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210243342012 = 223114735396001
BaseRepresentation
bin1100001111001101111…
…0101100111010111100
3202002200012221101002220
43003303132230322330
511421034243421022
6240330124245340
721122011630614
oct3036336547274
9662605841086
10210243342012
1181188981710
12348b60a0850
1316a9755a6b2
14a2666a9a44
15570789d85c
hex30f37acebc

210243342012 has 96 divisors (see below), whose sum is σ = 548105370624. Its totient is φ = 62177280000.

The previous prime is 210243341993. The next prime is 210243342061.

It is a happy number.

210243342012 is nontrivially palindromic in base 10.

It is a congruent number.

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, 2142012 + ... + 2238012.

It is an arithmetic number, because the mean of its divisors is an integer number (5709430944).

Almost surely, 2210243342012 is an apocalyptic number.

210243342012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210243342012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274052685312).

210243342012 is an abundant number, since it is smaller than the sum of its proper divisors (337862028612).

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

210243342012 is a wasteful number, since it uses less digits than its factorization.

210243342012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96419 (or 96417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 210243 and 342012, that added together give a palindrome (552255).

The spelling of 210243342012 in words is "two hundred ten billion, two hundred forty-three million, three hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 353 517 564 706 1034 1059 1412 1551 2068 2118 3102 3883 4236 6204 7766 11649 15532 16591 23298 33182 46596 49773 66364 96001 99546 182501 192002 199092 288003 365002 384004 547503 576006 730004 1056011 1095006 1152012 2112022 2190012 3168033 4224044 4512047 6336066 9024094 12672132 13536141 18048188 27072282 33888353 49632517 54144564 67776706 99265034 101665059 135553412 148897551 198530068 203330118 297795102 372771883 406660236 595590204 745543766 1118315649 1491087532 1592752591 2236631298 3185505182 4473262596 4778257773 6371010364 9556515546 17520278501 19113031092 35040557002 52560835503 70081114004 105121671006 210243342012