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1001020020110 = 2511238312173917
BaseRepresentation
bin11101001000100010111…
…00010101010110001110
310112200210210202211000122
432210101130111112032
5112400042111120420
62043510125024542
7132215131531415
oct16442134252616
93480723684018
101001020020110
11356591783120
121420076b5152
137351b6c5336
1436641ac647c
151b08b09e725
hexe91171558e

1001020020110 has 128 divisors (see below), whose sum is σ = 2078050028544. Its totient is φ = 343615528960.

The previous prime is 1001020020089. The next prime is 1001020020167. The reversal of 1001020020110 is 110200201001.

It is a super-2 number, since 2×10010200201102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255555872 + ... + 255559788.

It is an arithmetic number, because the mean of its divisors is an integer number (16234765848).

Almost surely, 21001020020110 is an apocalyptic number.

1001020020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001020020110 is an abundant number, since it is smaller than the sum of its proper divisors (1077030008434).

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

1001020020110 is a wasteful number, since it uses less digits than its factorization.

1001020020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001020020110 its reverse (110200201001), we get a palindrome (1111220221111).

The spelling of 1001020020110 in words is "one trillion, one billion, twenty million, twenty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 23 46 55 83 110 115 166 230 253 415 506 830 913 1217 1265 1826 1909 2434 2530 3818 3917 4565 6085 7834 9130 9545 12170 13387 19090 19585 20999 26774 27991 39170 41998 43087 55982 66935 86174 90091 101011 104995 133870 139955 180182 202022 209990 215435 279910 307901 325111 430870 450455 505055 615802 650222 900910 991001 1010110 1111121 1539505 1625555 1982002 2222242 2323253 3079010 3251110 3576221 4646506 4766989 4955005 5555605 7152442 7477553 9533978 9910010 11111210 11616265 14955106 17881105 23232530 23834945 25555783 35762210 37387765 47669890 51111566 52436879 74775530 82253083 104873758 109640747 127778915 164506166 219281494 255557830 262184395 395660087 411265415 524368790 548203735 791320174 822530830 1096407470 1206048217 1978300435 2412096434 3956600870 4352260957 6030241085 8704521914 9100182001 12060482170 18200364002 21761304785 43522609570 45500910005 91001820010 100102002011 200204004022 500510010055 1001020020110