Search a number
-
+
1102223211201 = 327210199124971
BaseRepresentation
bin10000000010100001100…
…111110111101011000001
310220101000211102121011100
4100002201213313223001
5121024323120224301
62202204312405013
7142430055465600
oct20024147675301
93811024377140
101102223211201
113954a52a4522
121597503a6769
137cc29575868
143b4c2867a37
151da10c55286
hex100a19f7ac1

1102223211201 has 72 divisors (see below), whose sum is σ = 1872334234368. Its totient is φ = 622951560000.

The previous prime is 1102223211197. The next prime is 1102223211263. The reversal of 1102223211201 is 1021123222011.

1102223211201 is a `hidden beast` number, since 1 + 1 + 0 + 222 + 321 + 120 + 1 = 666.

It is not a de Polignac number, because 1102223211201 - 22 = 1102223211197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102223210201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44127646 + ... + 44152616.

It is an arithmetic number, because the mean of its divisors is an integer number (26004642144).

Almost surely, 21102223211201 is an apocalyptic number.

It is an amenable number.

1102223211201 is a deficient number, since it is larger than the sum of its proper divisors (770111023167).

1102223211201 is a wasteful number, since it uses less digits than its factorization.

1102223211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26083 (or 26073 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102223211201 its reverse (1021123222011), we get a palindrome (2123346433212).

The spelling of 1102223211201 in words is "one trillion, one hundred two billion, two hundred twenty-three million, two hundred eleven thousand, two hundred one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 707 909 991 2121 2973 4949 6363 6937 8919 14847 20811 24971 44541 48559 62433 74913 100091 145677 174797 224739 300273 437031 524391 700637 900819 1223579 1573173 2101911 2522071 3670737 4904459 6305733 7566213 11012211 14713377 17654497 22698639 24746261 44140131 52963491 74238783 123581479 158890473 173223827 222716349 370744437 519671481 1112233311 1212566789 1559014443 2499372361 3637700367 7498117083 10913101101 17495606527 22494351249 52486819581 122469245689 157460458743 367407737067 1102223211201