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2123430343212 = 2231937301183597
BaseRepresentation
bin11110111001100110010…
…011111011001000101100
321111222221111210221201010
4132321212103323020230
5234242241131440322
64303253533345220
7306261404053053
oct36714623731054
97458844727633
102123430343212
117495a60865a2
122a3650638210
13125314339809
1474abb62139a
153a37e1d120c
hex1ee664fb22c

2123430343212 has 96 divisors (see below), whose sum is σ = 5358243905280. Its totient is φ = 652209304320.

The previous prime is 2123430343127. The next prime is 2123430343241.

It is a happy number.

2123430343212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21234303432122 (a number of 25 digits) contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2123430343212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25358998 + ... + 25442594.

It is an arithmetic number, because the mean of its divisors is an integer number (55815040680).

Almost surely, 22123430343212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123430343212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679121952640).

2123430343212 is an abundant number, since it is smaller than the sum of its proper divisors (3234813562068).

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

2123430343212 is a wasteful number, since it uses less digits than its factorization.

2123430343212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86671 (or 86669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2123430 and 343212, that added together give a palindrome (2466642).

The spelling of 2123430343212 in words is "two trillion, one hundred twenty-three billion, four hundred thirty million, three hundred forty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 3011 4218 6022 8436 9033 12044 18066 36132 57209 83597 111407 114418 167194 171627 222814 228836 250791 334221 334388 343254 445628 501582 668442 686508 1003164 1336884 1588343 2116733 3093089 3176686 4233466 4765029 6186178 6350199 6353372 8466932 9279267 9530058 12372356 12700398 18558534 19060116 25400796 37117068 58768691 117537382 176306073 235074764 251710567 352612146 503421134 705224292 755131701 1006842268 1510263402 3020526804 4782500773 9313290979 9565001546 14347502319 18626581958 19130003092 27939872937 28695004638 37253163916 55879745874 57390009276 111759491748 176952528601 353905057202 530857585803 707810114404 1061715171606 2123430343212