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1052150041300 = 225217647956587
BaseRepresentation
bin11110100111110010000…
…01111000101011010100
310201120210010221000022011
433103321001320223110
5114214300402310200
62123203454514004
7136005154534531
oct17237101705324
93646703830264
101052150041300
1137623a2a5886
1214bab6b05904
13782a95c7547
1438cd252bd88
151c57ec5a5ba
hexf4f9078ad4

1052150041300 has 72 divisors (see below), whose sum is σ = 2421208407744. Its totient is φ = 395490915840.

The previous prime is 1052150041279. The next prime is 1052150041301. The reversal of 1052150041300 is 31400512501.

It is a happy number.

It is a super-2 number, since 2×10521500413002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052150041301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621607 + ... + 1578193.

It is an arithmetic number, because the mean of its divisors is an integer number (33627894552).

Almost surely, 21052150041300 is an apocalyptic number.

1052150041300 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 1052150041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210604203872).

1052150041300 is an abundant number, since it is smaller than the sum of its proper divisors (1369058366444).

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

1052150041300 is a wasteful number, since it uses less digits than its factorization.

1052150041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957265 (or 957258 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 1052150041300 its reverse (31400512501), we get a palindrome (1083550553801).

The spelling of 1052150041300 in words is "one trillion, fifty-two billion, one hundred fifty million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 647 850 1294 1700 2588 3235 6470 10999 12940 16175 21998 32350 43996 54995 64700 109990 219980 274975 549950 956587 1099900 1913174 3826348 4782935 9565870 16261979 19131740 23914675 32523958 47829350 65047916 81309895 95658700 162619790 325239580 406549475 618911789 813098950 1237823578 1626197900 2475647156 3094558945 6189117890 10521500413 12378235780 15472794725 21043000826 30945589450 42086001652 52607502065 61891178900 105215004130 210430008260 263037510325 526075020650 1052150041300