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10301000022 = 2323783307607
BaseRepresentation
bin10011001011111110…
…01100100101010110
3222120220011000112100
421211333030211112
5132044024000042
64422054102530
7513161025015
oct114577144526
928526130470
1010301000022
114406711865
121bb594aa46
13c821784b1
146da116a7c
1540451824c
hex265fcc956

10301000022 has 96 divisors (see below), whose sum is σ = 23312120832. Its totient is φ = 3284442432.

The previous prime is 10300999963. The next prime is 10301000029. The reversal of 10301000022 is 22000010301.

It is a happy number.

It is a super-2 number, since 2×103010000222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10300999968 and 10301000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16970043 + ... + 16970649.

It is an arithmetic number, because the mean of its divisors is an integer number (242834592).

Almost surely, 210301000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10301000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656060416).

10301000022 is an abundant number, since it is smaller than the sum of its proper divisors (13011120810).

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

10301000022 is a wasteful number, since it uses less digits than its factorization.

10301000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10301000022 its reverse (22000010301), we get a palindrome (32301010323).

The spelling of 10301000022 in words is "ten billion, three hundred one million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 83 111 166 222 249 307 333 498 607 614 666 747 921 1214 1494 1821 1842 2763 3071 3642 5463 5526 6142 9213 10926 11359 18426 22459 22718 25481 27639 34077 44918 50381 50962 55278 67377 68154 76443 100762 102231 134754 151143 152886 186349 202131 204462 229329 302286 372698 404262 453429 458658 559047 906858 942797 1118094 1677141 1864097 1885594 2828391 3354282 3728194 5592291 5656782 6894913 8485173 11184582 13789826 15466967 16776873 16970346 20684739 30933934 33553746 41369478 46400901 62054217 92801802 124108434 139202703 278405406 572277779 1144555558 1716833337 3433666674 5150500011 10301000022