Search a number
-
+
101211221022 = 23371605728393
BaseRepresentation
bin101111001000010101…
…0001010110000011110
3100200020120202202010120
41132100222022300132
53124240033033042
6114255031415410
710212052120062
oct1362052126036
9320216682116
10101211221022
1139a1810640a
1217747524566
13970c732482
144c81c71aa2
15297573edec
hex1790a8ac1e

101211221022 has 32 divisors (see below), whose sum is σ = 207913588512. Its totient is φ = 32822060544.

The previous prime is 101211221021. The next prime is 101211221057. The reversal of 101211221022 is 220122112101.

It is a super-2 number, since 2×1012112210222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211220992 and 101211221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3550458 + ... + 3578850.

It is an arithmetic number, because the mean of its divisors is an integer number (6497299641).

Almost surely, 2101211221022 is an apocalyptic number.

101211221022 is an abundant number, since it is smaller than the sum of its proper divisors (106702367490).

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

101211221022 is a wasteful number, since it uses less digits than its factorization.

101211221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44492.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101211221022 its reverse (220122112101), we get a palindrome (321333333123).

The spelling of 101211221022 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 37 74 111 222 16057 28393 32114 48171 56786 85179 96342 170358 594109 1050541 1188218 1782327 2101082 3151623 3564654 6303246 455906401 911812802 1367719203 2735438406 16868536837 33737073674 50605610511 101211221022