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20122202142 = 2337235634111
BaseRepresentation
bin10010101111011000…
…000111000000011110
31220221100110210002000
4102233120013000132
5312202240432032
613124412343130
71311434616240
oct225730070036
956840423060
1020122202142
118596505329
123a96a74aa6
131b88ac2cb3
14d8c616090
157cb858e7c
hex4af60701e

20122202142 has 128 divisors (see below), whose sum is σ = 53433630720. Its totient is φ = 5488132320.

The previous prime is 20122202141. The next prime is 20122202161. The reversal of 20122202142 is 24120222102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122202141) 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, 4892667 + ... + 4896777.

It is an arithmetic number, because the mean of its divisors is an integer number (417450240).

Almost surely, 220122202142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122202142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716815360).

20122202142 is an abundant number, since it is smaller than the sum of its proper divisors (33311428578).

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

20122202142 is a wasteful number, since it uses less digits than its factorization.

20122202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715 (or 4709 counting only the distinct ones).

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

Adding to 20122202142 its reverse (24120222102), we get a palindrome (44242424244).

The spelling of 20122202142 in words is "twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 563 621 966 1126 1242 1449 1689 2898 3378 3941 4111 4347 5067 7882 8222 8694 10134 11823 12333 12949 15201 23646 24666 25898 28777 30402 35469 36999 38847 57554 70938 73998 77694 86331 90643 94553 106407 110997 116541 172662 181286 189106 212814 221994 233082 258993 271929 283659 349623 517986 543858 567318 661871 699246 776979 815787 850977 1323742 1553958 1631574 1701954 1985613 2314493 2447361 2552931 3971226 4628986 4894722 5105862 5956839 6943479 11913678 13886958 16201451 17870517 20830437 32402902 35741034 41660874 48604353 53233339 62491311 97208706 106466678 124982622 145813059 159700017 291626118 319400034 372633373 437439177 479100051 745266746 874878354 958200102 1117900119 1437300153 2235800238 2874600306 3353700357 6707400714 10061101071 20122202142