Search a number
-
+
10333234100 = 22527174121179
BaseRepresentation
bin10011001111110100…
…01010001110110100
3222200010210200101002
421213322022032310
5132130301442400
64425205022432
7514032016640
oct114772121664
928603720332
1010333234100
1144229287a2
1220046b4a18
13c88a53307
14700507c20
15407283ed5
hex267e8a3b4

10333234100 has 144 divisors (see below), whose sum is σ = 27796970880. Its totient is φ = 3252940800.

The previous prime is 10333234091. The next prime is 10333234111. The reversal of 10333234100 is 143233301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 477311 + ... + 498489.

It is an arithmetic number, because the mean of its divisors is an integer number (193034520).

Almost surely, 210333234100 is an apocalyptic number.

10333234100 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 10333234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898485440).

10333234100 is an abundant number, since it is smaller than the sum of its proper divisors (17463736780).

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

10333234100 is a wasteful number, since it uses less digits than its factorization.

10333234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21258 (or 21251 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10333234100 its reverse (143233301), we get a palindrome (10476467401).

The spelling of 10333234100 in words is "ten billion, three hundred thirty-three million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 41 50 68 70 82 85 100 119 140 164 170 175 205 238 287 340 350 410 425 476 574 595 697 700 820 850 1025 1148 1190 1394 1435 1700 2050 2380 2788 2870 2975 3485 4100 4879 5740 5950 6970 7175 9758 11900 13940 14350 17425 19516 21179 24395 28700 34850 42358 48790 69700 84716 97580 105895 121975 148253 211790 243950 296506 360043 423580 487900 529475 593012 720086 741265 868339 1058950 1440172 1482530 1736678 1800215 2117900 2520301 2965060 3473356 3600430 3706325 4341695 5040602 6078373 7200860 7412650 8683390 9001075 10081204 12156746 12601505 14761763 14825300 17366780 18002150 21708475 24313492 25203010 29523526 30391865 36004300 43416950 50406020 59047052 60783730 63007525 73808815 86833900 103332341 121567460 126015050 147617630 151959325 206664682 252030100 295235260 303918650 369044075 413329364 516661705 607837300 738088150 1033323410 1476176300 2066646820 2583308525 5166617050 10333234100