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10321130100 = 22352172936907
BaseRepresentation
bin10011001110010111…
…11111001001110100
3222122022000201210210
421213023333021310
5132114202130400
64424053345420
7513524105211
oct114713771164
928568021723
1010321130100
114417010896
122000638270
13c863a5b98
146dca76b08
15406192950
hex2672ff274

10321130100 has 144 divisors (see below), whose sum is σ = 31731594048. Its totient is φ = 2581186560.

The previous prime is 10321130089. The next prime is 10321130123. The reversal of 10321130100 is 103112301.

It is a super-2 number, since 2×103211301002 (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 47 ways as a sum of consecutive naturals, for example, 1490847 + ... + 1497753.

It is an arithmetic number, because the mean of its divisors is an integer number (220358292).

Almost surely, 210321130100 is an apocalyptic number.

10321130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865797024).

10321130100 is an abundant number, since it is smaller than the sum of its proper divisors (21410463948).

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

10321130100 is a wasteful number, since it uses less digits than its factorization.

10321130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10321130100 its reverse (103112301), we get a palindrome (10424242401).

The spelling of 10321130100 in words is "ten billion, three hundred twenty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 293 300 340 425 510 586 850 879 1020 1172 1275 1465 1700 1758 2550 2930 3516 4395 4981 5100 5860 6907 7325 8790 9962 13814 14650 14943 17580 19924 20721 21975 24905 27628 29300 29886 34535 41442 43950 49810 59772 69070 74715 82884 87900 99620 103605 117419 124525 138140 149430 172675 207210 234838 249050 298860 345350 352257 373575 414420 469676 498100 518025 587095 690700 704514 747150 1036050 1174190 1409028 1494300 1761285 2023751 2072100 2348380 2935475 3522570 4047502 5870950 6071253 7045140 8095004 8806425 10118755 11741900 12142506 17612850 20237510 24285012 30356265 34403767 35225700 40475020 50593775 60712530 68807534 101187550 103211301 121425060 137615068 151781325 172018835 202375100 206422602 303562650 344037670 412845204 516056505 607125300 688075340 860094175 1032113010 1720188350 2064226020 2580282525 3440376700 5160565050 10321130100