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201000101211 = 3471371433887
BaseRepresentation
bin1011101100110010001…
…0100010010101011011
3201012211001011002110000
42323030202202111123
511243122011214321
6232201013424043
720343653445660
oct2731442422533
9635731132400
10201000101211
1178275354028
1232b5663b023
1315c53593440
149a2ac57a67
155366175826
hex2ecc8a255b

201000101211 has 160 divisors (see below), whose sum is σ = 376043931648. Its totient is φ = 104169784320.

The previous prime is 201000101207. The next prime is 201000101287. The reversal of 201000101211 is 112101000102.

It is a happy number.

201000101211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201000101211 - 22 = 201000101207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000101193 and 201000101202.

It is not an unprimeable number, because it can be changed into a prime (201000101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 226606210 + ... + 226607096.

Almost surely, 2201000101211 is an apocalyptic number.

201000101211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201000101211 is a deficient number, since it is larger than the sum of its proper divisors (175043830437).

201000101211 is a wasteful number, since it uses less digits than its factorization.

201000101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000101211 its reverse (112101000102), we get a palindrome (313101101313).

The spelling of 201000101211 in words is "two hundred one billion, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 63 71 81 91 117 189 213 273 351 433 497 567 639 819 887 923 1053 1299 1491 1917 2457 2661 2769 3031 3897 4473 5629 5751 6209 6461 7371 7983 8307 9093 11531 11691 13419 16887 18627 19383 23949 24921 27279 30743 34593 35073 39403 40257 50661 55881 58149 62977 71847 74763 80717 81837 92229 103779 118209 151983 167643 174447 188931 215201 242151 245511 276687 311337 354627 384071 399659 440839 455949 502929 523341 566793 645603 726453 818701 830061 934011 1063881 1152213 1198977 1322517 1700379 1936809 2179359 2456103 2490183 2688497 2797613 3191643 3456639 3596931 3967551 4992923 5101137 5730907 5810427 6538077 7368309 8065491 8392839 10369917 10790793 11902653 14978769 17192721 17431281 22104927 24196473 25178517 27269041 31109751 32372379 34950461 35707959 44936307 51578163 66314781 72589419 75535551 81807123 104851383 134808921 154734489 190883287 217768257 226606653 245421369 314554149 354497533 404426763 464203467 572649861 736264107 943662447 1063492599 1717949583 2208792321 2481482731 2830987341 3190477797 5153848749 7444448193 9571433391 15461546247 22333344579 28714300173 67000033737 201000101211