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100212606 = 23313279139
BaseRepresentation
bin1011111100100…
…01111101111110
320222120022212000
411332101331332
5201123300411
613535523130
72324536014
oct576217576
9228508760
10100212606
115162723a
12296894a6
13179b9500
14d4488b4
158be7956
hex5f91f7e

100212606 has 96 divisors (see below), whose sum is σ = 245952000. Its totient is φ = 30225312.

The previous prime is 100212599. The next prime is 100212617. The reversal of 100212606 is 606212001.

It is a happy number.

It is a super-2 number, since 2×1002126062 = 20085132802622472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720885 + ... + 721023.

It is an arithmetic number, because the mean of its divisors is an integer number (2562000).

Almost surely, 2100212606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122976000).

100212606 is an abundant number, since it is smaller than the sum of its proper divisors (145739394).

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

100212606 is a wasteful number, since it uses less digits than its factorization.

100212606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100212606 is about 10010.6246558344. The cubic root of 100212606 is about 464.4875937304.

Adding to 100212606 its reverse (606212001), we get a palindrome (706424607).

The spelling of 100212606 in words is "one hundred million, two hundred twelve thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 117 139 158 169 234 237 278 338 351 417 474 507 702 711 834 1014 1027 1251 1422 1521 1807 2054 2133 2502 3042 3081 3614 3753 4266 4563 5421 6162 7506 9126 9243 10842 10981 13351 16263 18486 21962 23491 26702 27729 32526 32943 40053 46982 48789 55458 65886 70473 80106 97578 98829 120159 140946 142753 197658 211419 240318 285506 296487 360477 422838 428259 592974 634257 720954 856518 1268514 1284777 1855789 2569554 3711578 3854331 5567367 7708662 11134734 16702101 33404202 50106303 100212606