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10102210222122 = 23237107141761531
BaseRepresentation
bin1001001100000001101010…
…1001101101100000101010
31022202202120101210111211200
42103000122221231200222
52311003311304101442
633252520304505030
72061601121035134
oct223003251554052
938682511714750
1010102210222122
113245361340777
121171a6191b176
135838328382b5
1426cd4192c054
15127bad21834c
hex9301aa6d82a

10102210222122 has 48 divisors (see below), whose sum is σ = 22689783765792. Its totient is φ = 3245771990880.

The previous prime is 10102210222103. The next prime is 10102210222129. The reversal of 10102210222122 is 22122201220101.

It is a happy number.

10102210222122 is a `hidden beast` number, since 10 + 102 + 210 + 222 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10102210222095 and 10102210222104.

It is not an unprimeable number, because it can be changed into a prime (10102210222129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70809504 + ... + 70952027.

It is an arithmetic number, because the mean of its divisors is an integer number (472703828454).

Almost surely, 210102210222122 is an apocalyptic number.

10102210222122 is an abundant number, since it is smaller than the sum of its proper divisors (12587573543670).

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

10102210222122 is a wasteful number, since it uses less digits than its factorization.

10102210222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141761683 (or 141761680 counting only the distinct ones).

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

Adding to 10102210222122 its reverse (22122201220101), we get a palindrome (32224411442223).

The spelling of 10102210222122 in words is "ten trillion, one hundred two billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 107 111 214 222 321 333 642 666 963 1926 3959 7918 11877 23754 35631 71262 141761531 283523062 425284593 850569186 1275853779 2551707558 5245176647 10490353294 15168483817 15735529941 30336967634 31471059882 45505451451 47206589823 91010902902 94413179646 136516354353 273032708706 561233901229 1122467802458 1683701703687 3367403407374 5051105111061 10102210222122