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3101301021144 = 23317311931270471
BaseRepresentation
bin101101001000010011111…
…100100001100111011000
3101222111000000000100012010
4231020103330201213120
5401302431030134034
610332415031545520
7440030062505124
oct55102374414730
911874000010163
103101301021144
11a96288637267
1242107752b2a0
131965b3a44331
14aa164a62584
1555a12cc13e9
hex2d213f219d8

3101301021144 has 128 divisors (see below), whose sum is σ = 8518057390080. Its totient is φ = 936692121600.

The previous prime is 3101301021101. The next prime is 3101301021157. The reversal of 3101301021144 is 4411201031013.

It is a self number, because there is not a number n which added to its sum of digits gives 3101301021144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805829 + ... + 3076299.

It is an arithmetic number, because the mean of its divisors is an integer number (66547323360).

Almost surely, 23101301021144 is an apocalyptic number.

3101301021144 is a gapful number since it is divisible by the number (34) 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 3101301021144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259028695040).

3101301021144 is an abundant number, since it is smaller than the sum of its proper divisors (5416756368936).

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

3101301021144 is a wasteful number, since it uses less digits than its factorization.

3101301021144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270721 (or 1270717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 3101301021144 its reverse (4411201031013), we get a palindrome (7512502052157).

The spelling of 3101301021144 in words is "three trillion, one hundred one billion, three hundred one million, twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 193 204 248 372 386 408 527 579 744 772 1054 1158 1544 1581 2108 2316 3162 3281 4216 4632 5983 6324 6562 9843 11966 12648 13124 17949 19686 23932 26248 35898 39372 47864 71796 78744 101711 143592 203422 305133 406844 610266 813688 1220532 1270471 2441064 2540942 3811413 5081884 7622826 10163768 15245652 21598007 30491304 39384601 43196014 64794021 78769202 86392028 118153803 129588042 157538404 172784056 236307606 245200903 259176084 315076808 472615212 490401806 518352168 669538217 735602709 945230424 980803612 1339076434 1471205418 1961607224 2008614651 2678152868 2942410836 4017229302 4168415351 5356305736 5884821672 7601227993 8034458604 8336830702 12505246053 15202455986 16068917208 16673661404 22803683979 25010492106 30404911972 33347322808 45607367958 50020984212 60809823944 91214735916 100041968424 129220875881 182429471832 258441751762 387662627643 516883503524 775325255286 1033767007048 1550650510572 3101301021144