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1052235022100 = 225259223799753
BaseRepresentation
bin11110100111111100001…
…10000011111100010100
310201121000001211111001012
433103332012003330110
5114214434131201400
62123220132151352
7136010236054133
oct17237606037424
93647001744035
101052235022100
11376283269149
1214bb1b468558
13782c10aca42
1438cdd92d91a
151c587444d35
hexf4fe183f14

1052235022100 has 72 divisors (see below), whose sum is σ = 2332466545920. Its totient is φ = 411904270080.

The previous prime is 1052235022093. The next prime is 1052235022133. The reversal of 1052235022100 is 12205322501.

It is a super-2 number, since 2×10522350221002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915824 + ... + 1715576.

Almost surely, 21052235022100 is an apocalyptic number.

1052235022100 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 1052235022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166233272960).

1052235022100 is an abundant number, since it is smaller than the sum of its proper divisors (1280231523820).

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

1052235022100 is a wasteful number, since it uses less digits than its factorization.

1052235022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800049 (or 800042 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The spelling of 1052235022100 in words is "one trillion, fifty-two billion, two hundred thirty-five million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 223 236 295 446 590 892 1115 1180 1475 2230 2950 4460 5575 5900 11150 13157 22300 26314 52628 65785 131570 263140 328925 657850 799753 1315700 1599506 3199012 3998765 7997530 15995060 19993825 39987650 47185427 79975300 94370854 178344919 188741708 235927135 356689838 471854270 713379676 891724595 943708540 1179635675 1783449190 2359271350 3566898380 4458622975 4718542700 8917245950 10522350221 17834491900 21044700442 42089400884 52611751105 105223502210 210447004420 263058755525 526117511050 1052235022100