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10211121022102 = 27111335993141707
BaseRepresentation
bin1001010010010111011000…
…1111011100010010010110
31100011011200120200101200021
42110211312033130102112
52314244333440201402
633414531345135354
72102505045413260
oct224456617342226
940134616611607
1010211121022102
11328756a682780
12118ab9792a55a
13590b9b496240
142743141c4b30
1512a9348aed37
hex949763dc496

10211121022102 has 64 divisors (see below), whose sum is σ = 20565771416064. Its totient is φ = 3672203293440.

The previous prime is 10211121022097. The next prime is 10211121022139. The reversal of 10211121022102 is 20122012111201.

10211121022102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71987133 + ... + 72128839.

It is an arithmetic number, because the mean of its divisors is an integer number (321340178376).

Almost surely, 210211121022102 is an apocalyptic number.

10211121022102 is an abundant number, since it is smaller than the sum of its proper divisors (10354650393962).

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

10211121022102 is a wasteful number, since it uses less digits than its factorization.

10211121022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177733.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211121022102 its reverse (20122012111201), we get a palindrome (30333133133303).

The spelling of 10211121022102 in words is "ten trillion, two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 35993 71986 141707 251951 283414 395923 467909 503902 791846 935818 991949 1558777 1842191 1983898 2771461 3117554 3275363 3684382 5146999 5542922 6550726 10293998 10911439 12895337 20264101 21822878 25790674 36028993 40528202 72057986 141848707 283697414 5100460051 10200920102 35703220357 56105060561 66305980663 71406440714 112210121122 132611961326 392735423927 464141864641 729365787293 785470847854 928283729282 1458731574586 5105560511051 10211121022102