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100202013103322 = 21323728128513577
BaseRepresentation
bin10110110010001000011001…
…011001011001010011011010
3111010210012220120121110101102
4112302020121121121103122
5101113202210323301242
6553040100324351402
730051233203164164
oct2662103131312332
9433705816543342
10100202013103322
1129a22487154729
12b2a39a3545562
1343bb017549700
141aa5b363dd934
15b8b73e843e32
hex5b22196594da

100202013103322 has 48 divisors (see below), whose sum is σ = 167747774514552. Its totient is φ = 44837027988480.

The previous prime is 100202013103253. The next prime is 100202013103343. The reversal of 100202013103322 is 223301310202001.

It can be written as a sum of positive squares in 12 ways, for example, as 7823214594001 + 92378798509321 = 2797001^2 + 9611389^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100202013103294 and 100202013103303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10742603 + ... + 17770974.

Almost surely, 2100202013103322 is an apocalyptic number.

100202013103322 is a deficient number, since it is larger than the sum of its proper divisors (67545761411230).

100202013103322 is a wasteful number, since it uses less digits than its factorization.

100202013103322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28513923 (or 28513910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100202013103322 its reverse (223301310202001), we get a palindrome (323503323305323).

The spelling of 100202013103322 in words is "one hundred trillion, two hundred two billion, thirteen million, one hundred three thousand, three hundred twenty-two".

Divisors: 1 2 13 26 37 74 169 281 338 481 562 962 3653 6253 7306 10397 12506 20794 47489 94978 135161 270322 1757093 3514186 28513577 57027154 370676501 741353002 1055002349 2110004698 4818794513 8012315137 9637589026 13715030537 16024630274 27430061074 104160096781 178295396981 208320193562 296455660069 356590793962 592911320138 1354081258153 2708162516306 3853923580897 7707847161794 50101006551661 100202013103322