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2131030210100 = 22521147173238261
BaseRepresentation
bin11111000000101011010…
…011000111011000110100
321112201120011022012011112
4133000223103013120310
5234403322213210400
64310552021054152
7306650625625301
oct37005323073064
97481504265145
102131030210100
11751845aa8020
122a5011857358
13125c559c287c
14751dcacc0a8
153a6764dd835
hex1f02b4c7634

2131030210100 has 144 divisors (see below), whose sum is σ = 5181866839296. Its totient is φ = 754045248000.

The previous prime is 2131030210091. The next prime is 2131030210123. The reversal of 2131030210100 is 10120301312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8824970 + ... + 9063230.

It is an arithmetic number, because the mean of its divisors is an integer number (35985186384).

Almost surely, 22131030210100 is an apocalyptic number.

2131030210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131030210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590933419648).

2131030210100 is an abundant number, since it is smaller than the sum of its proper divisors (3050836629196).

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

2131030210100 is a wasteful number, since it uses less digits than its factorization.

2131030210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238506 (or 238499 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2131030210100 its reverse (10120301312), we get a palindrome (2141150511412).

The spelling of 2131030210100 in words is "two trillion, one hundred thirty-one billion, thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 173 188 220 235 275 346 470 517 550 692 865 940 1034 1100 1175 1730 1903 2068 2350 2585 3460 3806 4325 4700 5170 7612 8131 8650 9515 10340 12925 16262 17300 19030 25850 32524 38060 40655 47575 51700 81310 89441 95150 162620 178882 190300 203275 238261 357764 406550 447205 476522 813100 894410 953044 1191305 1788820 2236025 2382610 2620871 4472050 4765220 5241742 5956525 8944100 10483484 11198267 11913050 13104355 22396534 23826100 26208710 41219153 44793068 52417420 55991335 65521775 82438306 111982670 123180937 131043550 164876612 206095765 223965340 246361874 262087100 279956675 412191530 453410683 492723748 559913350 615904685 824383060 906821366 1030478825 1119826700 1231809370 1813642732 1937300191 2060957650 2267053415 2463618740 3079523425 3874600382 4121915300 4534106830 6159046850 7749200764 9068213660 9686500955 11335267075 12318093700 19373001910 21310302101 22670534150 38746003820 42620604202 45341068300 48432504775 85241208404 96865009550 106551510505 193730019100 213103021010 426206042020 532757552525 1065515105050 2131030210100