Search a number
-
+
21231121311344 = 2472367149825593
BaseRepresentation
bin1001101001111010000010…
…11100011010011001110000
32210011200020100102001000002
410310331001130122121300
510240322314023430334
6113053235324245132
74320616656350030
oct464750134323160
983150210361002
1021231121311344
116846082538a4a
12246a8976a07a8
13bb0117366769
1453583dab98c0
1526c40bd40b7e
hex134f4171a670

21231121311344 has 160 divisors (see below), whose sum is σ = 50122141977600. Its totient is φ = 8515988084736.

The previous prime is 21231121311329. The next prime is 21231121311359. The reversal of 21231121311344 is 44311312113212.

It is an interprime number because it is at equal distance from previous prime (21231121311329) and next prime (21231121311359).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25303412 + ... + 26129004.

It is an arithmetic number, because the mean of its divisors is an integer number (313263387360).

Almost surely, 221231121311344 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 21231121311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061070988800).

21231121311344 is an abundant number, since it is smaller than the sum of its proper divisors (28891020666256).

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

21231121311344 is a wasteful number, since it uses less digits than its factorization.

21231121311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825847 (or 825841 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 21231121311344 its reverse (44311312113212), we get a palindrome (65542433424556).

The spelling of 21231121311344 in words is "twenty-one trillion, two hundred thirty-one billion, one hundred twenty-one million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 67 92 112 134 149 161 184 268 298 322 368 469 536 596 644 938 1043 1072 1192 1288 1541 1876 2086 2384 2576 3082 3427 3752 4172 6164 6854 7504 8344 9983 10787 12328 13708 16688 19966 21574 23989 24656 27416 39932 43148 47978 54832 69881 79864 86296 95956 139762 159728 172592 191912 229609 279524 383824 459218 559048 825593 918436 1118096 1607263 1651186 1836872 3214526 3302372 3673744 5779151 6429052 6604744 11558302 12858104 13209488 18988639 23116604 25716208 37977278 46233208 55314731 75954556 92466416 110629462 123013357 132920473 151909112 221258924 246026714 265840946 303818224 387203117 442517848 492053428 531681892 774406234 861093499 885035696 984106856 1063363784 1272238813 1548812468 1722186998 1968213712 2126727568 2544477626 2829307211 3097624936 3444373996 5088955252 5658614422 6195249872 6888747992 8241894919 8905671691 10177910504 11317228844 13777495984 16483789838 17811343382 19805150477 20355821008 22634457688 32967579676 35622686764 39610300954 45268915376 57693264433 65935159352 71245373528 79220601908 115386528866 131870318704 142490747056 158441203816 189563583137 230773057732 316882407632 379127166274 461546115464 758254332548 923092230928 1326945081959 1516508665096 2653890163918 3033017330192 5307780327836 10615560655672 21231121311344