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1030012212312 = 2337251234547
BaseRepresentation
bin11101111110100011000…
…00110001010001011000
310122110122022200210000000
432333101200301101120
5113333431111243222
62105103040213000
7134262443230206
oct16772140612130
93573568623000
101030012212312
1136790a050246
1214775900a160
137618c048455
1437bd2350076
151bbd64a39ac
hexefd1831458

1030012212312 has 128 divisors (see below), whose sum is σ = 2908019923200. Its totient is φ = 341968068000.

The previous prime is 1030012212293. The next prime is 1030012212347. The reversal of 1030012212312 is 2132122100301.

1030012212312 is a `hidden beast` number, since 10 + 300 + 122 + 1 + 231 + 2 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4274223 + ... + 4508769.

It is an arithmetic number, because the mean of its divisors is an integer number (22718905650).

Almost surely, 21030012212312 is an apocalyptic number.

1030012212312 is a gapful number since it is divisible by the number (12) 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 1030012212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454009961600).

1030012212312 is an abundant number, since it is smaller than the sum of its proper divisors (1878007710888).

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

1030012212312 is an equidigital number, since it uses as much as digits as its factorization.

1030012212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234825 (or 234803 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030012212312 its reverse (2132122100301), we get a palindrome (3162134312613).

The spelling of 1030012212312 in words is "one trillion, thirty billion, twelve million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 648 729 753 972 1004 1458 1506 1944 2008 2187 2259 2916 3012 4374 4518 5832 6024 6777 8748 9036 13554 17496 18072 20331 27108 40662 54216 60993 81324 121986 162648 182979 234547 243972 365958 469094 487944 548937 703641 731916 938188 1097874 1407282 1463832 1876376 2110923 2195748 2814564 4221846 4391496 5629128 6332769 8443692 12665538 16887384 18998307 25331076 37996614 50662152 56994921 58871297 75993228 113989842 117742594 151986456 170984763 176613891 227979684 235485188 341969526 353227782 455959368 470970376 512954289 529841673 683939052 706455564 1025908578 1059683346 1367878104 1412911128 1589525019 2051817156 2119366692 3179050038 4103634312 4238733384 4768575057 6358100076 9537150114 12716200152 14305725171 19074300228 28611450342 38148600456 42917175513 57222900684 85834351026 114445801368 128751526539 171668702052 257503053078 343337404104 515006106156 1030012212312