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1020001002220 = 225435920102503
BaseRepresentation
bin11101101011111001100…
…11000010001011101100
310121111210121211121112001
432311330303002023230
5113202430224032340
62100325413222044
7133456401315604
oct16657463021354
93544717747461
101020001002220
11363641a799a2
12145824331924
1375254c346b5
143752290dc04
151b7ec62e29a
hexed7ccc22ec

1020001002220 has 48 divisors (see below), whose sum is σ = 2228965643520. Its totient is φ = 391757558976.

The previous prime is 1020001002217. The next prime is 1020001002221. The reversal of 1020001002220 is 222001000201.

It is a super-3 number, since 3×10200010022203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020001002197 and 1020001002206.

It is not an unprimeable number, because it can be changed into a prime (1020001002221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10000512 + ... + 10101991.

It is an arithmetic number, because the mean of its divisors is an integer number (46436784240).

Almost surely, 21020001002220 is an apocalyptic number.

1020001002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020001002220 is an abundant number, since it is smaller than the sum of its proper divisors (1208964641300).

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

1020001002220 is a wasteful number, since it uses less digits than its factorization.

1020001002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20102614 (or 20102612 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020001002220 its reverse (222001000201), we get a palindrome (1242002002421).

The spelling of 1020001002220 in words is "one trillion, twenty billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 5074 10148 12685 25370 50740 20102503 40205006 80410012 100512515 201025030 402050060 864407629 1186047677 1728815258 2372095354 3457630516 4322038145 4744190708 5930238385 8644076290 11860476770 17288152580 23720953540 51000050111 102000100222 204000200444 255000250555 510000501110 1020001002220