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1020010002220 = 225115387479417
BaseRepresentation
bin11101101011111010101…
…01010111011100101100
310121111211020202212012101
432311331111113130230
5113202440030032340
62100330334144444
7133456540651636
oct16657525273454
93544736685171
101020010002220
11363647066810
12145827352124
1375256a66041
1437523bb3a56
151b7ed30ac9a
hexed7d55772c

1020010002220 has 48 divisors (see below), whose sum is σ = 2380839840288. Its totient is φ = 363914370560.

The previous prime is 1020010002181. The next prime is 1020010002223. The reversal of 1020010002220 is 222000100201.

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 = 1020010002197 and 1020010002206.

It is not an unprimeable number, because it can be changed into a prime (1020010002223) 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, 43728049 + ... + 43751368.

It is an arithmetic number, because the mean of its divisors is an integer number (49600830006).

Almost surely, 21020010002220 is an apocalyptic number.

1020010002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020010002220 is an abundant number, since it is smaller than the sum of its proper divisors (1360829838068).

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

1020010002220 is a wasteful number, since it uses less digits than its factorization.

1020010002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87479490 (or 87479488 counting only the distinct ones).

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

Adding to 1020010002220 its reverse (222000100201), we get a palindrome (1242010102421).

The spelling of 1020010002220 in words is "one trillion, twenty billion, ten million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 87479417 174958834 349917668 437397085 874794170 962273587 1749588340 1924547174 3849094348 4636409101 4811367935 9272818202 9622735870 18545636404 19245471740 23182045505 46364091010 51000500111 92728182020 102001000222 204002000444 255002500555 510005001110 1020010002220