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100223253 = 32132131503
BaseRepresentation
bin1011111100101…
…00100100010101
320222120212110100
411332110210111
5201124121003
613540044313
72324612034
oct576244425
9228525410
10100223253
1151634239
1229693699
13179c1300
14d44c71b
158beaba3
hex5f94915

100223253 has 36 divisors (see below), whose sum is σ = 158270112. Its totient is φ = 61083360.

The previous prime is 100223243. The next prime is 100223267. The reversal of 100223253 is 352322001.

It is not a de Polignac number, because 100223253 - 29 = 100222741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199000 + ... + 199502.

It is an arithmetic number, because the mean of its divisors is an integer number (4396392).

Almost surely, 2100223253 is an apocalyptic number.

100223253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100223253 is a deficient number, since it is larger than the sum of its proper divisors (58046859).

100223253 is a wasteful number, since it uses less digits than its factorization.

100223253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 100223253 is about 10011.1564267072. The cubic root of 100223253 is about 464.5040428396.

Adding to 100223253 its reverse (352322001), we get a palindrome (452545254).

The spelling of 100223253 in words is "one hundred million, two hundred twenty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 13 39 117 131 169 393 503 507 1179 1509 1521 1703 4527 5109 6539 15327 19617 22139 58851 65893 66417 85007 197679 199251 255021 593037 765063 856609 2569827 7709481 11135917 33407751 100223253