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201010212120 = 233523101721087
BaseRepresentation
bin1011101100110100100…
…1000110110100011000
3201012211202011210000010
42323031021012310120
511243132103241440
6232202014241520
720344135416564
oct2731511066430
9635752153003
10201010212120
117828002a553
1232b59ab62a0
1315c556c3623
149a2c32a6a4
155366ec1580
hex2ecd246d18

201010212120 has 128 divisors (see below), whose sum is σ = 635480432640. Its totient is φ = 50764454400.

The previous prime is 201010212113. The next prime is 201010212133. The reversal of 201010212120 is 21212010102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201010212096 and 201010212105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81784 + ... + 639303.

It is an arithmetic number, because the mean of its divisors is an integer number (4964690880).

Almost surely, 2201010212120 is an apocalyptic number.

201010212120 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 201010212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317740216320).

201010212120 is an abundant number, since it is smaller than the sum of its proper divisors (434470220520).

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

201010212120 is a wasteful number, since it uses less digits than its factorization.

201010212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721225 (or 721221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201010212120 its reverse (21212010102), we get a palindrome (222222222222).

The spelling of 201010212120 in words is "two hundred one billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 101 115 120 138 184 202 230 276 303 345 404 460 505 552 606 690 808 920 1010 1212 1380 1515 2020 2323 2424 2760 3030 4040 4646 6060 6969 9292 11615 12120 13938 18584 23230 27876 34845 46460 55752 69690 92920 139380 278760 721087 1442174 2163261 2884348 3605435 4326522 5768696 7210870 8653044 10816305 14421740 16585001 17306088 21632610 28843480 33170002 43265220 49755003 66340004 72829787 82925005 86530440 99510006 132680008 145659574 165850010 199020012 218489361 248775015 291319148 331700020 364148935 398040024 436978722 497550030 582638296 663400040 728297870 873957444 995100060 1092446805 1456595740 1675085101 1747914888 1990200120 2184893610 2913191480 3350170202 4369787220 5025255303 6700340404 8375425505 8739574440 10050510606 13400680808 16750851010 20101021212 25126276515 33501702020 40202042424 50252553030 67003404040 100505106060 201010212120