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3013101104420 = 22511231199201829
BaseRepresentation
bin101011110110001010110…
…100100010110100100100
3101200001100012022100002202
4223312022310202310210
5343331312340320140
610224111033354032
7430455311543561
oct53661264426444
911601305270082
103013101104420
11a61938027400
12407b61568918
1318b198b40cb4
14a5b98c5d868
155359e9b7915
hex2bd8ad22d24

3013101104420 has 144 divisors (see below), whose sum is σ = 7215503232000. Its totient is φ = 1054995321600.

The previous prime is 3013101104393. The next prime is 3013101104537. The reversal of 3013101104420 is 244011013103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3013101104392 and 3013101104401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14828066 + ... + 15029894.

Almost surely, 23013101104420 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 3013101104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607751616000).

3013101104420 is an abundant number, since it is smaller than the sum of its proper divisors (4202402127580).

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

3013101104420 is a wasteful number, since it uses less digits than its factorization.

3013101104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202090 (or 202077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3013101104420 its reverse (244011013103), we get a palindrome (3257112117523).

The spelling of 3013101104420 in words is "three trillion, thirteen billion, one hundred one million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 199 220 242 310 341 398 484 605 620 682 796 995 1210 1364 1705 1990 2189 2420 3410 3751 3980 4378 6169 6820 7502 8756 10945 12338 15004 18755 21890 24079 24676 30845 37510 43780 48158 61690 67859 75020 96316 120395 123380 135718 201829 240790 271436 339295 403658 481580 678590 746449 807316 1009145 1357180 1492898 2018290 2220119 2985796 3732245 4036580 4440238 6256699 7464490 8880476 11100595 12513398 14928980 22201190 24421309 25026796 31283495 40163971 44402380 48842618 62566990 68823689 80327942 97685236 122106545 125133980 137647378 160655884 200819855 244213090 275294756 344118445 401639710 441803681 488426180 688236890 757060579 803279420 883607362 1245083101 1376473780 1514121158 1767214724 2209018405 2490166202 3028242316 3785302895 4418036810 4859840491 4980332404 6225415505 7570605790 8836073620 9719680982 12450831010 13695914111 15141211580 19439361964 24299202455 24901662020 27391828222 48598404910 54783656444 68479570555 97196809820 136959141110 150655055221 273918282220 301310110442 602620220884 753275276105 1506550552210 3013101104420