Search a number
-
+
2002111001220 = 22351121713139709
BaseRepresentation
bin11101001000100111000…
…111010111001010000100
321002101210120001211020110
4131020213013113022010
5230300310404014340
64131431311033020
7264435114501411
oct35104707271204
97071716054213
102002111001220
117020aa5132a0
12284032b0b770
13116a4ba04715
146cc8cda1108
153712d4b9680
hex1d2271d7284

2002111001220 has 96 divisors (see below), whose sum is σ = 6115864487040. Its totient is φ = 485334415360.

The previous prime is 2002111001197. The next prime is 2002111001243. The reversal of 2002111001220 is 221001112002.

It is an interprime number because it is at equal distance from previous prime (2002111001197) and next prime (2002111001243).

It is a super-2 number, since 2×20021110012202 (a number of 25 digits) contains 22 as substring.

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 = 2002111001196 and 2002111001205.

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 31 ways as a sum of consecutive naturals, for example, 14260726 + ... + 14400434.

It is an arithmetic number, because the mean of its divisors is an integer number (63706921740).

Almost surely, 22002111001220 is an apocalyptic number.

2002111001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002111001220 is an abundant number, since it is smaller than the sum of its proper divisors (4113753485820).

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

2002111001220 is a wasteful number, since it uses less digits than its factorization.

2002111001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161445 (or 161443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002111001220 its reverse (221001112002), we get a palindrome (2223112113222).

The spelling of 2002111001220 in words is "two trillion, two billion, one hundred eleven million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 21713 43426 65139 86852 108565 130278 139709 217130 238843 260556 279418 325695 419127 434260 477686 558836 651390 698545 716529 838254 955372 1194215 1302780 1397090 1433058 1536799 1676508 2095635 2388430 2794180 2866116 3073598 3582645 4191270 4610397 4776860 6147196 7165290 7683995 8382540 9220794 14330580 15367990 18441588 23051985 30735980 46103970 92207940 3033501517 6067003034 9100504551 12134006068 15167507585 18201009102 30335015170 33368516687 36402018204 45502522755 60670030340 66737033374 91005045510 100105550061 133474066748 166842583435 182010091020 200211100122 333685166870 400422200244 500527750305 667370333740 1001055500610 2002111001220