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100130322020100 = 223524127130039397
BaseRepresentation
bin10110110001000101101000…
…010001100111011100000100
3111010112100212022012002102220
4112301011220101213130010
5101111013344414120400
6552543122423532340
730043114503060561
oct2661055021473404
9433470768162386
10100130322020100
11299a503842a819
12b291b162ba0b0
1343b43309582c8
141aa2494d83868
15b89945a417a0
hex5b1168467704

100130322020100 has 144 divisors (see below), whose sum is σ = 297871631828736. Its totient is φ = 25954038144000.

The previous prime is 100130322020021. The next prime is 100130322020159. The reversal of 100130322020100 is 1020223031001.

100130322020100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1001303220201003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100130322020100.

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, 11686399 + ... + 18352998.

Almost surely, 2100130322020100 is an apocalyptic number.

100130322020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100130322020100 is an abundant number, since it is smaller than the sum of its proper divisors (197741309808636).

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

100130322020100 is a wasteful number, since it uses less digits than its factorization.

100130322020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30039726 (or 30039719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100130322020100 its reverse (1020223031001), we get a palindrome (101150545051101).

The spelling of 100130322020100 in words is "one hundred trillion, one hundred thirty billion, three hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3075 3252 4065 4100 5420 6150 6775 8130 11111 12300 13550 16260 20325 22222 27100 33333 40650 44444 55555 66666 81300 111110 133332 166665 222220 277775 333330 555550 666660 833325 1111100 1666650 3333300 30039397 60078794 90118191 120157588 150196985 180236382 300393970 360472764 450590955 600787940 750984925 901181910 1231615277 1501969850 1802363820 2252954775 2463230554 3003939700 3694845831 4505909550 4926461108 6158076385 7389691662 8140676587 9011819100 12316152770 14779383324 16281353174 18474229155 24422029761 24632305540 30790381925 32562706348 36948458310 40703382935 48844059522 61580763850 73896916620 81406765870 92371145775 97688119044 122110148805 123161527700 162813531740 184742291550 203516914675 244220297610 333767740067 369484583100 407033829350 488440595220 610550744025 667535480134 814067658700 1001303220201 1221101488050 1335070960268 1668838700335 2002606440402 2442202976100 3337677400670 4005212880804 5006516101005 6675354801340 8344193501675 10013032202010 16688387003350 20026064404020 25032580505025 33376774006700 50065161010050 100130322020100