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21003440265332 = 22751718779791
BaseRepresentation
bin1001100011010001111101…
…00110001001100001110100
32202100220112212100111222022
410301220332212021201310
510223110021201442312
6112400503001252312
74265306554400000
oct461507646114164
982326485314868
1021003440265332
116768566520218
122432735794098
13b94801232925
14528801553700
1526653365a172
hex131a3e989874

21003440265332 has 144 divisors (see below), whose sum is σ = 45432939460608. Its totient is φ = 8466597511680.

The previous prime is 21003440265263. The next prime is 21003440265337. The reversal of 21003440265332 is 23356204430012.

It is a happy number.

It is a super-2 number, since 2×210034402653322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21003440265292 and 21003440265301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21003440265337) 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, 2145173357 + ... + 2145183147.

It is an arithmetic number, because the mean of its divisors is an integer number (315506524032).

Almost surely, 221003440265332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21003440265332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716469730304).

21003440265332 is an abundant number, since it is smaller than the sum of its proper divisors (24429499195276).

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

21003440265332 is an equidigital number, since it uses as much as digits as its factorization.

21003440265332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11694 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 21003440265332 its reverse (23356204430012), we get a palindrome (44359644695344).

The spelling of 21003440265332 in words is "twenty-one trillion, three billion, four hundred forty million, two hundred sixty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 1877 2401 3332 3754 4802 5831 7508 9604 9791 11662 13139 16807 19582 23324 26278 31909 33614 39164 40817 52556 63818 67228 68537 81634 91973 127636 137074 163268 166447 183946 223363 274148 285719 332894 367892 446726 479759 571438 643811 665788 893452 959518 1142876 1165129 1287622 1563541 1919036 2330258 2575244 3127082 3358313 4506677 4660516 6254164 6716626 8155903 9013354 10944787 13433252 16311806 18026708 18377707 21889574 23508191 31546739 32623612 36755414 43779148 47016382 57091321 63093478 73510828 76613509 94032764 114182642 126186956 128643949 153227018 164557337 228365284 257287898 306454036 312421019 329114674 399639247 514575796 536294563 624842038 658229348 799278494 900507643 1072589126 1249684076 1598556988 1801015286 2145178252 2186947133 2797474729 3602030572 4373894266 5594949458 6303553501 8747788532 11189898916 12607107002 15308629931 25214214004 30617259862 44124874507 61234519724 88249749014 107160409517 176499498028 214320819034 308874121549 428641638068 617748243098 750122866619 1235496486196 1500245733238 3000491466476 5250860066333 10501720132666 21003440265332