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1102003231120 = 245112251453559
BaseRepresentation
bin10000000010010100100…
…000101101100110010000
310220100110111111110012221
4100002110200231212100
5121023400311343440
62202130413430424
7142421444624341
oct20022440554620
93810414443187
101102003231120
113953a2105200
121596aa79b414
137cbc2b1422c
143b4a15640c8
151d9eb7a0d4a
hex1009482d990

1102003231120 has 120 divisors (see below), whose sum is σ = 2827482154560. Its totient is φ = 399131040000.

The previous prime is 1102003231111. The next prime is 1102003231127. The reversal of 1102003231120 is 211323002011.

It is a super-2 number, since 2×11020032311202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1102003231094 and 1102003231103.

It is not an unprimeable number, because it can be changed into a prime (1102003231127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2202901 + ... + 2656459.

It is an arithmetic number, because the mean of its divisors is an integer number (23562351288).

Almost surely, 21102003231120 is an apocalyptic number.

1102003231120 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 1102003231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413741077280).

1102003231120 is an abundant number, since it is smaller than the sum of its proper divisors (1725478923440).

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

1102003231120 is a wasteful number, since it uses less digits than its factorization.

1102003231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453845 (or 453828 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1102003231120 its reverse (211323002011), we get a palindrome (1313326233131).

The spelling of 1102003231120 in words is "one trillion, one hundred two billion, three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 251 440 484 502 605 880 968 1004 1210 1255 1936 2008 2420 2510 2761 4016 4840 5020 5522 9680 10040 11044 13805 20080 22088 27610 30371 44176 55220 60742 110440 121484 151855 220880 242968 303710 453559 485936 607420 907118 1214840 1814236 2267795 2429680 3628472 4535590 4989149 7256944 9071180 9978298 18142360 19956596 24945745 36284720 39913192 49891490 54880639 79826384 99782980 109761278 113843309 199565960 219522556 227686618 274403195 399131920 439045112 455373236 548806390 569216545 878090224 910746472 1097612780 1138433090 1252276399 1821492944 2195225560 2276866180 2504552798 4390451120 4553732360 5009105596 6261381995 9107464720 10018211192 12522763990 13775040389 20036422384 25045527980 27550080778 50091055960 55100161556 68875201945 100182111920 110200323112 137750403890 220400646224 275500807780 551001615560 1102003231120