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2021201012096 = 27729110970141
BaseRepresentation
bin11101011010011000111…
…101111110010110000000
321011020001222021212002022
4131122120331332112000
5231103404424341341
64144305452141012
7266012150063660
oct35323075762600
97136058255068
102021201012096
1170a206307a92
12287880167768
131187a19c9046
146db8048a1a0
15378993d3e4b
hex1d698f7e580

2021201012096 has 128 divisors (see below), whose sum is σ = 4764886344000. Its totient is φ = 835592970240.

The previous prime is 2021201012093. The next prime is 2021201012099. The reversal of 2021201012096 is 6902101021202.

It is an interprime number because it is at equal distance from previous prime (2021201012093) and next prime (2021201012099).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021201012093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28781186 + ... + 28851326.

Almost surely, 22021201012096 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 2021201012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382443172000).

2021201012096 is an abundant number, since it is smaller than the sum of its proper divisors (2743685331904).

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

2021201012096 is a wasteful number, since it uses less digits than its factorization.

2021201012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71300 (or 71288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 2021201012096 its reverse (6902101021202), we get a palindrome (8923302033298).

The spelling of 2021201012096 in words is "two trillion, twenty-one billion, two hundred one million, twelve thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1109 1624 1856 2218 3248 3712 4436 6496 7763 8872 12992 15526 17744 25984 31052 32161 35488 62104 64322 70141 70976 124208 128644 140282 141952 225127 248416 257288 280564 450254 490987 496832 514576 561128 900508 981974 993664 1029152 1122256 1801016 1963948 2034089 2058304 2244512 3602032 3927896 4068178 4116608 4489024 7204064 7855792 8136356 8978048 14238623 14408128 15711584 16272712 28477246 28816256 31423168 32545424 56954492 62846336 65090848 77786369 113908984 130181696 155572738 227817968 260363392 311145476 455635936 544504583 622290952 911271872 1089009166 1244581904 1822543744 2178018332 2255804701 2489163808 4356036664 4511609402 4978327616 8712073328 9023218804 9956655232 15790632907 17424146656 18046437608 31581265814 34848293312 36092875216 63162531628 69696586624 72185750432 126325063256 144371500864 252650126512 288743001728 505300253024 1010600506048 2021201012096