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201001233212120 = 23511842635421371
BaseRepresentation
bin101101101100111100111111…
…000110101110001011011000
3222100200112022112120011001102
4231230330333012232023120
5202321201011200241440
61551254405232010532
760223600636226255
oct5554747706561330
9870615275504042
10201001233212120
1159055165069810
121a663476390a48
138820447ba9c23
14378c723b6442c
151838783c01b15
hexb6cf3f1ae2d8

201001233212120 has 64 divisors (see below), whose sum is σ = 493372609424640. Its totient is φ = 73090476630400.

The previous prime is 201001233212119. The next prime is 201001233212161. The reversal of 201001233212120 is 21212332100102.

201001233212120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201001233212092 and 201001233212101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34365035 + ... + 39786405.

It is an arithmetic number, because the mean of its divisors is an integer number (7708947022260).

Almost surely, 2201001233212120 is an apocalyptic number.

201001233212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001233212120 is an abundant number, since it is smaller than the sum of its proper divisors (292371376212520).

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

201001233212120 is a wasteful number, since it uses less digits than its factorization.

201001233212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5505656 (or 5505652 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 201001233212120 its reverse (21212332100102), we get a palindrome (222213565312222).

The spelling of 201001233212120 in words is "two hundred one trillion, one billion, two hundred thirty-three million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 84263 168526 337052 421315 674104 842630 926893 1685260 1853786 3370520 3707572 4634465 5421371 7415144 9268930 10842742 18537860 21685484 27106855 37075720 43370968 54213710 59635081 108427420 119270162 216854840 238540324 298175405 477080648 596350810 1192701620 2385403240 456820984573 913641969146 1827283938292 2284104922865 3654567876584 4568209845730 5025030830303 9136419691460 10050061660606 18272839382920 20100123321212 25125154151515 40200246642424 50250308303030 100500616606060 201001233212120