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21033444433012 = 221117233073982379
BaseRepresentation
bin1001100100001001110101…
…11110111101110001110100
32202110202222220111011022221
410302010322332331301310
510224102443233324022
6112422344142532124
74300421234534344
oct462047276756164
982422886434287
1021033444433012
11677a263050510
122438509b97044
13b975a34269bb
1452a04a364d24
152671dc808cc7
hex13213afbdc74

21033444433012 has 96 divisors (see below), whose sum is σ = 44509882475520. Its totient is φ = 8578997982720.

The previous prime is 21033444432997. The next prime is 21033444433019.

21033444433012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033444433019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3290439 + ... + 7272817.

It is an arithmetic number, because the mean of its divisors is an integer number (463644609120).

Almost surely, 221033444433012 is an apocalyptic number.

21033444433012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21033444433012 is an abundant number, since it is smaller than the sum of its proper divisors (23476438042508).

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

21033444433012 is a wasteful number, since it uses less digits than its factorization.

21033444433012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982741 (or 3982739 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 2103344 and 4433012, that added together give a palindrome (6536356).

The spelling of 21033444433012 in words is "twenty-one trillion, thirty-three billion, four hundred forty-four million, four hundred thirty-three thousand, twelve".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 307 374 391 506 614 748 782 1012 1228 1564 3377 4301 5219 6754 7061 8602 10438 13508 14122 17204 20876 28244 57409 77671 114818 120037 155342 229636 240074 310684 480148 1320407 2640814 3982379 5281628 7964758 15929516 43806169 67700443 87612338 91594717 135400886 175224676 183189434 270801772 366378868 744704873 1007541887 1222590353 1489409746 1557110189 2015083774 2445180706 2978819492 3114220378 4030167548 4890361412 6228440756 13448493883 17128212079 20784036001 26896987766 28119578119 34256424158 41568072002 53793975532 56239156238 68512848316 83136144004 112478312476 228624396011 309315359309 457248792022 478032828023 618630718618 914497584044 956065656046 1237261437236 1912131312092 5258361108253 10516722216506 21033444433012