Search a number
-
+
2021120200242 = 23211131531951257
BaseRepresentation
bin11101011010010100001…
…001101100111000110010
321011012212100020012001200
4131122110021230320302
5231103223232401432
64144253444112030
7266010146146623
oct35322411547062
97135770205050
102021120200242
1170a174731930
12287859095616
1311878b043290
146db73851a4a
153789226ea7c
hex1d69426ce32

2021120200242 has 96 divisors (see below), whose sum is σ = 5145105813120. Its totient is φ = 565300373760.

The previous prime is 2021120200241. The next prime is 2021120200243. The reversal of 2021120200242 is 2420020211202.

2021120200242 is a `hidden beast` number, since 202 + 1 + 1 + 20 + 200 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (2021120200241) and next prime (2021120200243).

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

It is not an unprimeable number, because it can be changed into a prime (2021120200241) 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, 39405478 + ... + 39456734.

It is an arithmetic number, because the mean of its divisors is an integer number (53594852220).

Almost surely, 22021120200242 is an apocalyptic number.

2021120200242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2021120200242 is an abundant number, since it is smaller than the sum of its proper divisors (3123985612878).

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

2021120200242 is a wasteful number, since it uses less digits than its factorization.

2021120200242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66608 (or 66605 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2021120200242 its reverse (2420020211202), we get a palindrome (4441140411444).

The spelling of 2021120200242 in words is "two trillion, twenty-one billion, one hundred twenty million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 15319 30638 45957 51257 91914 102514 137871 153771 168509 199147 275742 307542 337018 398294 461313 505527 563827 597441 666341 922626 1011054 1127654 1194882 1332682 1516581 1691481 1792323 1999023 2190617 3033162 3382962 3584646 3998046 4381234 5074443 5997069 6571851 7329751 10148886 11994138 13143702 14659502 19715553 21989253 39431106 43978506 65967759 131935518 785205983 1570411966 2355617949 4711235898 7066853847 8637265813 10207677779 14133707694 17274531626 20415355558 25911797439 30623033337 51823594878 61246066674 77735392317 91869100011 112284455569 155470784634 183738200022 224568911138 336853366707 673706733414 1010560100121 2021120200242