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1141333434100 = 2252139397206827
BaseRepresentation
bin10000100110111100110…
…001100001111011110100
311001002222111012202221101
4100212330301201323310
5122144422324342400
62232153224255444
7145313210056216
oct20467461417364
94032874182841
101141333434100
11400044a72892
12165246311584
13838201a08a2
143d352bba5b6
151ea4e57e56a
hex109bcc61ef4

1141333434100 has 72 divisors (see below), whose sum is σ = 2500806986720. Its totient is φ = 452105089920.

The previous prime is 1141333434097. The next prime is 1141333434119. The reversal of 1141333434100 is 14343331411.

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, 5414887 + ... + 5621713.

Almost surely, 21141333434100 is an apocalyptic number.

1141333434100 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 1141333434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250403493360).

1141333434100 is an abundant number, since it is smaller than the sum of its proper divisors (1359473552620).

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

1141333434100 is a wasteful number, since it uses less digits than its factorization.

1141333434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207377 (or 207370 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1141333434100 its reverse (14343331411), we get a palindrome (1155676765511).

The spelling of 1141333434100 in words is "one trillion, one hundred forty-one billion, three hundred thirty-three million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 397 556 695 794 1390 1588 1985 2780 3475 3970 6950 7940 9925 13900 19850 39700 55183 110366 206827 220732 275915 413654 551830 827308 1034135 1103660 1379575 2068270 2759150 4136540 5170675 5518300 10341350 20682700 28748953 57497906 82110319 114995812 143744765 164220638 287489530 328441276 410551595 574979060 718723825 821103190 1437447650 1642206380 2052757975 2874895300 4105515950 8211031900 11413334341 22826668682 45653337364 57066671705 114133343410 228266686820 285333358525 570666717050 1141333434100