Search a number
-
+
10001000111100 = 22352193747420579
BaseRepresentation
bin1001000110001000101000…
…0011110001101111111100
31022102002022220010011100020
42101202022003301233330
52302324022012023400
633134221312532140
72051356051220145
oct221421203615774
938362286104306
1010001000111100
113206444923319
121156316851050
1357712340413b
1426809dca8acc
15125237b472a0
hex9188a0f1bfc

10001000111100 has 144 divisors (see below), whose sum is σ = 31282408214400. Its totient is φ = 2458282763520.

The previous prime is 10001000111087. The next prime is 10001000111149. The reversal of 10001000111100 is 111100010001.

Adding to 10001000111100 its reverse (111100010001), we get a palindrome (10112100121101).

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 a congruent number.

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, 23499390 + ... + 23921189.

Almost surely, 210001000111100 is an apocalyptic number.

10001000111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001000111100 is an abundant number, since it is smaller than the sum of its proper divisors (21281408103300).

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

10001000111100 is a wasteful number, since it uses less digits than its factorization.

10001000111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47420652 (or 47420645 counting only the distinct ones).

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

The spelling of 10001000111100 in words is "ten trillion, one billion, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 5550 5700 7030 8436 10545 11100 14060 17575 21090 35150 42180 52725 70300 105450 210900 47420579 94841158 142261737 189682316 237102895 284523474 474205790 569046948 711308685 900991001 948411580 1185514475 1422617370 1754561423 1801982002 2371028950 2702973003 2845234740 3509122846 3556543425 3603964004 4504955005 4742057900 5263684269 5405946006 7018245692 7113086850 8772807115 9009910010 10527368538 10811892012 13514865015 14226173700 17545614230 18019820020 21054737076 22524775025 26318421345 27029730030 33336667037 35091228460 43864035575 45049550050 52636842690 54059460060 66673334074 67574325075 87728071150 90099100100 100010001111 105273685380 131592106725 133346668148 135148650150 166683335185 175456142300 200020002222 263184213450 270297300300 333366670370 400040004444 500050005555 526368426900 666733340740 833416675925 1000100011110 1666833351850 2000200022220 2500250027775 3333666703700 5000500055550 10001000111100