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100047612 = 22373109223
BaseRepresentation
bin1011111011010…
…01101011111100
320222020221112010
411331221223330
5201103010422
613532211220
72323251000
oct575515374
9228227463
10100047612
1151524285
1229609b10
131795c392
14d404700
158bb3b0c
hex5f69afc

100047612 has 96 divisors (see below), whose sum is σ = 275968000. Its totient is φ = 28195776.

The previous prime is 100047611. The next prime is 100047653. The reversal of 100047612 is 216740001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100047611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448533 + ... + 448755.

Almost surely, 2100047612 is an apocalyptic number.

100047612 is a gapful number since it is divisible by the number (12) 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 100047612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137984000).

100047612 is an abundant number, since it is smaller than the sum of its proper divisors (175920388).

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

100047612 is a wasteful number, since it uses less digits than its factorization.

100047612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 100047612 is about 10002.3803167046. The cubic root of 100047612 is about 464.2325367824.

Adding to 100047612 its reverse (216740001), we get a palindrome (316787613).

The spelling of 100047612 in words is "one hundred million, forty-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 223 294 327 343 436 446 588 654 669 686 763 892 1029 1308 1338 1372 1526 1561 2058 2289 2676 3052 3122 4116 4578 4683 5341 6244 9156 9366 10682 10927 16023 18732 21364 21854 24307 32046 32781 37387 43708 48614 64092 65562 72921 74774 76489 97228 112161 131124 145842 149548 152978 170149 224322 229467 291684 305956 340298 448644 458934 510447 680596 917868 1020894 1191043 2041788 2382086 3573129 4764172 7146258 8337301 14292516 16674602 25011903 33349204 50023806 100047612