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110202111121120 = 25529107221966869
BaseRepresentation
bin11001000011101001101101…
…101011111101011011100000
3112110012012220121021112100121
4121003221231223331123200
5103421022410421333440
61030214052334330024
732132561021636614
oct3103515553753340
9473165817245317
10110202111121120
11321284a8845997
1210439aa8059914
134965025aa3415
141d2db4c565344
15cb192319934a
hex643a6dafd6e0

110202111121120 has 96 divisors (see below), whose sum is σ = 271847265026400. Its totient is φ = 42163050510336.

The previous prime is 110202111121079. The next prime is 110202111121163. The reversal of 110202111121120 is 21121111202011.

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 = 110202111121094 and 110202111121103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110486955 + ... + 111479914.

It is an arithmetic number, because the mean of its divisors is an integer number (2831742344025).

Almost surely, 2110202111121120 is an apocalyptic number.

110202111121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202111121120 is an abundant number, since it is smaller than the sum of its proper divisors (161645153905280).

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

110202111121120 is a wasteful number, since it uses less digits than its factorization.

110202111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221967020 (or 221967012 counting only the distinct ones).

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

Adding to 110202111121120 its reverse (21121111202011), we get a palindrome (131323222323131).

The spelling of 110202111121120 in words is "one hundred ten trillion, two hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 107 116 145 160 214 232 290 428 464 535 580 856 928 1070 1160 1712 2140 2320 3103 3424 4280 4640 6206 8560 12412 15515 17120 24824 31030 49648 62060 99296 124120 248240 496480 221966869 443933738 887867476 1109834345 1775734952 2219668690 3551469904 4439337380 6437039201 7102939808 8878674760 12874078402 17757349520 23750454983 25748156804 32185196005 35514699040 47500909966 51496313608 64370392010 95001819932 102992627216 118752274915 128740784020 190003639864 205985254432 237504549830 257481568040 380007279728 475009099660 514963136080 688763194507 760014559456 950018199320 1029926272160 1377526389014 1900036398640 2755052778028 3443815972535 3800072797280 5510105556056 6887631945070 11020211112112 13775263890140 22040422224224 27550527780280 55101055560560 110202111121120