335 2776030 3602670 4164045 8050487 8328090 11381723 16100974 22763446 24151461 28037903 34145169 40252435 48302922 56075806 56908615 68290338 80504870 84113709 113817230 120757305 140189515 168227418 170725845 241514610 280379030 330069967 341451690 420568545 660139934 813099187 841137090 990209901 1149554023 1626198374 1650349835 1980419802 2299108046 2439297561 3300699670 3448662069 4065495935 4878595122 4951049505 5747770115 6897324138 8130991870 9902099010 11495540230 12196487805 17243310345 24392975610 33337066667 34486620690 66674133334 100011200001 166685333335 200022400002 333370666670 500056000005 1000112000010