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202143320442 = 23375313177023
BaseRepresentation
bin1011110001000010101…
…1100100100101111010
3201022202201022122102000
42330100223210211322
511302442142223232
6232510252521430
720414204605440
oct2742053444572
9638681278360
10202143320442
11788016a8608
1233215480276
13160a639701b
149ad8a06b90
1553d16e727c
hex2f10ae497a

202143320442 has 128 divisors (see below), whose sum is σ = 527065989120. Its totient is φ = 56232221760.

The previous prime is 202143320441. The next prime is 202143320453. The reversal of 202143320442 is 244023341202.

202143320442 is a `hidden beast` number, since 2 + 0 + 21 + 433 + 204 + 4 + 2 = 666.

202143320442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (202143320441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2585943 + ... + 2662965.

It is an arithmetic number, because the mean of its divisors is an integer number (4117703040).

Almost surely, 2202143320442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202143320442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263532994560).

202143320442 is an abundant number, since it is smaller than the sum of its proper divisors (324922668678).

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

202143320442 is a wasteful number, since it uses less digits than its factorization.

202143320442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77225 (or 77219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 202143320442 its reverse (244023341202), we get a palindrome (446166661644).

The spelling of 202143320442 in words is "two hundred two billion, one hundred forty-three million, three hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 131 159 189 262 318 371 378 393 477 742 786 917 954 1113 1179 1431 1834 2226 2358 2751 2862 3339 3537 5502 6678 6943 7074 8253 10017 13886 16506 20034 20829 24759 41658 48601 49518 62487 77023 97202 124974 145803 154046 187461 231069 291606 374922 437409 462138 539161 693207 874818 1078322 1312227 1386414 1617483 2079621 2624454 3234966 4082219 4159242 4852449 8164438 9704898 10090013 12246657 14557347 20180026 24493314 28575533 29114694 30270039 36739971 57151066 60540078 70630091 73479942 85726599 90810117 110219913 141260182 171453198 181620234 211890273 220439826 257179797 272430351 423780546 514359594 534770689 544860702 635670819 771539391 1069541378 1271341638 1543078782 1604312067 1907012457 3208624134 3743394823 3814024914 4812936201 7486789646 9625872402 11230184469 14438808603 22460368938 28877617206 33690553407 67381106814 101071660221 202143320442