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1031412203224 = 2313175329337567
BaseRepresentation
bin11110000001001001111…
…01010011111011011000
310122121020220000200111021
433000210331103323120
5113344313011000344
62105454011012224
7134342233034314
oct17004475237330
93577226020437
101031412203224
11368468333127
12147a89a3a074
13763530c2a40
1437cc625cb44
151bc69345b84
hexf024f53ed8

1031412203224 has 128 divisors (see below), whose sum is σ = 2254503767040. Its totient is φ = 438068846592.

The previous prime is 1031412203221. The next prime is 1031412203273. The reversal of 1031412203224 is 4223022141301.

It is a super-2 number, since 2×10314122032242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031412203221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27436489 + ... + 27474055.

It is an arithmetic number, because the mean of its divisors is an integer number (17613310680).

Almost surely, 21031412203224 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 1031412203224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127251883520).

1031412203224 is an abundant number, since it is smaller than the sum of its proper divisors (1223091563816).

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

1031412203224 is a wasteful number, since it uses less digits than its factorization.

1031412203224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37949 (or 37945 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1031412203224 its reverse (4223022141301), we get a palindrome (5254434344525).

The spelling of 1031412203224 in words is "one trillion, thirty-one billion, four hundred twelve million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 53 68 104 106 136 212 221 293 424 442 586 689 884 901 1172 1378 1768 1802 2344 2756 3604 3809 4981 5512 7208 7618 9962 11713 15236 15529 19924 23426 30472 31058 37567 39848 46852 62116 64753 75134 93704 124232 129506 150268 201877 259012 263993 300536 403754 488371 518024 527986 638639 807508 976742 1055972 1277278 1615016 1953484 1991051 2111944 2554556 3431909 3906968 3982102 5109112 6863818 7964204 8302307 11007131 13727636 15928408 16604614 22014262 25883663 27455272 33209228 33847867 44028524 51767326 66418456 67695734 88057048 103534652 135391468 143092703 187121227 207069304 270782936 286185406 374242454 440022271 572370812 583377943 748484908 880044542 1144741624 1166755886 1496969816 1760089084 2333511772 2432575951 3520178168 4667023544 4865151902 7583913259 9730303804 9917425031 15167826518 19460607608 19834850062 30335653036 39669700124 60671306072 79339400248 128926525403 257853050806 515706101612 1031412203224