Search a number
-
+
221230100300202 = 23378114523159553
BaseRepresentation
bin110010010011010100100101…
…100010101100000110101010
31002000022101120001211100121000
4302103110211202230012222
5212444113221134101302
62102303412142055430
764412230056353640
oct6223244542540652
91060271501740530
10221230100300202
1164544182187534
122098ba60b7a576
139659ba7c3ca26
143c8b845c83190
151a89a8144d31c
hexc935258ac1aa

221230100300202 has 128 divisors (see below), whose sum is σ = 562674916177920. Its totient is φ = 63116307717120.

The previous prime is 221230100300191. The next prime is 221230100300249. The reversal of 221230100300202 is 202003001032122.

221230100300202 is a `hidden beast` number, since 2 + 212 + 30 + 100 + 300 + 20 + 2 = 666.

It is a super-3 number, since 3×2212301003002023 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386482058 + ... + 1386641610.

It is an arithmetic number, because the mean of its divisors is an integer number (4395897782640).

Almost surely, 2221230100300202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221230100300202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281337458088960).

221230100300202 is an abundant number, since it is smaller than the sum of its proper divisors (341444815877718).

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

221230100300202 is a wasteful number, since it uses less digits than its factorization.

221230100300202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164905 (or 164899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221230100300202 its reverse (202003001032122), we get a palindrome (423233101332324).

The spelling of 221230100300202 in words is "two hundred twenty-one trillion, two hundred thirty billion, one hundred million, three hundred thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 811 1622 2433 4523 4866 5677 7299 9046 11354 13569 14598 17031 21897 27138 31661 34062 40707 43794 51093 63322 81414 94983 102186 122121 153279 159553 189966 244242 284949 306558 319106 478659 569898 854847 957318 1116871 1435977 1709694 2233742 2871954 3350613 3668153 4307931 6701226 7336306 8615862 10051839 11004459 20103678 22008918 25677071 30155517 33013377 51354142 60311034 66026754 77031213 99040131 129397483 154062426 198080262 231093639 258794966 388192449 462187278 693280917 721658219 776384898 905782381 1164577347 1386561834 1443316438 1811564762 2164974657 2329154694 2717347143 3493732041 4329949314 5051607533 5434694286 6494923971 6987464082 8152041429 10103215066 12989847942 15154822599 16304082858 19484771913 24456124287 30309645198 38969543826 45464467797 48912248574 90928935594 136393403391 272786806782 585264815609 1170529631218 1755794446827 3511588893654 4096853709263 5267383340481 8193707418526 10534766680962 12290561127789 15802150021443 24581122255578 31604300042886 36871683383367 73743366766734 110615050150101 221230100300202