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10302122100 = 22352136725121
BaseRepresentation
bin10011001100000110…
…11110100001110100
3222120222021000201210
421212003132201310
5132044320401400
64422134121420
7513203410254
oct114603364164
928528230653
1010302122100
1144073088a6
121bb61b0270
13c8247c14a
146da329964
1540468a950
hex2660de874

10302122100 has 72 divisors (see below), whose sum is σ = 29830465728. Its totient is φ = 2745113600.

The previous prime is 10302122093. The next prime is 10302122113. The reversal of 10302122100 is 122120301.

It is a super-2 number, since 2×103021221002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397540 + ... + 422660.

It is an arithmetic number, because the mean of its divisors is an integer number (414312024).

Almost surely, 210302122100 is an apocalyptic number.

10302122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302122100 is an abundant number, since it is smaller than the sum of its proper divisors (19528343628).

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

10302122100 is a wasteful number, since it uses less digits than its factorization.

10302122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26505 (or 26498 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10302122100 its reverse (122120301), we get a palindrome (10424242401).

The spelling of 10302122100 in words is "ten billion, three hundred two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1367 2734 4101 5468 6835 8202 13670 16404 20505 25121 27340 34175 41010 50242 68350 75363 82020 100484 102525 125605 136700 150726 205050 251210 301452 376815 410100 502420 628025 753630 1256050 1507260 1884075 2512100 3768150 7536300 34340407 68680814 103021221 137361628 171702035 206042442 343404070 412084884 515106105 686808140 858510175 1030212210 1717020350 2060424420 2575530525 3434040700 5151061050 10302122100