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2101433141200 = 245274310916481
BaseRepresentation
bin11110100101000111001…
…011010000011111010000
321102220011111012022100111
4132211013023100133100
5233412213341004300
64245215101131104
7304552320656551
oct36450713203720
97386144168314
102101433141200
117402382510a8
1229b331859a94
13123219c57253
14739d1dac328
15399e2e569ba
hex1e9472d07d0

2101433141200 has 120 divisors (see below), whose sum is σ = 5060902706496. Its totient is φ = 838543104000.

The previous prime is 2101433141191. The next prime is 2101433141231. The reversal of 2101433141200 is 21413341012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324241960 + ... + 324248440.

Almost surely, 22101433141200 is an apocalyptic number.

2101433141200 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 2101433141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530451353248).

2101433141200 is an abundant number, since it is smaller than the sum of its proper divisors (2959469565296).

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

2101433141200 is a wasteful number, since it uses less digits than its factorization.

2101433141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2101433141200 its reverse (21413341012), we get a palindrome (2122846482212).

The spelling of 2101433141200 in words is "two trillion, one hundred one billion, four hundred thirty-three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 743 1091 1486 2182 2972 3715 4364 5455 5944 6481 7430 8728 10910 11888 12962 14860 17456 18575 21820 25924 27275 29720 32405 37150 43640 51848 54550 59440 64810 74300 87280 103696 109100 129620 148600 162025 218200 259240 297200 324050 436400 518480 648100 810613 1296200 1621226 2592400 3242452 4053065 4815383 6484904 7070771 8106130 9630766 12969808 14141542 16212260 19261532 20265325 24076915 28283084 32424520 35353855 38523064 40530650 48153830 56566168 64849040 70707710 77046128 81061300 96307660 113132336 120384575 141415420 162122600 176769275 192615320 240769150 282830840 324245200 353538550 385230640 481538300 565661680 707077100 963076600 1414154200 1926153200 2828308400 5253582853 10507165706 21014331412 26267914265 42028662824 52535828530 84057325648 105071657060 131339571325 210143314120 262679142650 420286628240 525358285300 1050716570600 2101433141200