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11120021000010 = 23351325112621901
BaseRepresentation
bin1010000111010001010011…
…1001101100111101001010
31110101001201101100012102000
42201310110321230331022
52424142300334000020
635352244522051430
72225252325641256
oct241642471547512
943331641305360
1011120021000010
1135a7a79a5770a
1212b7174649b76
136287c8a81a60
142a62d75c7266
151443cd40c090
hexa1d14e6cf4a

11120021000010 has 128 divisors (see below), whose sum is σ = 32061650584320. Its totient is φ = 2726330400000.

The previous prime is 11120020999951. The next prime is 11120021000093. The reversal of 11120021000010 is 1000012002111.

It is a happy number.

11120021000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11120020999956 and 11120021000001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5429941 + ... + 7191960.

It is an arithmetic number, because the mean of its divisors is an integer number (250481645190).

Almost surely, 211120021000010 is an apocalyptic number.

11120021000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11120021000010 is an abundant number, since it is smaller than the sum of its proper divisors (20941629584310).

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

11120021000010 is a wasteful number, since it uses less digits than its factorization.

11120021000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12622181 (or 12622175 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120021000010 its reverse (1000012002111), we get a palindrome (12120033002121).

The spelling of 11120021000010 in words is "eleven trillion, one hundred twenty billion, twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 251 270 351 390 502 585 702 753 1170 1255 1506 1755 2259 2510 3263 3510 3765 4518 6526 6777 7530 9789 11295 13554 16315 19578 22590 29367 32630 33885 48945 58734 67770 88101 97890 146835 176202 293670 440505 881010 12621901 25243802 37865703 63109505 75731406 113597109 126219010 164084713 189328515 227194218 328169426 340791327 378657030 492254139 567985545 681582654 820423565 984508278 1135971090 1476762417 1640847130 1703956635 2461270695 2953524834 3168097151 3407913270 4430287251 4922541390 6336194302 7383812085 8860574502 9504291453 14767624170 15840485755 19008582906 22151436255 28512874359 31680971510 41185262963 44302872510 47521457265 57025748718 82370525926 85538623077 95042914530 123555788889 142564371795 171077246154 205926314815 247111577778 285128743590 370667366667 411852629630 427693115385 617778944445 741334733334 855386230770 1112002100001 1235557888890 1853336833335 2224004200002 3706673666670 5560010500005 11120021000010