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1001001222130 = 25761365449
BaseRepresentation
bin11101001000100000101…
…00100111111111110010
310112200202111101210001011
432210100110213333302
5112400022303102010
62043504214101134
7132214513000000
oct16442024477762
93480674353034
101001001222130
113565821039a8
1214200134a7aa
1373517843080
143663d3d1a70
151b0895d9a8a
hexe910527ff2

1001001222130 has 112 divisors (see below), whose sum is σ = 2263834603800. Its totient is φ = 316795546368.

The previous prime is 1001001222077. The next prime is 1001001222181. The reversal of 1001001222130 is 312221001001.

It can be written as a sum of positive squares in 4 ways, for example, as 696421961361 + 304579260769 = 834519^2 + 551887^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1001001222130.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15261646 + ... + 15327094.

Almost surely, 21001001222130 is an apocalyptic number.

1001001222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001001222130 is an abundant number, since it is smaller than the sum of its proper divisors (1262833381670).

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

1001001222130 is an frugal number, since it uses more digits than its factorization.

1001001222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65511 (or 65476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001001222130 its reverse (312221001001), we get a palindrome (1313222223131).

The spelling of 1001001222130 in words is "one trillion, one billion, one million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 343 455 490 637 686 910 1274 1715 2401 3185 3430 4459 4802 6370 8918 12005 16807 22295 24010 31213 33614 44590 62426 65449 84035 117649 130898 156065 168070 218491 235298 312130 327245 436982 458143 588245 654490 850837 916286 1092455 1176490 1529437 1701674 2184910 2290715 3058874 3207001 4254185 4581430 5955859 6414002 7647185 8508370 11911718 15294370 16035005 22449007 29779295 32070010 41691013 44898014 59558590 83382026 112245035 157143049 208455065 224490070 291837091 314286098 416910130 583674182 785715245 1100001343 1459185455 1571430490 2042859637 2200002686 2918370910 4085719274 5500006715 7700009401 10214298185 11000013430 14300017459 15400018802 20428596370 28600034918 38500047005 71500087295 77000094010 100100122213 143000174590 200200244426 500500611065 1001001222130