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1131022311020 = 2257423899859
BaseRepresentation
bin10000011101010110001…
…011101101111001101100
311000010100220000110011222
4100131112023231321230
5122012313202423040
62223330125202512
7144466534010000
oct20352613557154
94003326013158
101131022311020
113a6733677468
12163249100438
1382868bbc824
143ca555ca700
151e649216bb5
hex107562ede6c

1131022311020 has 120 divisors (see below), whose sum is σ = 2772280786800. Its totient is φ = 387577443456.

The previous prime is 1131022311019. The next prime is 1131022311031. The reversal of 1131022311020 is 201132201311.

It is a super-2 number, since 2×11310223110202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131022311020.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114714851 + ... + 114724709.

It is an arithmetic number, because the mean of its divisors is an integer number (23102339890).

Almost surely, 21131022311020 is an apocalyptic number.

1131022311020 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 1131022311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386140393400).

1131022311020 is an abundant number, since it is smaller than the sum of its proper divisors (1641258475780).

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

1131022311020 is an equidigital number, since it uses as much as digits as its factorization.

1131022311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1131022311020 its reverse (201132201311), we get a palindrome (1332154512331).

The spelling of 1131022311020 in words is "one trillion, one hundred thirty-one billion, twenty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2389 2401 3430 4778 4802 6860 9556 9604 9859 11945 12005 16723 19718 23890 24010 33446 39436 47780 48020 49295 66892 69013 83615 98590 117061 138026 167230 197180 234122 276052 334460 345065 468244 483091 585305 690130 819427 966182 1170610 1380260 1638854 1932364 2341220 2415455 3277708 3381637 4097135 4830910 5735989 6763274 8194270 9661820 11471978 13526548 16388540 16908185 22943956 23553151 23671459 28679945 33816370 47106302 47342918 57359890 67632740 94212604 94685836 114719780 117765755 118357295 164872057 235531510 236714590 329744114 471063020 473429180 659488228 824360285 1154104399 1648720570 2308208798 3297441140 4616417596 5770521995 8078730793 11541043990 16157461586 23082087980 32314923172 40393653965 56551115551 80787307930 113102231102 161574615860 226204462204 282755577755 565511155510 1131022311020