Search a number
-
+
100002112120120 = 23573124147804899
BaseRepresentation
bin10110101111001110001110…
…010111101010010100111000
3111010002002221010122100101211
4112233032032113222110320
5101101413311200320440
6552404200332452504
730030625363645660
oct2657161627522470
9433062833570354
10100002112120120
11299557262732a1
12b2710b501a134
1343a520a8b8672
141a9a1b15351a0
15b8643ee2ceea
hex5af38e5ea538

100002112120120 has 128 divisors (see below), whose sum is σ = 266544824832000. Its totient is φ = 33042745497600.

The previous prime is 100002112119989. The next prime is 100002112120139. The reversal of 100002112120120 is 21021211200001.

It is a self number, because there is not a number n which added to its sum of digits gives 100002112120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21810570 + ... + 25994329.

It is an arithmetic number, because the mean of its divisors is an integer number (2082381444000).

Almost surely, 2100002112120120 is an apocalyptic number.

100002112120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002112120120 is an abundant number, since it is smaller than the sum of its proper divisors (166542712711880).

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

100002112120120 is a wasteful number, since it uses less digits than its factorization.

100002112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47805189 (or 47805185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100002112120120 its reverse (21021211200001), we get a palindrome (121023323320121).

The spelling of 100002112120120 in words is "one hundred trillion, two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 241 248 280 310 434 482 620 868 964 1085 1205 1240 1687 1736 1928 2170 2410 3374 4340 4820 6748 7471 8435 8680 9640 13496 14942 16870 29884 33740 37355 52297 59768 67480 74710 104594 149420 209188 261485 298840 418376 522970 1045940 2091880 47804899 95609798 191219596 239024495 334634293 382439192 478048990 669268586 956097980 1338537172 1481951869 1673171465 1912195960 2677074344 2963903738 3346342930 5927807476 6692685860 7409759345 10373663083 11520980659 11855614952 13385371720 14819518690 20747326166 23041961318 29639037380 41494652332 46083922636 51868315415 57604903295 59278074760 80646864613 82989304664 92167845272 103736630830 115209806590 161293729226 207473261660 230419613180 322587458452 357150400429 403234323065 414946523320 460839226360 645174916904 714300800858 806468646130 1428601601716 1612937292260 1785752002145 2500052803003 2857203203432 3225874584520 3571504004290 5000105606006 7143008008580 10000211212012 12500264015015 14286016017160 20000422424024 25000528030030 50001056060060 100002112120120