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2002322201100 = 22352131673074347
BaseRepresentation
bin11101001000110011101…
…101000001101000001100
321002102100021110220000020
4131020303231001220030
5230301223440413400
64131504253502140
7264443260613454
oct35106355015014
97072307426006
102002322201100
117021a8755951
122840917a1950
13116a836b0770
146ccad05ad64
1537141cd72a0
hex1d233b41a0c

2002322201100 has 144 divisors (see below), whose sum is σ = 6276392118528. Its totient is φ = 489927778560.

The previous prime is 2002322201071. The next prime is 2002322201141. The reversal of 2002322201100 is 11022232002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002322201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885874 + ... + 2188473.

Almost surely, 22002322201100 is an apocalyptic number.

2002322201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002322201100 is an abundant number, since it is smaller than the sum of its proper divisors (4274069917428).

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

2002322201100 is a wasteful number, since it uses less digits than its factorization.

2002322201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074544 (or 3074537 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2002322201100 its reverse (11022232002), we get a palindrome (2013344433102).

The spelling of 2002322201100 in words is "two trillion, two billion, three hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 167 195 260 300 325 334 390 501 650 668 780 835 975 1002 1300 1670 1950 2004 2171 2505 3340 3900 4175 4342 5010 6513 8350 8684 10020 10855 12525 13026 16700 21710 25050 26052 32565 43420 50100 54275 65130 108550 130260 162825 217100 325650 651300 3074347 6148694 9223041 12297388 15371735 18446082 30743470 36892164 39966511 46115205 61486940 76858675 79933022 92230410 119899533 153717350 159866044 184460820 199832555 230576025 239799066 307434700 399665110 461152050 479598132 513415949 599497665 799330220 922304100 999162775 1026831898 1198995330 1540247847 1998325550 2053663796 2397990660 2567079745 2997488325 3080495694 3996651100 5134159490 5994976650 6160991388 6674407337 7701239235 10268318980 11989953300 12835398725 13348814674 15402478470 20023222011 25670797450 26697629348 30804956940 33372036685 38506196175 40046444022 51341594900 66744073370 77012392350 80092888044 100116110055 133488146740 154024784700 166860183425 200232220110 333720366850 400464440220 500580550275 667440733700 1001161100550 2002322201100