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2021131013022 = 2331110949163577
BaseRepresentation
bin11101011010010100110…
…010111100101110011110
321011012220002120112102000
4131122110302330232132
5231103234014404042
64144254511543130
7266010340103022
oct35322462745636
97135802515360
102021131013022
1170a17a847710
1228786082aaa6
1311879035aa84
146db75068382
15378931a874c
hex1d694cbcb9e

2021131013022 has 128 divisors (see below), whose sum is σ = 4954811558400. Its totient is φ = 605599545600.

The previous prime is 2021131012993. The next prime is 2021131013023. The reversal of 2021131013022 is 2203101311202.

2021131013022 is a `hidden beast` number, since 202 + 1 + 1 + 310 + 130 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021131012986 and 2021131013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021131013023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31758498 + ... + 31822074.

It is an arithmetic number, because the mean of its divisors is an integer number (38709465300).

Almost surely, 22021131013022 is an apocalyptic number.

2021131013022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021131013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477405779200).

2021131013022 is an abundant number, since it is smaller than the sum of its proper divisors (2933680545378).

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

2021131013022 is a wasteful number, since it uses less digits than its factorization.

2021131013022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64199 (or 64193 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2021131013022 its reverse (2203101311202), we get a palindrome (4224232324224).

The spelling of 2021131013022 in words is "two trillion, twenty-one billion, one hundred thirty-one million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 109 198 218 297 327 491 594 654 981 982 1199 1473 1962 2398 2943 2946 3597 4419 5401 5886 7194 8838 10791 10802 13257 16203 21582 26514 32373 32406 48609 53519 63577 64746 97218 107038 127154 145827 160557 190731 291654 321114 381462 481671 572193 588709 699347 963342 1144386 1177418 1398694 1445013 1716579 1766127 2098041 2890026 3433158 3532254 4196082 5298381 6294123 6929893 10596762 12588246 13859786 15895143 18882369 20789679 31216307 31790286 37764738 41579358 62369037 62432614 76228823 93648921 124738074 152457646 187107111 187297842 228686469 280946763 343379377 374214222 457372938 561893526 686059407 686758754 842840289 1030138131 1372118814 1685680578 2058178221 2060276262 3090414393 3402577463 4116356442 6180828786 6805154926 9271243179 10207732389 18542486358 20415464778 30623197167 37428352093 61246394334 74856704186 91869591501 112285056279 183739183002 224570112558 336855168837 673710337674 1010565506511 2021131013022