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10011100100100 = 22352115415607517
BaseRepresentation
bin1001000110101110010000…
…0100001011011000000100
31022110001101210000202120220
42101223210010023120010
52303010213111200400
633143011430424340
72052164251550211
oct221534404133004
938401353022526
1010011100100100
11320a758021570
1211582752020b0
13578072a300a8
1426877b418b08
151256296a67a0
hex91ae410b604

10011100100100 has 144 divisors (see below), whose sum is σ = 31657085858496. Its totient is φ = 2422446912000.

The previous prime is 10011100100087. The next prime is 10011100100101. The reversal of 10011100100100 is 100100111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10011100100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018459 + ... + 4589058.

Almost surely, 210011100100100 is an apocalyptic number.

10011100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15828542929248).

10011100100100 is an abundant number, since it is smaller than the sum of its proper divisors (21645985758396).

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

10011100100100 is a wasteful number, since it uses less digits than its factorization.

10011100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608086 (or 5608079 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10011100100100 its reverse (100100111001), we get a palindrome (10111200211101).

The spelling of 10011100100100 in words is "ten trillion, eleven billion, one hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 541 550 660 825 1082 1100 1623 1650 2164 2705 3246 3300 5410 5951 6492 8115 10820 11902 13525 16230 17853 23804 27050 29755 32460 35706 40575 54100 59510 71412 81150 89265 119020 148775 162300 178530 297550 357060 446325 595100 892650 1785300 5607517 11215034 16822551 22430068 28037585 33645102 56075170 61682687 67290204 84112755 112150340 123365374 140187925 168225510 185048061 246730748 280375850 308413435 336451020 370096122 420563775 560751700 616826870 740192244 841127550 925240305 1233653740 1542067175 1682255100 1850480610 3033666697 3084134350 3700961220 4626201525 6067333394 6168268700 9101000091 9252403050 12134666788 15168333485 18202000182 18504806100 30336666970 33370333667 36404000364 45505000455 60673333940 66740667334 75841667425 91010000910 100111001001 133481334668 151683334850 166851668335 182020001820 200222002002 227525002275 303366669700 333703336670 400444004004 455050004550 500555005005 667406673340 834258341675 910100009100 1001110010010 1668516683350 2002220020020 2502775025025 3337033366700 5005550050050 10011100100100