Search a number
-
+
122202311222033 = 74167811737547
BaseRepresentation
bin11011110010010001110001…
…010110011110001100010001
3121000200102112011212210222222
4123302101301112132030101
5112004130313133101113
61111522544453310425
734511553122540000
oct3362216126361421
9530612464783888
10122202311222033
1135a34788971549
1211857762935415
135325822a841c3
1422268a2950c37
15e1db68943e08
hex6f247159e311

122202311222033 has 40 divisors (see below), whose sum is σ = 143436026809152. Its totient is φ = 104102023831008.

The previous prime is 122202311222029. The next prime is 122202311222041. The reversal of 122202311222033 is 330222113202221.

It is not a de Polignac number, because 122202311222033 - 22 = 122202311222029 is a prime.

It is a super-2 number, since 2×1222023112220332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122202311221993 and 122202311222011.

It is not an unprimeable number, because it can be changed into a prime (122202311222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3254630366 + ... + 3254667912.

Almost surely, 2122202311222033 is an apocalyptic number.

It is an amenable number.

122202311222033 is a deficient number, since it is larger than the sum of its proper divisors (21233715587119).

122202311222033 is an frugal number, since it uses more digits than its factorization.

122202311222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45859 (or 45838 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122202311222033 its reverse (330222113202221), we get a palindrome (452424424424254).

The spelling of 122202311222033 in words is "one hundred twenty-two trillion, two hundred two billion, three hundred eleven million, two hundred twenty-two thousand, thirty-three".

Divisors: 1 7 49 167 343 1169 2401 8117 8183 37547 56819 57281 262829 397733 400967 1355539 1839803 2784131 6270349 9488773 12878621 19488917 43892443 66421411 90150347 304768999 307247101 464949877 2133382993 2150729707 3254649139 14933680951 15055107949 50896422833 104535766657 356274959831 731750366599 2493924718817 17457473031719 122202311222033