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1020020002221 = 311173739241771
BaseRepresentation
bin11101101011111011110…
…11100000110110101101
310121111211221120220121210
432311331323200312231
5113203000110032341
62100331332345033
7133460021651313
oct16657573406655
93544757526553
101020020002221
11363651776980
1214582a775179
1375258b578bc
14375252580b3
151b7ee133c16
hexed7dee0dad

1020020002221 has 32 divisors (see below), whose sum is σ = 1494267010560. Its totient is φ = 613786334400.

The previous prime is 1020020002213. The next prime is 1020020002277. The reversal of 1020020002221 is 1222000200201.

It is not a de Polignac number, because 1020020002221 - 23 = 1020020002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020020002197 and 1020020002206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020002201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4098066 + ... + 4339836.

It is an arithmetic number, because the mean of its divisors is an integer number (46695844080).

Almost surely, 21020020002221 is an apocalyptic number.

1020020002221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020020002221 is a deficient number, since it is larger than the sum of its proper divisors (474247008339).

1020020002221 is a wasteful number, since it uses less digits than its factorization.

1020020002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242697.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1020020002221 its reverse (1222000200201), we get a palindrome (2242020202422).

The spelling of 1020020002221 in words is "one trillion, twenty billion, twenty million, two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 173 519 739 1903 2217 5709 8129 24387 127847 241771 383541 725313 1406317 2659481 4218951 7978443 41826383 125479149 178668769 460090213 536006307 1380270639 1965356459 5896069377 30909697037 92729091111 340006667407 1020020002221