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21213311331212 = 227112131493232477
BaseRepresentation
bin1001101001011000110111…
…11000101110101110001100
32210002222021010210022020022
410310230123320232232030
510240024330200044322
6113041132150441312
74316416426124510
oct464543370565614
983088233708208
1021213311331212
116839573242300
122467347063238
13bab539607990
14534a305d4140
1526bc184be942
hex134b1be2eb8c

21213311331212 has 144 divisors (see below), whose sum is σ = 50558541902400. Its totient is φ = 7577958136320.

The previous prime is 21213311331181. The next prime is 21213311331217.

21213311331212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (21213311331217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4946318 + ... + 8178794.

Almost surely, 221213311331212 is an apocalyptic number.

21213311331212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213311331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25279270951200).

21213311331212 is an abundant number, since it is smaller than the sum of its proper divisors (29345230571188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21213311331212 is a wasteful number, since it uses less digits than its factorization.

21213311331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232672 (or 3232659 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 2121331 and 1331212, that added together give a palindrome (3452543).

The spelling of 21213311331212 in words is "twenty-one trillion, two hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 149 154 182 242 286 298 308 364 484 572 596 847 1001 1043 1573 1639 1694 1937 2002 2086 3146 3278 3388 3874 4004 4172 6292 6556 7748 11011 11473 13559 18029 21307 22022 22946 27118 36058 42614 44044 45892 54236 72116 85228 126203 149149 234377 252406 298298 468754 504812 596596 937508 1640639 3232477 3281278 6464954 6562556 12929908 22627339 35557247 42022201 45254678 71114494 84044402 90509356 142228988 168088804 248900729 294155407 391129717 462244211 481639073 497801458 588310814 782259434 924488422 963278146 995602916 1176621628 1564518868 1848976844 1926556292 2737908019 3235709477 3371473511 5084686321 5298029803 5475816038 6261307949 6471418954 6742947022 10169372642 10596059606 10951632076 12522615898 12942837908 13485894044 20338745284 21192119212 25045231796 35592804247 37086208621 43829155643 58278327833 68874387439 71185608494 74172417242 87658311286 116556655666 137748774878 142371216988 148344834484 175316622572 233113311332 275497549756 407948294831 482120712073 757618261829 815896589662 964241424146 1515236523658 1631793179324 1928482848292 3030473047316 5303327832803 10606655665606 21213311331212