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100216428 = 2231317233153
BaseRepresentation
bin1011111100100…
…10111001101100
320222120112002120
411332102321230
5201123411203
613535552540
72324553114
oct576227154
9228515076
10100216428
115162a0a4
122968b750
13179bb180
14d44a044
158be8b53
hex5f92e6c

100216428 has 192 divisors, whose sum is σ = 292626432. Its totient is φ = 26357760.

The previous prime is 100216381. The next prime is 100216433. The reversal of 100216428 is 824612001.

It is a junction number, because it is equal to n+sod(n) for n = 100216398 and 100216407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1890850 + ... + 1890902.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2100216428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100216428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

100216428 is an abundant number, since it is smaller than the sum of its proper divisors (192410004).

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

100216428 is a wasteful number, since it uses less digits than its factorization.

100216428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100216428 is about 10010.8155511926. The cubic root of 100216428 is about 464.4934986729.

Adding to 100216428 its reverse (824612001), we get a palindrome (924828429).

The spelling of 100216428 in words is "one hundred million, two hundred sixteen thousand, four hundred twenty-eight".