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1100992181040 = 243256722823221
BaseRepresentation
bin10000000001011000001…
…111110111001100110000
310220020212001000210020200
4100001120033313030300
5121014312444243130
62201442215235200
7142354420061433
oct20013017671460
93806761023220
101100992181040
11394a23424324
12159468078b00
137ca9150854b
143b40717b81a
151d98cb3a760
hex100583f7330

1100992181040 has 120 divisors (see below), whose sum is σ = 3752685454128. Its totient is φ = 289215843840.

The previous prime is 1100992181039. The next prime is 1100992181063. The reversal of 1100992181040 is 401812990011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11009921810402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1100992180986 and 1100992181004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11363371 + ... + 11459850.

Almost surely, 21100992181040 is an apocalyptic number.

1100992181040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100992181040 is an abundant number, since it is smaller than the sum of its proper divisors (2651693273088).

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

1100992181040 is a wasteful number, since it uses less digits than its factorization.

1100992181040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823307 (or 22823298 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 1100992181040 in words is "one trillion, one hundred billion, nine hundred ninety-two million, one hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240 22823221 45646442 68469663 91292884 114116105 136939326 182585768 205408989 228232210 273878652 342348315 365171536 410817978 456464420 547757304 684696630 821635956 912928840 1027044945 1095514608 1369393260 1529155807 1643271912 1825857680 2054089890 2738786520 3058311614 3286543824 4108179780 4587467421 5477573040 6116623228 7645779035 8216359560 9174934842 12233246456 13762402263 15291558070 16432719120 18349869684 22937337105 24466492912 27524804526 30583116140 36699739368 45874674210 55049609052 61166232280 68812011315 73399478736 91749348420 110099218104 122332464560 137624022630 183498696840 220198436208 275248045260 366997393680 550496090520 1100992181040