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1001130201300 = 2235222388716871
BaseRepresentation
bin11101001000110000000…
…00101001000011010100
310112201002111002121012110
432210120000221003110
5112400303312420200
62043525102351020
7132220640206365
oct16443000510324
93481074077173
101001130201300
11356638998959
1214203858b470
1373538491cc8
14366525a7b6c
151b095ab5b50
hexe9180290d4

1001130201300 has 144 divisors (see below), whose sum is σ = 2913045553152. Its totient is φ = 265455523200.

The previous prime is 1001130201277. The next prime is 1001130201301. The reversal of 1001130201300 is 31020311001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001130201301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59331865 + ... + 59348735.

It is an arithmetic number, because the mean of its divisors is an integer number (20229483008).

Almost surely, 21001130201300 is an apocalyptic number.

1001130201300 is a gapful number since it is divisible by the number (10) 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 1001130201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456522776576).

1001130201300 is an abundant number, since it is smaller than the sum of its proper divisors (1911915351852).

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

1001130201300 is a wasteful number, since it uses less digits than its factorization.

1001130201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17998 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001130201300 its reverse (31020311001), we get a palindrome (1032150512301).

The spelling of 1001130201300 in words is "one trillion, one billion, one hundred thirty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 887 892 1115 1338 1774 2230 2661 2676 3345 3548 4435 4460 5322 5575 6690 8870 10644 11150 13305 13380 16725 16871 17740 22175 22300 26610 33450 33742 44350 50613 53220 66525 66900 67484 84355 88700 101226 133050 168710 197801 202452 253065 266100 337420 395602 421775 506130 593403 791204 843550 989005 1012260 1186806 1265325 1687100 1978010 2373612 2530650 2967015 3762233 3956020 4945025 5061300 5934030 7524466 9890050 11286699 11868060 14835075 14964577 15048932 18811165 19780100 22573398 29670150 29929154 37622330 44893731 45146796 56433495 59340300 59858308 74822885 75244660 89787462 94055825 112866990 149645770 179574924 188111650 224468655 225733980 282167475 299291540 374114425 376223300 448937310 564334950 748228850 897874620 1122343275 1128669900 1496457700 2244686550 3337100671 4489373100 6674201342 10011302013 13348402684 16685503355 20022604026 33371006710 40045208052 50056510065 66742013420 83427516775 100113020130 166855033550 200226040260 250282550325 333710067100 500565100650 1001130201300