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201012222006 = 23231267251691
BaseRepresentation
bin1011101100110101000…
…0110001100000110110
3201012211212221220001100
42323031100301200312
511243133112101011
6232202125310530
720344161460401
oct2731520614066
9635755856040
10201012222006
1178281182612
1232b5a705446
1315c55c483cb
149a2c6d0d38
15536726bd56
hex2ecd431836

201012222006 has 144 divisors (see below), whose sum is σ = 459229103424. Its totient is φ = 63528300000.

The previous prime is 201012221987. The next prime is 201012222007. The reversal of 201012222006 is 600222210102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 201012222006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012222007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 290900121 + ... + 290900811.

It is an arithmetic number, because the mean of its divisors is an integer number (3189090996).

Almost surely, 2201012222006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012222006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229614551712).

201012222006 is an abundant number, since it is smaller than the sum of its proper divisors (258216881418).

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

201012222006 is a wasteful number, since it uses less digits than its factorization.

201012222006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201012222006 its reverse (600222210102), we get a palindrome (801234432108).

The spelling of 201012222006 in words is "two hundred one billion, twelve million, two hundred twenty-two thousand, six".

Divisors: 1 2 3 6 9 18 31 62 67 93 134 186 201 251 279 402 502 558 603 691 753 961 1206 1382 1506 1922 2073 2077 2259 2883 4146 4154 4518 5766 6219 6231 7781 8649 12438 12462 15562 16817 17298 18693 21421 23343 33634 37386 42842 46297 46686 50451 64263 64387 70029 92594 100902 128526 128774 138891 140058 151353 173441 192789 193161 241211 277782 302706 346882 385578 386322 416673 482422 520323 521327 579483 664051 723633 833346 1040646 1042654 1158966 1328102 1435207 1447266 1560969 1563981 1992153 2170899 2870414 3121938 3127962 3984306 4305621 4341798 4691943 5376671 5976459 8611242 9383886 10753342 11620547 11952918 12916863 16130013 16161137 23241094 25833726 32260026 32322274 34861641 44491417 48390039 48483411 69723282 88982834 96780078 96966822 104584923 133474251 145450233 166676801 209169846 266948502 290900466 333353602 360236957 400422753 500030403 720473914 800845506 1000060806 1080710871 1500091209 2161421742 3000182418 3242132613 6484265226 11167345667 22334691334 33502037001 67004074002 100506111003 201012222006