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1020000101211 = 327133747716171
BaseRepresentation
bin11101101011111001011…
…11100110001101011011
310121111210120010211120100
432311330233212031123
5113202430011214321
62100325342030443
7133456360544010
oct16657457461533
93544716124510
101020000101211
11363641513a63
12145823b78423
13752549aa560
1437522757707
151b7ec502326
hexed7cbe635b

1020000101211 has 96 divisors (see below), whose sum is σ = 1901969491968. Its totient is φ = 512342288640.

The previous prime is 1020000101191. The next prime is 1020000101221. The reversal of 1020000101211 is 1121010000201.

It is a happy number.

It is not a de Polignac number, because 1020000101211 - 26 = 1020000101147 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 = 1020000101193 and 1020000101202.

It is not an unprimeable number, because it can be changed into a prime (1020000101221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066156 + ... + 1782326.

It is an arithmetic number, because the mean of its divisors is an integer number (19812182208).

Almost surely, 21020000101211 is an apocalyptic number.

1020000101211 is a deficient number, since it is larger than the sum of its proper divisors (881969390757).

1020000101211 is a wasteful number, since it uses less digits than its factorization.

1020000101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716281 (or 716278 counting only the distinct ones).

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

Adding to 1020000101211 its reverse (1121010000201), we get a palindrome (2141010101412).

It can be divided in two parts, 1020000 and 101211, that added together give a palindrome (1121211).

The spelling of 1020000101211 in words is "one trillion, twenty billion, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 37 39 47 63 91 111 117 141 259 273 329 333 423 481 611 777 819 987 1443 1739 1833 2331 2961 3367 4277 4329 5217 5499 10101 12173 12831 15651 22607 30303 36519 38493 67821 109557 158249 203463 474747 716171 1424241 2148513 5013197 6445539 9310223 15039591 26498327 27930669 33660037 45118773 65171561 79494981 83792007 100980111 185488289 195514683 235620259 238484943 302940333 344478251 437580481 556464867 586544049 706860777 1033434753 1245421369 1312741443 1669394601 2120582331 2411347757 3063063367 3100304259 3736264107 3938224329 7234043271 8717949583 9189190101 11208792321 16190477797 21702129813 26153848749 27567570303 48571433391 78461546247 113333344579 145714300173 340000033737 1020000101211