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21121311003 = 31317316071693
BaseRepresentation
bin10011101010111011…
…011010000100011011
32000111222110202202220
4103222323122010123
5321224023423003
613411502555123
71345256116122
oct235273320433
960458422686
1021121311003
118a5947a631
124115598aa3
131cb7aaa680
1410451b0ab9
15839411353
hex4eaeda11b

21121311003 has 64 divisors (see below), whose sum is σ = 33222131712. Its totient is φ = 11812055040.

The previous prime is 21121310957. The next prime is 21121311011. The reversal of 21121311003 is 30011312112.

It is a happy number.

It is not a de Polignac number, because 21121311003 - 29 = 21121310491 is a prime.

It is a super-2 number, since 2×211213110032 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121311053) 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 63 ways as a sum of consecutive naturals, for example, 12474825 + ... + 12476517.

It is an arithmetic number, because the mean of its divisors is an integer number (519095808).

Almost surely, 221121311003 is an apocalyptic number.

21121311003 is a deficient number, since it is larger than the sum of its proper divisors (12100820709).

21121311003 is a wasteful number, since it uses less digits than its factorization.

21121311003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21121311003 its reverse (30011312112), we get a palindrome (51132623115).

The spelling of 21121311003 in words is "twenty-one billion, one hundred twenty-one million, three hundred eleven thousand, three".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 607 663 1209 1581 1693 1821 5079 6851 7891 10319 18817 20553 22009 23673 28781 30957 52483 56451 66027 86343 134147 157449 244621 319889 374153 402441 682279 733863 892211 959667 1027651 1122459 2046837 2676633 3082953 4158557 11598743 12475671 13359463 17470067 31857181 34796229 40078389 52410201 95571543 227110871 414143353 541572077 681332613 1242430059 1624716231 7040437001 21121311003