Search a number
-
+
221102000010 = 232537127522811
BaseRepresentation
bin1100110111101010110…
…1001100011110001010
3210010200222102100120100
43031322231030132022
512110304103000020
6245323423110230
721655053663633
oct3157255143612
9703628370510
10221102000010
1185850351131
1236a26742376
1317b080c7c08
14a9b68a688a
155b40d1da90
hex337ab4c78a

221102000010 has 96 divisors (see below), whose sum is σ = 595052070912. Its totient is φ = 56915187840.

The previous prime is 221101999999. The next prime is 221102000029. The reversal of 221102000010 is 10000201122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 221101999956 and 221102000001.

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, 161505 + ... + 684315.

It is an arithmetic number, because the mean of its divisors is an integer number (6198459072).

Almost surely, 2221102000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297526035456).

221102000010 is an abundant number, since it is smaller than the sum of its proper divisors (373950070902).

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

221102000010 is a wasteful number, since it uses less digits than its factorization.

221102000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522988 (or 522985 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221102000010 its reverse (10000201122), we get a palindrome (231102201132).

The spelling of 221102000010 in words is "two hundred twenty-one billion, one hundred two million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 127 185 222 254 333 370 381 555 635 666 762 1110 1143 1270 1665 1905 2286 3330 3810 4699 5715 9398 11430 14097 23495 28194 42291 46990 70485 84582 140970 211455 422910 522811 1045622 1568433 2614055 3136866 4705299 5228110 7842165 9410598 15684330 19344007 23526495 38688014 47052990 58032021 66396997 96720035 116064042 132793994 174096063 193440070 199190991 290160105 331984985 348192126 398381982 580320210 597572973 663969970 870480315 995954955 1195145946 1740960630 1991909910 2456688889 2987864865 4913377778 5975729730 7370066667 12283444445 14740133334 22110200001 24566888890 36850333335 44220400002 73700666670 110551000005 221102000010