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101022102022 = 21947891374639
BaseRepresentation
bin101111000010101100…
…0101111001000000110
3100122202101220111122011
41132011120233020012
53123343124231042
6114224154124434
710204264461532
oct1360530571006
9318671814564
10101022102022
1139930385516
12176b412071a
1396ac4b7a3a
144c64ac2bc2
152963d34a17
hex178562f206

101022102022 has 64 divisors (see below), whose sum is σ = 165970944000. Its totient is φ = 45960279552.

The previous prime is 101022101963. The next prime is 101022102023. The reversal of 101022102022 is 220201220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101022101993 and 101022102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102023) 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 31 ways as a sum of consecutive naturals, for example, 21774379 + ... + 21779017.

It is an arithmetic number, because the mean of its divisors is an integer number (2593296000).

Almost surely, 2101022102022 is an apocalyptic number.

101022102022 is a deficient number, since it is larger than the sum of its proper divisors (64948841978).

101022102022 is a wasteful number, since it uses less digits than its factorization.

101022102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101022102022 its reverse (220201220101), we get a palindrome (321223322123).

The spelling of 101022102022 in words is "one hundred one billion, twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 19 38 47 89 94 137 178 274 893 1691 1786 2603 3382 4183 4639 5206 6439 8366 9278 12193 12878 24386 79477 88141 122341 158954 176282 218033 231667 244682 412871 436066 463334 573071 635543 825742 1146142 1271086 4142627 7844549 8285254 10888349 12075317 15689098 19404937 21776698 24150634 29870521 38809874 56563327 59741042 113126654 368693803 567539899 737387606 1074703213 1135079798 2149406426 2658476369 5316952738 50511051011 101022102022