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100206150 = 23521125521
BaseRepresentation
bin1011111100100…
…00011001000110
320222112222222220
411332100121012
5201123044100
613535433210
72324511132
oct576203106
9228488886
10100206150
1151622400
1229685806
13179b65a5
14d4463c2
158be5aa0
hex5f90646

100206150 has 72 divisors (see below), whose sum is σ = 273206472. Its totient is φ = 24288000.

The previous prime is 100206137. The next prime is 100206163. The reversal of 100206150 is 51602001.

It is an interprime number because it is at equal distance from previous prime (100206137) and next prime (100206163).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15390 + ... + 20910.

Almost surely, 2100206150 is an apocalyptic number.

100206150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100206150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136603236).

100206150 is an abundant number, since it is smaller than the sum of its proper divisors (173000322).

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

100206150 is a wasteful number, since it uses less digits than its factorization.

100206150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100206150 is about 10010.3021932407. The cubic root of 100206150 is about 464.4776189497.

Adding to 100206150 its reverse (51602001), we get a palindrome (151808151).

The spelling of 100206150 in words is "one hundred million, two hundred six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1650 1815 3025 3630 5521 6050 9075 11042 16563 18150 27605 33126 55210 60731 82815 121462 138025 165630 182193 276050 303655 364386 414075 607310 668041 828150 910965 1336082 1518275 1821930 2004123 3036550 3340205 4008246 4554825 6680410 9109650 10020615 16701025 20041230 33402050 50103075 100206150