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1001220102210 = 2351725135322157
BaseRepresentation
bin11101001000111010101…
…11100101100001000010
310112201022202021001001210
432210131113211201002
5112400444321232320
62043542033310550
7132223111310226
oct16443527454102
93481282231053
101001220102210
11356684711829
12142062705456
1373550caab03
14366604ca786
151b09d9230e0
hexe91d5e5842

1001220102210 has 128 divisors (see below), whose sum is σ = 2561765439744. Its totient is φ = 249565184000.

The previous prime is 1001220102209. The next prime is 1001220102229. The reversal of 1001220102210 is 122010221001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45176452 + ... + 45198608.

It is an arithmetic number, because the mean of its divisors is an integer number (20013792498).

Almost surely, 21001220102210 is an apocalyptic number.

1001220102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001220102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280882719872).

1001220102210 is an abundant number, since it is smaller than the sum of its proper divisors (1560545337534).

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

1001220102210 is a wasteful number, since it uses less digits than its factorization.

1001220102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22788.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001220102210 its reverse (122010221001), we get a palindrome (1123230323211).

The spelling of 1001220102210 in words is "one trillion, one billion, two hundred twenty million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 251 255 353 502 510 706 753 1059 1255 1506 1765 2118 2510 3530 3765 4267 5295 6001 7530 8534 10590 12002 12801 18003 21335 22157 25602 30005 36006 42670 44314 60010 64005 66471 88603 90015 110785 128010 132942 177206 180030 221570 265809 332355 376669 443015 531618 664710 753338 886030 1130007 1329045 1506251 1883345 2260014 2658090 3012502 3766690 4518753 5561407 5650035 7531255 7821421 9037506 11122814 11300070 15062510 15642842 16684221 22593765 23464263 27807035 33368442 39107105 45187530 46928526 55614070 78214210 83421105 94543919 117321315 132964157 166842210 189087838 234642630 265928314 283631757 398892471 472719595 567263514 664820785 797784942 945439190 1329641570 1418158785 1963176671 1994462355 2836317570 3926353342 3988924710 5889530013 9815883355 11779060026 19631766710 29447650065 33374003407 58895300130 66748006814 100122010221 166870017035 200244020442 333740034070 500610051105 1001220102210