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121021232648100 = 2235219115711344407
BaseRepresentation
bin11011100001000101110011…
…100101010000111110100100
3120212111111221210011201222120
4123201011303211100332210
5111330302441024214400
61105220215312425540
734330331651363301
oct3341056345207644
9525444853151876
10121021232648100
11356198a88a3964
12116a6885b482b0
13526b33a5859c5
1421c565d38a0a8
15ded08ee71ca0
hex6e1173950fa4

121021232648100 has 144 divisors (see below), whose sum is σ = 352212352966656. Its totient is φ = 32082904784000.

The previous prime is 121021232648087. The next prime is 121021232648153. The reversal of 121021232648100 is 1846232120121.

It is a super-2 number, since 2×1210212326481002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89346097 + ... + 90690503.

It is an arithmetic number, because the mean of its divisors is an integer number (2445919117824).

Almost surely, 2121021232648100 is an apocalyptic number.

121021232648100 is a gapful number since it is divisible by the number (10) 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 121021232648100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176106176483328).

121021232648100 is an abundant number, since it is smaller than the sum of its proper divisors (231191120318556).

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

121021232648100 is a wasteful number, since it uses less digits than its factorization.

121021232648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346186 (or 1346179 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 121021232648100 its reverse (1846232120121), we get a palindrome (122867464768221).

The spelling of 121021232648100 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred thirty-two million, six hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1571 1910 2292 2865 3142 3820 4713 4775 5730 6284 7855 9426 9550 11460 14325 15710 18852 19100 23565 28650 31420 39275 47130 57300 78550 94260 117825 157100 235650 300061 471300 600122 900183 1200244 1344407 1500305 1800366 2688814 3000610 3600732 4033221 4500915 5377628 6001220 6722035 7501525 8066442 9001830 13444070 15003050 16132884 18003660 20166105 22504575 26888140 30006100 33610175 40332210 45009150 67220350 80664420 90018300 100830525 134440700 201661050 256781737 403322100 513563474 770345211 1027126948 1283908685 1540690422 2112063397 2567817370 3081380844 3851726055 4224126794 5135634740 6336190191 6419543425 7703452110 8448253588 10560316985 12672380382 12839086850 15406904220 19258630275 21120633970 25344760764 25678173700 31680950955 38517260550 42241267940 52801584925 63361901910 77034521100 105603169850 126723803820 158404754775 211206339700 316809509550 403404108827 633619019100 806808217654 1210212326481 1613616435308 2017020544135 2420424652962 4034041088270 4840849305924 6051061632405 8068082176540 10085102720675 12102123264810 20170205441350 24204246529620 30255308162025 40340410882700 60510616324050 121021232648100