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102022211002221 = 32738314471292953
BaseRepresentation
bin10111001100100111100101…
…101001010101111101101101
3111101020020011022002012100200
4113030213211221111331231
5101333012442004032341
61000552205014344113
730326601332065656
oct2714474551257555
9441206138065320
10102022211002221
112a564416440744
12b53870805b039
1344c0865169383
141b29c8948a52d
15bbdc726a9db6
hex5cc9e5a55f6d

102022211002221 has 48 divisors (see below), whose sum is σ = 151288526852736. Its totient is φ = 66229014763008.

The previous prime is 102022211002219. The next prime is 102022211002237. The reversal of 102022211002221 is 122200112220201.

It is a happy number.

102022211002221 is a `hidden beast` number, since 10 + 202 + 221 + 10 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 102022211002221 - 21 = 102022211002219 is a prime.

It is a super-2 number, since 2×1020222110022212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022211002194 and 102022211002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022211002721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78259881 + ... + 79552833.

It is an arithmetic number, because the mean of its divisors is an integer number (3151844309432).

Almost surely, 2102022211002221 is an apocalyptic number.

It is an amenable number.

102022211002221 is a deficient number, since it is larger than the sum of its proper divisors (49266315850515).

102022211002221 is a wasteful number, since it uses less digits than its factorization.

102022211002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294562 (or 1294559 counting only the distinct ones).

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

Adding to 102022211002221 its reverse (122200112220201), we get a palindrome (224222323222422).

The spelling of 102022211002221 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, two thousand, two hundred twenty-one".

Divisors: 1 3 9 73 83 219 249 657 747 1447 4341 6059 13023 18177 54531 105631 120101 316893 360303 950679 1080909 1292953 3878859 8767373 11636577 26302119 78906357 94385569 107315099 283156707 321945297 849470121 965835891 1870902991 5612708973 7834002227 16838126919 23502006681 70506020043 136575918343 155284948253 409727755029 465854844759 1229183265087 1397564534277 11335801222469 34007403667407 102022211002221