Search a number
-
+
222122121102101 = 11173138316736433
BaseRepresentation
bin110010100000010011010110…
…001000000000001100010101
31002010110200000112100011202202
4302200103112020000030111
5213103222101000231401
62104225254351414245
764533536141153153
oct6240232610001425
91063420015304682
10222122121102101
116485850a717730
1220ab4908b24385
1396c304558a12c
143cbcaa76583d3
151aa2d8d1dd06b
hexca04d6200315

222122121102101 has 16 divisors (see below), whose sum is σ = 264845282231808. Its totient is φ = 183920334873600.

The previous prime is 222122121102053. The next prime is 222122121102107. The reversal of 222122121102101 is 101201121221222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222122121102101 is a prime.

It is a super-2 number, since 2×2221221211021012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222122121102107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19158362420 + ... + 19158374013.

It is an arithmetic number, because the mean of its divisors is an integer number (16552830139488).

Almost surely, 2222122121102101 is an apocalyptic number.

It is an amenable number.

222122121102101 is a deficient number, since it is larger than the sum of its proper divisors (42723161129707).

222122121102101 is a wasteful number, since it uses less digits than its factorization.

222122121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38316736492.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222122121102101 its reverse (101201121221222), we get a palindrome (323323242323323).

The spelling of 222122121102101 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred two thousand, one hundred one".

Divisors: 1 11 17 31 187 341 527 5797 38316736433 421484100763 651384519361 1187818829423 7165229712971 13066007123653 20192920100191 222122121102101