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120020002011 = 327132329219707
BaseRepresentation
bin110111111000110111…
…1111110010011011011
3102110210101210211002200
41233301233332103123
53431300110031021
6131045245101243
711446131120210
oct1576157762333
9373711724080
10120020002011
114699a186a08
121b316557823
13b41939b690
145b47c71b07
1531c6b07126
hex1bf1bfe4db

120020002011 has 96 divisors (see below), whose sum is σ = 230324290560. Its totient is φ = 58466403072.

The previous prime is 120020001947. The next prime is 120020002019. The reversal of 120020002011 is 110200020021.

It is not a de Polignac number, because 120020002011 - 26 = 120020001947 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 = 120020001984 and 120020002002.

It is not an unprimeable number, because it can be changed into a prime (120020002019) 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, 436420 + ... + 656126.

It is an arithmetic number, because the mean of its divisors is an integer number (2399211360).

Almost surely, 2120020002011 is an apocalyptic number.

120020002011 is a deficient number, since it is larger than the sum of its proper divisors (110304288549).

120020002011 is a wasteful number, since it uses less digits than its factorization.

120020002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219785 (or 219782 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020002011 its reverse (110200020021), we get a palindrome (230220022032).

The spelling of 120020002011 in words is "one hundred twenty billion, twenty million, two thousand, eleven".

Divisors: 1 3 7 9 13 21 23 29 39 63 69 87 91 117 161 203 207 261 273 299 377 483 609 667 819 897 1131 1449 1827 2001 2093 2639 2691 3393 4669 6003 6279 7917 8671 14007 18837 23751 26013 42021 60697 78039 182091 219707 546273 659121 1537949 1977363 2856191 4613847 5053261 6371503 8568573 13841541 15159783 19114509 19993337 25705719 35372827 44600521 45479349 57343527 59980011 65692393 82829539 106118481 133801563 146544569 179940033 197077179 248488617 318355443 401404689 439633707 459846751 579806773 591231537 745465851 1025811983 1318901121 1379540253 1739420319 1905079397 3077435949 4138620759 5218260957 5715238191 9232307847 13335555779 17145714573 40006667337 120020002011