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1061382251130 = 23529532434311
BaseRepresentation
bin11110111000111110100…
…11111110001001111010
310202110121112221212022120
433130133103332021322
5114342202324014010
62131331533102110
7136453020164265
oct17343723761172
93673545855276
101061382251130
1137a147679763
12151852927936
137911b1cb8b6
143952a70bcdc
151c920504e70
hexf71f4fe27a

1061382251130 has 96 divisors (see below), whose sum is σ = 2685820152960. Its totient is φ = 268118672640.

The previous prime is 1061382251107. The next prime is 1061382251219. The reversal of 1061382251130 is 311522831601.

It is a super-2 number, since 2×10613822511302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1061382251091 and 1061382251100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226675 + ... + 2660985.

It is an arithmetic number, because the mean of its divisors is an integer number (27977293260).

Almost surely, 21061382251130 is an apocalyptic number.

1061382251130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061382251130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342910076480).

1061382251130 is an abundant number, since it is smaller than the sum of its proper divisors (1624437901830).

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

1061382251130 is a wasteful number, since it uses less digits than its factorization.

1061382251130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434456 (or 434403 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1061382251130 in words is "one trillion, sixty-one billion, three hundred eighty-two million, two hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 87 106 145 159 174 265 290 318 435 530 795 870 1537 1590 2809 3074 4611 5618 7685 8427 9222 14045 15370 16854 23055 28090 42135 46110 81461 84270 162922 244383 407305 434311 488766 814610 868622 1221915 1302933 2171555 2443830 2605866 4343110 6514665 12595019 13029330 23018483 25190038 37785057 46036966 62975095 69055449 75570114 115092415 125950190 138110898 188925285 230184830 345277245 377850570 667536007 690554490 1219979599 1335072014 2002608021 2439959198 3337680035 3659938797 4005216042 6099897995 6675360070 7319877594 10013040105 12199795990 18299693985 20026080210 35379408371 36599387970 70758816742 106138225113 176897041855 212276450226 353794083710 530691125565 1061382251130