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10312400100 = 22352191809193
BaseRepresentation
bin10011001101010101…
…01011110011100100
3222121200121012111110
421212222223303210
5132104433300400
64423142305020
7513356645262
oct114652536344
928550535443
1010312400100
114412098912
121bb9728170
13c8463a3c2
146db843432
1540551ae50
hex266aabce4

10312400100 has 72 divisors (see below), whose sum is σ = 31407607840. Its totient is φ = 2605236480.

The previous prime is 10312400057. The next prime is 10312400149. The reversal of 10312400100 is 100421301.

It is a happy number.

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

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, 898897 + ... + 910296.

Almost surely, 210312400100 is an apocalyptic number.

10312400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312400100 is an abundant number, since it is smaller than the sum of its proper divisors (21095207740).

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

10312400100 is a wasteful number, since it uses less digits than its factorization.

10312400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809229 (or 1809222 counting only the distinct ones).

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

Adding to 10312400100 its reverse (100421301), we get a palindrome (10412821401).

The spelling of 10312400100 in words is "ten billion, three hundred twelve million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 1809193 3618386 5427579 7236772 9045965 10855158 18091930 21710316 27137895 34374667 36183860 45229825 54275790 68749334 90459650 103124001 108551580 135689475 137498668 171873335 180919300 206248002 271378950 343746670 412496004 515620005 542757900 687493340 859366675 1031240010 1718733350 2062480020 2578100025 3437466700 5156200050 10312400100