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102022102310224 = 2453586920499077
BaseRepresentation
bin10111001100100111011111…
…001010101101110101010000
3111101020012212201120001222011
4113030213133022231311100
5101333012231142411344
61000552150132552304
730326565542162455
oct2714473712556520
9441205781501864
10102022102310224
112a564370052848
12b538697782694
1344c08487a1495
141b29c78c7582c
15bbdc67d89d34
hex5cc9df2add50

102022102310224 has 40 divisors (see below), whose sum is σ = 201431730077640. Its totient is φ = 50040048434688.

The previous prime is 102022102310197. The next prime is 102022102310251. The reversal of 102022102310224 is 422013201220201.

It is an interprime number because it is at equal distance from previous prime (102022102310197) and next prime (102022102310251).

It can be written as a sum of positive squares in 4 ways, for example, as 4055261557824 + 97966840752400 = 2013768^2 + 9897820^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102022102310195 and 102022102310204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5272627 + ... + 15226450.

It is an arithmetic number, because the mean of its divisors is an integer number (5035793251941).

Almost surely, 2102022102310224 is an apocalyptic number.

It is an amenable number.

102022102310224 is a deficient number, since it is larger than the sum of its proper divisors (99409627767416).

102022102310224 is a wasteful number, since it uses less digits than its factorization.

102022102310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20505007 (or 20505001 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102022102310224 its reverse (422013201220201), we get a palindrome (524035303530425).

The spelling of 102022102310224 in words is "one hundred two trillion, twenty-two billion, one hundred two million, three hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 53 106 212 424 848 5869 11738 23476 46952 93904 311057 622114 1244228 2488456 4976912 20499077 40998154 81996308 163992616 327985232 1086451081 2172902162 4345804324 8691608648 17383217296 120309082913 240618165826 481236331652 962472663304 1924945326608 6376381394389 12752762788778 25505525577556 51011051155112 102022102310224