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4202320122 = 2337111377743
BaseRepresentation
bin1111101001111010…
…0101000011111010
3101211212101222111000
43322132211003322
532101243220442
61532554145430
7206065063110
oct37236450372
911755358430
104202320122
111867111340
12993422276
1351c80ba70
142bc17bab0
15198ddbd4c
hexfa7a50fa

4202320122 has 128 divisors (see below), whose sum is σ = 12538552320. Its totient is φ = 1007536320.

The previous prime is 4202320069. The next prime is 4202320163. The reversal of 4202320122 is 2210232024.

4202320122 is a `hidden beast` number, since 420 + 23 + 201 + 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 = 4202320095 and 4202320104.

It is an unprimeable number.

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, 15183 + ... + 92925.

It is an arithmetic number, because the mean of its divisors is an integer number (97957440).

Almost surely, 24202320122 is an apocalyptic number.

4202320122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202320122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269276160).

4202320122 is an abundant number, since it is smaller than the sum of its proper divisors (8336232198).

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

4202320122 is a wasteful number, since it uses less digits than its factorization.

4202320122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77785 (or 77779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202320122 is about 64825.3046425545. The cubic root of 4202320122 is about 1613.7256827087.

Adding to 4202320122 its reverse (2210232024), we get a palindrome (6412552146).

The spelling of 4202320122 in words is "four billion, two hundred two million, three hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 77743 155486 233229 466458 544201 699687 855173 1010659 1088402 1399374 1632603 1710346 2021318 2099061 2565519 3031977 3265206 4198122 4897809 5131038 5986211 6063954 7074613 7696557 9095931 9795618 11117249 11972422 14149226 14693427 15393114 17958633 18191862 21223839 22234498 23089671 27287793 29386854 33351747 35917266 42447678 46179342 53875899 54575586 63671517 66703494 77820743 100055241 107751798 127343034 155641486 161627697 191014551 200110482 233462229 300165723 323255394 382029102 466924458 600331446 700386687 1400773374 2101160061 4202320122