Search a number
-
+
100142234234210 = 257193373122316249
BaseRepresentation
bin10110110001010000101110…
…010011000110110101100010
3111010120111121111010021012002
4112301100232103012311202
5101111212243430443320
6552552412440004002
730044015630163020
oct2661205623066542
9433514544107162
10100142234234210
11299aa0a0582573
12b29429b760602
1343b54ab8648cc
141aa2ca506d710
15b89de1721675
hex5b142e4c6d62

100142234234210 has 128 divisors (see below), whose sum is σ = 207811992960000. Its totient is φ = 34035060473856.

The previous prime is 100142234234167. The next prime is 100142234234267. The reversal of 100142234234210 is 12432432241001.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6162970166 + ... + 6162986414.

It is an arithmetic number, because the mean of its divisors is an integer number (1623531195000).

Almost surely, 2100142234234210 is an apocalyptic number.

100142234234210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100142234234210 is an abundant number, since it is smaller than the sum of its proper divisors (107669758725790).

100142234234210 is a wasteful number, since it uses less digits than its factorization.

100142234234210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18052.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 100142234234210 its reverse (12432432241001), we get a palindrome (112574666475211).

The spelling of 100142234234210 in words is "one hundred trillion, one hundred forty-two billion, two hundred thirty-four million, two hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 70 193 373 386 746 965 1223 1351 1865 1930 2446 2611 2702 3730 5222 6115 6755 8561 12230 13055 13510 16249 17122 26110 32498 42805 71989 81245 85610 113743 143978 162490 227486 236039 359945 456179 472078 503923 568715 719890 912358 1007846 1137430 1180195 1652273 2280895 2360390 2519615 3136057 3193253 3304546 4561790 5039230 6060877 6272114 6386506 8261365 12121754 15680285 15966265 16522730 19872527 21952399 30304385 31360570 31932530 39745054 42426139 43904798 60608770 84852278 88042547 99362635 109761995 139107689 176085094 198725270 212130695 219523990 278215378 424261390 440212735 616297829 695538445 880425470 1169749261 1232595658 1391076890 2339498522 3081489145 3835397711 5848746305 6162978290 7412452571 7670795422 8188244827 11697492610 14824905142 16376489654 19176988555 26847783977 37062262855 38353977110 40941224135 51887167997 53695567954 74124525710 81882448270 103774335994 134238919885 259435839985 268477839770 518871679970 1430603346203 2861206692406 7153016731015 10014223423421 14306033462030 20028446846842 50071117117105 100142234234210