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201201022112010 = 235671031277652321
BaseRepresentation
bin101101101111110111000011…
…011100111001000100001010
3222101101122000011121211122020
4231233313003130321010022
5202332434143130041020
61551530250141305310
760244202614655124
oct5557670334710412
9871348004554566
10201201022112010
1159121968756308
121a696133265236
13883623755659b
143798277bb4214
15183da78877c40
hexb6fdc373910a

201201022112010 has 128 divisors (see below), whose sum is σ = 498744310431744. Its totient is φ = 51927541585920.

The previous prime is 201201022111951. The next prime is 201201022112087. The reversal of 201201022112010 is 10211220102102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22466650 + ... + 30118970.

It is an arithmetic number, because the mean of its divisors is an integer number (3896439925248).

Almost surely, 2201201022112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201022112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249372155215872).

201201022112010 is an abundant number, since it is smaller than the sum of its proper divisors (297543288319734).

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

201201022112010 is a wasteful number, since it uses less digits than its factorization.

201201022112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7652628.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201201022112010 its reverse (10211220102102), we get a palindrome (211412242214112).

The spelling of 201201022112010 in words is "two hundred one trillion, two hundred one billion, twenty-two million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 103 127 134 201 206 254 309 335 381 402 515 618 635 670 762 1005 1030 1270 1545 1905 2010 3090 3810 6901 8509 13081 13802 17018 20703 25527 26162 34505 39243 41406 42545 51054 65405 69010 78486 85090 103515 127635 130810 196215 207030 255270 392430 876427 1752854 2629281 4382135 5258562 7652321 8764270 13146405 15304642 22956963 26292810 38261605 45913926 76523210 114784815 229569630 512705507 788189063 971844767 1025411014 1538116521 1576378126 1943689534 2364567189 2563527535 2915534301 3076233042 3940945315 4729134378 4859223835 5127055070 5831068602 7690582605 7881890630 9718447670 11822835945 14577671505 15381165210 23645671890 29155343010 52808667221 65113599389 100100011001 105617334442 130227198778 158426001663 195340798167 200200022002 264043336105 300300033003 316852003326 325567996945 390681596334 500500055005 528086672210 600600066006 651135993890 792130008315 976703990835 1001000110010 1501500165015 1584260016630 1953407981670 3003000330030 6706700737067 13413401474134 20120102211201 33533503685335 40240204422402 67067007370670 100600511056005 201201022112010