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1020222211221 = 34291367931751
BaseRepresentation
bin11101101100010011111…
…10111000010010010101
310121112101001002012020000
432312021332320102111
5113203403341224341
62100403354401513
7133465025466033
oct16661176702225
93545331065200
101020222211221
11363745928554
12145886430299
137528ba064b5
1437544053553
151b811c778b6
hexed89fb8495

1020222211221 has 40 divisors (see below), whose sum is σ = 1576753516800. Its totient is φ = 656626068000.

The previous prime is 1020222211201. The next prime is 1020222211231. The reversal of 1020222211221 is 1221122220201.

It is a happy number.

1020222211221 is a `hidden beast` number, since 10 + 2 + 0 + 222 + 211 + 221 = 666.

It is not a de Polignac number, because 1020222211221 - 213 = 1020222203029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020222211194 and 1020222211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020222211201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32116096 + ... + 32147846.

It is an arithmetic number, because the mean of its divisors is an integer number (39418837920).

Almost surely, 21020222211221 is an apocalyptic number.

It is an amenable number.

1020222211221 is a deficient number, since it is larger than the sum of its proper divisors (556531305579).

1020222211221 is a wasteful number, since it uses less digits than its factorization.

1020222211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45471 (or 45462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1020222211221 its reverse (1221122220201), we get a palindrome (2241344431422).

The spelling of 1020222211221 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 261 783 2349 13679 31751 41037 95253 123111 285759 369333 396691 857277 920779 1107999 1190073 2571831 2762337 3570219 8287011 10710657 24861033 32131971 74583099 434321929 1302965787 3908897361 11726692083 12595335941 35180076249 37786007823 113358023469 340074070407 1020222211221