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1131420414020 = 2251356920113803
BaseRepresentation
bin10000011101101101111…
…010010111000001000100
311000011101122010011211112
4100131231322113001010
5122014122111222040
62223433430024152
7144512436561101
oct20355572270104
94004348104745
101131420414020
113a6918367106
1216333a4a8058
1382900518830
143ca92419aa8
151e66e153365
hex1076de97044

1131420414020 has 96 divisors (see below), whose sum is σ = 2565196663680. Its totient is φ = 416704066560.

The previous prime is 1131420414001. The next prime is 1131420414067. The reversal of 1131420414020 is 204140241311.

It is a super-2 number, since 2×11314204140202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297505439 + ... + 297509241.

It is an arithmetic number, because the mean of its divisors is an integer number (26720798580).

Almost surely, 21131420414020 is an apocalyptic number.

1131420414020 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 1131420414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282598331840).

1131420414020 is an abundant number, since it is smaller than the sum of its proper divisors (1433776249660).

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

1131420414020 is a wasteful number, since it uses less digits than its factorization.

1131420414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1131420414020 its reverse (204140241311), we get a palindrome (1335560655331).

The spelling of 1131420414020 in words is "one trillion, one hundred thirty-one billion, four hundred twenty million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 569 1138 2011 2276 2845 3803 4022 5690 7397 7606 8044 10055 11380 14794 15212 19015 20110 26143 29588 36985 38030 40220 49439 52286 73970 76060 98878 104572 130715 147940 197756 247195 261430 494390 522860 988780 1144259 2163907 2288518 4327814 4577036 5721295 7647833 8655628 10819535 11442590 14875367 15295666 21639070 22885180 28130791 29750734 30591332 38239165 43278140 56261582 59501468 74376835 76478330 99421829 112523164 140653955 148753670 152956660 198843658 281307910 297507340 397687316 497109145 562615820 994218290 1988436580 4351616977 8703233954 17406467908 21758084885 43516169770 56571020701 87032339540 113142041402 226284082804 282855103505 565710207010 1131420414020