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2101021001200 = 2452114561104693
BaseRepresentation
bin11110100100101110100…
…111000100010111110000
321102212002202200102120001
4132210232213010113300
5233410342334014300
64245110135355344
7304536154563322
oct36445647042760
97385082612501
102101021001200
11740046644230
1229b237822b54
13123182755024
1473993367612
15399bbb9616a
hex1e92e9c45f0

2101021001200 has 120 divisors (see below), whose sum is σ = 5507844970896. Its totient is φ = 763832832000.

The previous prime is 2101021001173. The next prime is 2101021001221. The reversal of 2101021001200 is 21001201012.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 20016054 + ... + 20120746.

Almost surely, 22101021001200 is an apocalyptic number.

2101021001200 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 2101021001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753922485448).

2101021001200 is an abundant number, since it is smaller than the sum of its proper divisors (3406823969696).

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

2101021001200 is a wasteful number, since it uses less digits than its factorization.

2101021001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109283 (or 109272 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2101021001200 its reverse (21001201012), we get a palindrome (2122022202212).

The spelling of 2101021001200 in words is "two trillion, one hundred one billion, twenty-one million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 4561 9122 18244 22805 36488 45610 50171 72976 91220 100342 104693 114025 182440 200684 209386 228050 250855 364880 401368 418772 456100 501710 523465 802736 837544 912200 1003420 1046930 1151623 1254275 1675088 1824400 2006840 2093860 2303246 2508550 2617325 4013680 4187720 4606492 5017100 5234650 5758115 8375440 9212984 10034200 10469300 11516230 18425968 20068400 20938600 23032460 28790575 41877200 46064920 57581150 92129840 115162300 230324600 460649200 477504773 955009546 1910019092 2387523865 3820038184 4775047730 5252552503 7640076368 9550095460 10505105006 11937619325 19100190920 21010210012 23875238650 26262762515 38200381840 42020420024 47750477300 52525525030 84040840048 95500954600 105051050060 131313812575 191001909200 210102100120 262627625150 420204200240 525255250300 1050510500600 2101021001200