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10022121413332 = 2272103521952859
BaseRepresentation
bin1001000111010111010011…
…1111001001101011010100
31022111002211212120111002021
42101311310333021223110
52303200301040211312
633152033215422524
72053034340301600
oct221656477115324
938432755514067
1010022121413332
1132143a32972a6
12115a430224a44
1357910b1aa802
14269105076500
15125a72055c07
hex91d74fc9ad4

10022121413332 has 72 divisors (see below), whose sum is σ = 20639816608320. Its totient is φ = 4245325418880.

The previous prime is 10022121413323. The next prime is 10022121413407. The reversal of 10022121413332 is 23331412122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022121413297 and 10022121413306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10041519 + ... + 10994377.

It is an arithmetic number, because the mean of its divisors is an integer number (286664119560).

Almost surely, 210022121413332 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 10022121413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319908304160).

10022121413332 is an abundant number, since it is smaller than the sum of its proper divisors (10617695194988).

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

10022121413332 is a wasteful number, since it uses less digits than its factorization.

10022121413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953501 (or 953492 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10022121413332 its reverse (23331412122001), we get a palindrome (33353533535333).

The spelling of 10022121413332 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 521 721 1042 1442 2084 2884 3647 5047 7294 10094 14588 20188 25529 51058 53663 102116 107326 214652 375641 751282 952859 1502564 1905718 2629487 3811436 5258974 6670013 10517948 13340026 26680052 46690091 93380182 98144477 186760364 196288954 392577908 496439539 687011339 992879078 1374022678 1985758156 2748045356 3475076773 4809079373 6950153546 9618158746 13900307092 19236317492 24325537411 48651074822 51133272517 97302149644 102266545034 204533090068 357932907619 715865815238 1431731630476 2505530353333 5011060706666 10022121413332