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10312300100 = 22525361167191
BaseRepresentation
bin10011001101010100…
…10011011001000100
3222121200102010022202
421212222103121010
5132104422100400
64423140214032
7513356050604
oct114652233104
928550363282
1010312300100
11441202a773
121bb969a318
13c84603a2b
146db818c04
154054eb4d5
hex266a93644

10312300100 has 144 divisors (see below), whose sum is σ = 23434500096. Its totient is φ = 3936192000.

The previous prime is 10312300091. The next prime is 10312300121. The reversal of 10312300100 is 100321301.

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, 53991005 + ... + 53991195.

It is an arithmetic number, because the mean of its divisors is an integer number (162739584).

Almost surely, 210312300100 is an apocalyptic number.

10312300100 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 10312300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11717250048).

10312300100 is an abundant number, since it is smaller than the sum of its proper divisors (13122199996).

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

10312300100 is a wasteful number, since it uses less digits than its factorization.

10312300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10312300100 its reverse (100321301), we get a palindrome (10412621401).

The spelling of 10312300100 in words is "ten billion, three hundred twelve million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 61 100 106 122 167 191 212 244 265 305 334 382 530 610 668 764 835 955 1060 1220 1325 1525 1670 1910 2650 3050 3233 3340 3820 4175 4775 5300 6100 6466 8350 8851 9550 10123 10187 11651 12932 16165 16700 17702 19100 20246 20374 23302 31897 32330 35404 40492 40748 44255 46604 50615 50935 58255 63794 64660 80825 88510 101230 101870 116510 127588 159485 161650 177020 202460 203740 221275 233020 253075 254675 291275 318970 323300 442550 506150 509350 539911 582550 617503 637940 797425 885100 1012300 1018700 1079822 1165100 1235006 1594850 1690541 1945717 2159644 2470012 2699555 3087515 3189700 3381082 3891434 5399110 6175030 6762164 7782868 8452705 9728585 10798220 12350060 13497775 15437575 16905410 19457170 26995550 30875150 33810820 38914340 42263525 48642925 53991100 61750300 84527050 97285850 103123001 169054100 194571700 206246002 412492004 515615005 1031230010 2062460020 2578075025 5156150050 10312300100