Search a number
-
+
21332111100 = 2235273977997
BaseRepresentation
bin10011110111011111…
…100010111011111100
32001001200010112010220
4103313133202323330
5322142010023400
613444433101340
71353425644506
oct236737427374
961050115126
1021332111100
119057469893
1241740b7850
13201c676761
1410651a4d76
1584cba07a0
hex4f77e2efc

21332111100 has 144 divisors (see below), whose sum is σ = 62693258208. Its totient is φ = 5599272960.

The previous prime is 21332111081. The next prime is 21332111107. The reversal of 21332111100 is 111123312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21332111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332111107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21395802 + ... + 21396798.

Almost surely, 221332111100 is an apocalyptic number.

21332111100 is a gapful number since it is divisible by the number (20) 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 21332111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31346629104).

21332111100 is an abundant number, since it is smaller than the sum of its proper divisors (41361147108).

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

21332111100 is a wasteful number, since it uses less digits than its factorization.

21332111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21332111100 its reverse (111123312), we get a palindrome (21443234412).

The spelling of 21332111100 in words is "twenty-one billion, three hundred thirty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 977 997 1095 1460 1825 1954 1994 2190 2931 2991 3650 3908 3988 4380 4885 4985 5475 5862 5982 7300 9770 9970 10950 11724 11964 14655 14955 19540 19940 21900 24425 24925 29310 29910 48850 49850 58620 59820 71321 72781 73275 74775 97700 99700 142642 145562 146550 149550 213963 218343 285284 291124 293100 299100 356605 363905 427926 436686 713210 727810 855852 873372 974069 1069815 1091715 1426420 1455620 1783025 1819525 1948138 2139630 2183430 2922207 3566050 3639050 3896276 4279260 4366860 4870345 5349075 5458575 5844414 7132100 7278100 9740690 10698150 10917150 11688828 14611035 19481380 21396300 21834300 24351725 29222070 48703450 58444140 71107037 73055175 97406900 142214074 146110350 213321111 284428148 292220700 355535185 426642222 711070370 853284444 1066605555 1422140740 1777675925 2133211110 3555351850 4266422220 5333027775 7110703700 10666055550 21332111100