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100228310 = 25713831327
BaseRepresentation
bin1011111100101…
…01110011010110
320222121010101122
411332111303112
5201124301220
613540123542
72324632550
oct576256326
9228533348
10100228310
1151638016
12296965b2
13179c36c0
14d4504d0
158bec425
hex5f95cd6

100228310 has 64 divisors (see below), whose sum is σ = 224888832. Its totient is φ = 31314816.

The previous prime is 100228309. The next prime is 100228333. The reversal of 100228310 is 13822001.

It is a super-2 number, since 2×1002283102 = 20091428250912200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74867 + ... + 76193.

It is an arithmetic number, because the mean of its divisors is an integer number (3513888).

Almost surely, 2100228310 is an apocalyptic number.

100228310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100228310 is an abundant number, since it is smaller than the sum of its proper divisors (124660522).

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

100228310 is a wasteful number, since it uses less digits than its factorization.

100228310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 100228310 is about 10011.4089917454. The cubic root of 100228310 is about 464.5118552562.

The spelling of 100228310 in words is "one hundred million, two hundred twenty-eight thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 83 91 130 166 182 415 455 581 830 910 1079 1162 1327 2158 2654 2905 5395 5810 6635 7553 9289 10790 13270 15106 17251 18578 34502 37765 46445 75530 86255 92890 110141 120757 172510 220282 241514 550705 603785 770987 1101410 1207570 1431833 1541974 2863666 3854935 7159165 7709870 10022831 14318330 20045662 50114155 100228310