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100514214 = 23231612953
BaseRepresentation
bin1011111110110…
…11100110100110
321000010122120200
411333123212212
5201212423324
613550211330
72330233233
oct577334646
9230118520
10100514214
11518128a9
12297b3b46
1317a93888
14d4c678a
158c56ec9
hex5fdb9a6

100514214 has 48 divisors (see below), whose sum is σ = 228568704. Its totient is φ = 31881600.

The previous prime is 100514201. The next prime is 100514231. The reversal of 100514214 is 412415001.

It is a super-3 number, since 3×1005142143 (a number of 25 digits) contains 333 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32562 + ... + 35514.

It is an arithmetic number, because the mean of its divisors is an integer number (4761848).

Almost surely, 2100514214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100514214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114284352).

100514214 is an abundant number, since it is smaller than the sum of its proper divisors (128054490).

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

100514214 is a wasteful number, since it uses less digits than its factorization.

100514214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100514214 is about 10025.6777327022. The cubic root of 100514214 is about 464.9531135521.

Adding to 100514214 its reverse (412415001), we get a palindrome (512929215).

The spelling of 100514214 in words is "one hundred million, five hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 2953 3782 5673 5906 8859 11346 17019 17718 26577 34038 53154 91543 180133 183086 274629 360266 540399 549258 823887 1080798 1621197 1647774 3242394 5584123 11168246 16752369 33504738 50257107 100514214