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112002111210 = 235114177310709
BaseRepresentation
bin110100001001111011…
…0001001011011101010
3101201002121201202122010
41220103312021123222
53313340020024320
6123241505540350
711043342144243
oct1502366113352
9351077652563
10112002111210
11435552a9980
12198593446b6
13a73c2331b2
1455c706bcca
152da7c75ae0
hex1a13d896ea

112002111210 has 128 divisors (see below), whose sum is σ = 300810827520. Its totient is φ = 26453043200.

The previous prime is 112002111209. The next prime is 112002111233. The reversal of 112002111210 is 12111200211.

112002111210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 10453336 + ... + 10464044.

It is an arithmetic number, because the mean of its divisors is an integer number (2350084590).

Almost surely, 2112002111210 is an apocalyptic number.

112002111210 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 112002111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405413760).

112002111210 is an abundant number, since it is smaller than the sum of its proper divisors (188808716310).

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

112002111210 is a wasteful number, since it uses less digits than its factorization.

112002111210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112002111210 its reverse (12111200211), we get a palindrome (124113311421).

The spelling of 112002111210 in words is "one hundred twelve billion, two million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 773 902 1230 1353 1546 2255 2319 2706 3865 4510 4638 6765 7730 8503 10709 11595 13530 17006 21418 23190 25509 31693 32127 42515 51018 53545 63386 64254 85030 95079 107090 117799 127545 158465 160635 190158 235598 255090 316930 321270 348623 353397 439069 475395 588995 697246 706794 878138 950790 1045869 1177990 1317207 1743115 1766985 2091738 2195345 2634414 3486230 3533970 4390690 4829759 5229345 6586035 8278057 9659518 10458690 13172070 14489277 16556114 24148795 24834171 28978554 41390285 48297590 49668342 72446385 82780570 91058627 124170855 144892770 182117254 248341710 273175881 339400337 455293135 546351762 678800674 910586270 1018201011 1365879405 1697001685 2036402022 2731758810 3394003370 3733403707 5091005055 7466807414 10182010110 11200211121 18667018535 22400422242 37334037070 56001055605 112002111210