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202011111009 = 322337791372437
BaseRepresentation
bin1011110000100011001…
…1001110111001100001
3201022102111112201011100
42330020303032321201
511302204321023014
6232445211105013
720411011053261
oct2741063167141
9638374481140
10202011111009
1178744007714
1233199142169
1316084b869a6
149ac522d7a1
1553c4cce009
hex2f08ccee61

202011111009 has 96 divisors (see below), whose sum is σ = 319110405120. Its totient is φ = 122796850176.

The previous prime is 202011110999. The next prime is 202011111023. The reversal of 202011111009 is 900111110202.

It is a happy number.

202011111009 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 202011111009 - 28 = 202011110753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202011110982 and 202011111000.

It is not an unprimeable number, because it can be changed into a prime (202011111059) 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 95 ways as a sum of consecutive naturals, for example, 82892139 + ... + 82894575.

It is an arithmetic number, because the mean of its divisors is an integer number (3324066720).

Almost surely, 2202011111009 is an apocalyptic number.

It is an amenable number.

202011111009 is a deficient number, since it is larger than the sum of its proper divisors (117099294111).

202011111009 is a wasteful number, since it uses less digits than its factorization.

202011111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 2020111 and 11009, that added together give a triangular number (2031120 = T2015).

The spelling of 202011111009 in words is "two hundred two billion, eleven million, one hundred eleven thousand, nine".

Divisors: 1 3 9 23 37 69 79 111 137 207 237 333 411 711 851 1233 1817 2437 2553 2923 3151 5069 5451 7311 7659 8769 9453 10823 15207 16353 21933 26307 28359 32469 45621 56051 67229 90169 97407 116587 168153 192523 201687 248929 270507 333869 349761 400451 504459 577569 605061 746787 811521 1001607 1049283 1201353 1732707 2073887 2240361 3004821 3604059 4428029 6221661 7123351 7678987 9210373 12353153 13284087 18664983 21370053 23036961 26375651 27631119 37059459 39852261 64110159 69110883 79126953 82893357 111178377 163837073 237380859 284122519 491511219 606639973 852367557 975899087 1474533657 1819919919 2557102671 2927697261 5459759757 8783091783 22445679001 67337037003 202011111009